TD 1 BASIC CONCEPTS AND ENERGY ANALYSIS

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1 TD 1 BASIC CONCEPTS AND ENERGY ANALYSIS TD 1.1 Denity of liquid water i r = _ T 2 i / m with T in c C. If the temperature increae 10c C, how much will be the change in per meter depth of water? (A) m (B) m (C) 0.05 m (D) m TD 1.2 A cylinder of 2m in length and 0.5 m in diameter i upended from a pring cale at a location hown in figure where the acceleration due to gravity i 9.78 m/ 2. If the metal denity of cylinder varie with poition z according to z 2 r = ^ L h, then the reading of the cale will be (A) 695 N (C) 2446 N (B) N (D) N TD 1. Conider the piton cylinder arrangement a hown in figure. The piton diameter are D 1 = 10 cm and D 2 = 4cm. If p 1 = 1000 kpa and p = 500 kpa, what will be the preure in chamber 2?

2 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 4 TD 4 Baic Concept and Energy Analyi TD 1 (A) 258 kpa (B) 452 kpa (C) 2965 kpa (D) 625 kpa TD 1.4 TD 1.5 A teel cylinder of ma 2 contain 4liter of water at 25c C, 200 kpa. What will be the total ma and volume of the ytem, repectively? (Take r teel = 7820 / m, r water = 997 / m ) (A) 4.491,.20 L (B) 7.784, 5. L (C).249, 2.42 L (D) 5.988, 4.26 L The following table lit temperature and pecific volume of water vapor at two preure: p = 1.0 MPa p = 1.5 MPa T ^cch n ^m / h T ^cch n ^m / h Uing the data provided here, what will be the pecific volume at T = 240cC, p = 1.25 MPa and the temperature at p = 1.5 MPa, n = m /? (A) m /, 00c C (B) m /, 20cC (C) m /, 210c C (D) m /, 260cC TD 1.6 TD 1.7 TD 1.8 TD 1.9 A vacuum gauge connected to a tank read 15 kpa at a location where the barometric reading i 750 mm Hg. What i the abolute preure in the tank? Take r Hg = 1, 590 / m. (A) 80 kpa (B) 95 kpa (C) 85 kpa (D) 75 kpa A 2.5 kj of work i to be delivered on a rod from a pneumatic piton. If the air preure i limited to 500 kpa, what diameter cylinder hould we have to retrict the rod motion to the maximum of 0.5 m? (A) 0.11 m (B) m (C) m (D) m The barometric reading at the top and at the bottom of a building are 70 mm Hg and 755 mm Hg, repectively. If the denitie of air and mercury to be 1.18 / m and 1600 / m, repectively, then the height of the building will be (A) m (B) m (C) m (D) 264.6m A ga contained within a piton-cylinder aembly undergoe a thermodynamic cycle coniting of three procee: Proce 1-2; Compreion with pv contant from p 1 = 1 bar, v 1 = 1.0 m to v 2 = 0.2 m Proce 2-; Contant-preure expanion to v = 1.0 m Proce -1; Contant volume Which one of the following i the correct cycle on a p- vdiagram labelled with each numbered tate? GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

3 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 5 TD 1 Baic Concept and Energy Analyi TD 5 TD 1.10 Given figure how a tank within a tank and both contain air. Preure gage A i located inide tank B and read 1.4 bar. The U-tube manometer connected to tank B contain mercury. The atmopheric preure urrounding tank B i 101 kpa. Uing data on the diagram, the abolute preure inide tank A and tank B, repectively, are (A) 268. bar, 128. bar (B) 2.94bar, 1.56bar (C) 2.4bar, 1.10 bar (D).20bar, 2.10bar TD 1.11 A car of ma 1775 travel with a velocity of 100 km/ h. What will be the kinetic energy and height in the tandard gravitational field to have a potential energy that equal the kinetic energy? (A) kj, 9. m (B) 75.4 kj, 4. m (C) 58.2 kj,.5 m (D) kj, m TD 1.12 Conider a vertical, frictionle piton-cylinder device hown in figure. It contain ga. The piton ha a ma of 4 and a cro-ectional area of 5 cm 2. A compreed pring above the piton exert a force of 60 N on the piton. If the atmopheric preure i 95 kpa, the preure inide the cylinder will be For more GATE Reource, Mock Tet and Study material join the Group

4 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 6 TD 6 Baic Concept and Energy Analyi TD 1 (A) kpa (B) kpa (C) kpa (D) 56.7 kpa TD 1.1 The depth of a wimming pool varie linearly along it length from 1m to 4m. The atmopheric preure i 0.98 bar, the denity of the water i / m and the local acceleration of gravity i 9.81 m/ 2. What will be the total force on the bottom of thi 100 # 50 m wimming pool and the preure on the floor at the center of the pool? 5 5 (A) # 10 kn, kpa (B) 49. # 10 kn, kpa 5 5 (C) 6.1 # 10 kn, kpa (D) 1. 2 # 10 kn, kpa TD 1.14 In the ytem hown, the pring ha a pring contant of 8 kn/ cm. The preure are p 1 = 5000 kpa, p 2 = kpa and p = 1000 kpa. If the piton diameter are D 1 = 8cm and D 2 = cm, how far will the pring be deflected? (A) 2.15 cm (B) 18. cm (C) 198. cm (D) 172. cm TD 1.15 A 1m container i filled with 400 of granite tone ( r = 2750 / m ), 200 dry and ( r = 1500 / m ) and 0.2 m of liquid 25c C water ( r = 997 / m ). What are the average pecific volume and denity of the mae when exclude air ma and volume? (A) m /, 1. / m (B) m /, / m (C) m /, / m (D) m /, 119. / m TD 1.16 An airplane whoe ma i 5000 i flying with a velocity of 150 / m at an altitude of m both meaured relative to the urface of the earth. The GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

5 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 7 TD 1 Baic Concept and Energy Analyi TD 7 2 acceleration of gravity can be taken a contant at g = 9.78 m/. What will be the total (kinetic plu potential) energy of the airplane and the final velocity when the kinetic energy i increaed by kj with no change in elevation? (A) MJ, 180. m/ (B) MJ, m/ (C) MJ, m/ (D) MJ,1 4. m/ TD 1.17 A helium ga filled balloon, whoe weight i about one-eventh of air weight, i hown in figure. Aume the denity of air i r = 1.16 / m and neglect the weight of the rope and the cage. If the balloon ha a diameter of 10 m and carrie two people, 70 each, what will be the acceleration of the balloon when it i firt releaed? (A) 1.5 m/ ec (C) 17.5 m/ec 2 2 (B) 16.5 m/ec (D) 19.5 m/ec 2 2 TD 1.18 TD 1.19 A vertical hydraulic piton cylinder ytem ha a 125 mm piton diameter and fluid inide the cylinder. An outide ambient preure of 1 bar i working on piton. Auming tandard gravity, what will be the piton ma that create a inide preure of 1500 kpa? (A) 2101 (B) 1489 (C) 1969 (D) 1751 One-fourth of a ga contained within a piton-cylinder aembly undergoe a contant-preure proce at 5bar beginning at n 1 = 0.20 m /. For the ga a the ytem, the work i - 15 kj. What will be the final volume of the ga, in m? (A) 0.02 m (B) 0.20 m (C) 0.04 m (D) 0.06 m TD 1.20 The pecific weight of a ytem i a/an (A) extenive property (C) intenive property (B) phyical property (D) none of thee TD 1.21 A wimmer dive 15 m down in the ocean and later climb a hill up to 250 m elevation. The atmophere preure at the beach i 1025 milibar. If the denity of water i about 1000 / m and the denity of air i 1.18 / m, what preure do wimmer feel for at each place? (A) p = 280 kpa, p = 109 kpa ocean hill (B) p = 250 kpa, p = kpa ocean hill (C) p = 00 kpa, p = 12.7 kpa ocean hill For more GATE Reource, Mock Tet and Study material join the Group

6 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 8 TD 8 Baic Concept and Energy Analyi TD 1 (D) p = 225 kpa, p = kpa ocean hill TD 1.22 A ga i compreed from v 1 = 0.m, p 1 = 1bar to v 2 = 0.1 m, p 2 = bar. If the preure and volume are related linearly during the proce, what will be the work? (A) 50 kj (B) 45kJ (C) 40kJ (D) 5kJ TD 1.2 TD 1.24 TD 1.25 The number of mole of a ubtance contained in a ytem i a/an (A) extenive property (B) intenive property (C) chemical property (D) none of thee Liquid water with denity r i filled on top of a thin piton in a cylinder with cro-ectional area A and total height H. Air i let in under the piton o it puhe up, pilling the water over the edge. What will be the air preure at the piton elevation h from the bottom? (A) p = p0 -] H-hg rg (B) p = ] H-hgrg-p 0 (C) p = p + ] H-hg (D) p = p + ] H-hg g 0 r 0 r Warm air i contained in a piton-cylinder aembly oriented horizontally a hown in figure. The air cool lowly from an initial volume of 0.00 m to a final volume of m. During the proce, the pring exert a force that varie linearly from an initial value of 900 N to a final value of zero. The atmopheric preure i 100 kpa and the area of the piton face i m 2. Friction between the piton and the cylinder wall can be neglected. For the air, what will be the work? (A) 100 J (B) 150 J (C) 175J (D) 125 J TD 1.26 The variation of preure with denity in a ga layer i given by the relation p = Cr n, where C and n are contant. What will be the relation for preure a a function of elevation z? Take the preure and denity at z = 0 to be p 0 and r, repectively. 0 n (A) p p n n n n r gz = 0e p o (B) p p n gz 1 1 r0 = d n p n 0 0 /( 1) n/( n ) (C) p p n gz 1 1 r0 = n d n p n (D) p p n gz 1 1 r0 = d n p n /( 1) TD 1.27 Two piton-cylinder arrangement, A and B a hown, have their ga chamber 2 2 connected by a pipe. The cro-ectional area are A A = 75 cm and A B = 25 cm GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

7 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 9 TD 1 Baic Concept and Energy Analyi TD 9. The piton ma in A being m A = 25 and the outide preure i 100 kpa. What will be the ma m B o that none of the piton have to ret on the bottom? (A) 9.7 (B) 6.66 (C) 8. (D) TD 1.28 TD 1.29 TD 1.0 TD 1.1 TD 1.2 Air undergoe two procee in erie: Proce 1-2; Polytropic compreion with n = 1. from p 1 = 100 kpa, n 1 = 0.04 m / to n 2 = 0.02 m /. Proce 2-; Contant-preure proce to n = n 1. What will be the work per unit ma of air? (A) kj/ (B) kj/ (C) kj/ (D) kj/ A pot of water i boiling on a tove upplying 25 W to the water. If the increae in enthalpy during vaporization i hfg = 2257 kj/, what will be the rate of ma vaporizing auming a contant preure proce? (A) 0.17 gm/ (B) gm/ (C) gm/ (D) gm/ A cloed ytem of ma 20 undergoe a proce in which there i a heat tranfer of 1000 kj from the ytem to the urrounding. The work done on the ytem i 200 kj. If the initial pecific internal energy of the ytem i 00 kj/, what i the final pecific internal energy? Neglect change in kinetic and potential energy. (A) 290 kj/ (B) 180 kj/ (C) 260 kj/ (D) 240 kj/ A eminar hall i to be air-conditioned with window air-conditioning unit of 5kW cooling capacity. The hall contain 40 people. A peron at ret may be aumed to diipate heat at a rate of about 60 kj/ h. There are 10 light bulb in the room, each with a rating of 100 W and the rate of heat tranfer to the claroom through the wall and the window i kj/ h. If the room air i to be maintained at a contant temperature of 21c C, the number of window airconditioning unit required will be (A) 4 (B) 5 (C) (D) 2 In the figure hown, 5 of team contained within a piton-cylinder aembly, undergoe an expanion from tate 1 to tate 2. During the proce, 80 kj of heat i tranferred to the team. Alo, a paddle wheel tranfer energy to the team by work in the amount of 18.5 kj. Neglect change in kinetic and potential energy of the team. The energy tranfer by work from the team to the piton during thi proce will be For more GATE Reource, Mock Tet and Study material join the Group

8 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 10 TD 10 Baic Concept and Energy Analyi TD 1 (A) 20 kj (B) 0kJ 5 (C) 90kJ (D) 250kJ TD 1. Conider a room that contain a 100 W light bulb, a 110 W TV et, a 200 W refrigerator and a 1000 W iron. Auming no heat tranfer through the wall. If the room i initially at the outdoor temperature of 20c C, what will be the rate of increae of the energy content of the room when all of thee electric device are on? (A) 1410 W (B) 1622 W (C) 1128 W (D) 1270W TD 1.4 A ga expand in a piton-cylinder aembly from p 1 = 8bar, v 1 = 0.02 m to p 2 = 2bar in a proce during which the relation between preure and volume i pv 12. = contant. The ma of the ga i 0.25 and kinetic and potential energy effect are negligible. If the pecific internal energy of the ga decreae by 55 kj/ during the proce, what will be the heat tranfer, in kj? (A) 25. (B) 4.25 (C).20 (D) 2.75 TD 1.5 TD 1.6 TD 1.7 A motor of 75 hp haft output ha worn out and i replaced by a high-efficiency motor of ame power. The old motor had an efficiency of 91% while the new motor ha an efficiency of percent. Due to higher efficiency under full-load condition, the reduction in the heat gain of the room will be (A) 120 W (B) 2212W (C) 286 W (D) 404 W Conider a rigid well-inulated tank which contain 2 of air with a volume of 0.6 m. The tank i fitted with a paddle wheel that tranfer energy to the air at a contant rate of 10 W for 1h. If the change in kinetic or potential energie are negligible, the pecific volume at the final tate and the energy tranfer by work repectively, are (A) m /, 21 kj (B) 0. 5m /, 27kJ (C) 0. m /, 6 kj (D) 0. 7m /, 41kJ Conider a hydraulic turbine-generator at a ite 70 m below the free urface of a large water reervoir which can upply water at a rate of 1500 / teadily. The mechanical power output of the turbine i 800 kw and the electric power generation i 750 kw. If the loe in the pipe are negligible, the turbine efficiency GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

9 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 11 TD 1 Baic Concept and Energy Analyi TD 11 and the combined turbine-generator efficiency of thi plant, repectively, are (A) 72.7%, 77.6% (B) 77.6%, 72.7% (C) 65.6%, 71.2% (D) 71.2%, 65.6% TD 1.8 TD 1.9 In a vertical piton-cylinder aembly, piton ha a ma of 50 and a face area of 0.01 m 2. Initially, 5gof air occupie a volume of 5liter. The volume of the air lowly decreae to m a the pecific internal energy of the air decreae by 260 kj/. The atmophere exert a preure of 100 kpa on the top of the piton. If the friction between the piton and the cylinder wall i negligible, the heat tranfer to the air will be (A) 1.28 kj (B) kj (C) 1. 9 kj (D) kj A ga undergoe a thermodynamic cycle coniting of three procee: Proce 1-2; Compreion with pv = contant, from p 1 = 1bar, v 1 = 1.6 m to v 2 = 0.2 m, U2- U1= 0. Proce 2-; Contant preure to v= v1. Proce -1; Contant volume, U1- U=- 549 kj. If the change in kinetic or potential energie are negligible, what will be the work for the cycle? (A) 787. kj (B) 144 kj (C) kj (D) kj TD 1.40 Conider a circular windmill with a 7m-diameter rotor in a 10 m/ wind on a day when the atmopheric preure i 100 kpa and the temperature i 20 c C. The wind peed behind the windmill i meaured at 9 m/. Auming the air i incompreible, what will be the diameter of the wind channel downtream from the rotor and the power produced by thi windmill? (A) 4.4 m, 2.61 kw (B) 554. m, 26. kw (C) 78. m, 45. kw (D) 885. m, 522. kw *********** For more GATE Reource, Mock Tet and Study material join the Group

10 TD 2 PROPERTIES OF PURE SUBSTANCES TD 2.1 A tank of 0.05 m volume contain 2 liquid-vapor mixture (two-phae) of carbon dioxide at - 40cC. If the value of pecific volume for aturated liquid and aturated vapor CO 2 at - 40cC are n f = m / and n g = m /, repectively, the quality of the mixture will be (A) 69.% (B) 64.5% (C) 46.5% (D) 54.6% TD 2.2 TD 2. Conider a piton-cylinder arrangement which contain air at 250kPa, 00c C. The 50- piton ha a diameter of 0.1 m and initially puhe againt the top. The atmopheric preure i 100 kpa and 20c C. The cylinder now cool a heat i tranferred to the ambient. At what temperature doe the piton begin to move down? (A) 186. (B) 9. 1 (C) (D) A 0.14 m weighted piton-cylinder device contain 2 of fluid at a temperature of cC. The container i now heated until the temperature i 100c C. If the aturated preure at cC i 100 kpa and the pecific volume at the final tate i m /, what will be the final volume of the fluid? (A) m (B) m (C) m (D) 0.14 m TD 2.4 A water ample at 100 kpa ha pecific volume a n f = m / and n g = m /. If the ample ha the quality of 10 %, the volume fraction of the vapor will be (A) (B) (C) (D) TD 2.5 TD 2.6 Conider a 1m of a two-phae liquid vapor mixture of Refrigerant 22 at 1 bar with a quality of 75 %. If the value of pecific volume for aturated liquid and - aturated vapor at 1bar are n f = # 10 m / and n g = m /, repectively, what will be the ma of the mixture? (A) 9. (B) 1. (C) 62. (D) 465. A rigid container of 14 L contain 10 of refrigerant at 00 kpa. Now the container i heated until the preure i 600 kpa. The thermodynamic propertie of the refrigerant are hown in table. What will be the enthalpie in the container before heating and after heating, repectively? Preure (kpa) Temperature ( c C) Specific volume ( m / ) nf Enthalpy (kj/) ng hf hfg hg

11 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 1 TD 2 Propertie of Pure Subtance TD (A) 42 kj, 545 kj (B) 545 kj, 846 kj (C) 846 kj, 545 kj (D) 545 kj, 42 kj TD 2.7 Conider the table given below. Temperature ( c C) Preure (kpa) Sat. liquid nf Specific volume ( m / ) Evap. nfg Sat. vapor What will be the tate of water at (a) 1 MPa, 190c C and (b) 200 cc, 0.1 m /, repectively? (A) Compreed liquid and uperheated vapor (B) Compreed liquid and mixture of liquid and vapor (C) Superheated vapor and mixture of liquid and vapor (D) Both are uperheated vapor ng TD of water vapor initially at 4MPa and 400c C, i filled in a pringloaded piton-cylinder device a hown in figure. Initially, the pecific volume i m / and the pring exert no force againt the piton. The water now undergoe a proce until it volume i one-half of the original volume. If the pring contant i k = 0.9 kn/ cm, the final preure of the water will be (A) 116 kpa (B) kpa (C) kpa (D) 226 kpa TD 2.9 TD 2.10 A two-phae liquid-vapor mixture of a ubtance ha a preure of 150 bar and occupie a volume of 0.2 m. If the mae of aturated liquid and vapor preent are.8 and 4.2, repectively, the mixture pecific volume in m / will be (A) m / (B) m / (C) m / (D) 0. 5 m / A teel tank contain 6 of propane (liquid + vapor) at 20c C with a volume of For more GATE Reource, Mock Tet and Study material join the Group

12 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 14 TD 14 Propertie of Pure Subtance TD m. The critical pecific volume of propane i n c = m /. The tank i now lowly heated. What will happen to the liquid level inide when (a) ma i 6 and (b) ma i 1 intead of 6, repectively? (A) Level rie to the top in both cae (B) Level drop to the bottom in both cae (C) Level drop to the bottom and rie to the top (D) Level rie to the top and drop to the bottom TD 2.11 TD 2.12 TD 2.1 A piton-cylinder aembly initially contain water vapor at 10 bar and 400c C for which pecific volume i n = m /. The water i cooled at contant volume until it temperature i 150c C. At 150c C, p at. = kpa n f = m /, n fg = m / and n g = m /. The water i then condened iothermally to aturated liquid. Conidering the water a the ytem, what i the work, in kj/? (A) 6.5 (B) 72.7 (C) (D) Conider a piton-cylinder arrangement which contain air at 250kPa, 00c C. The 50- piton ha a diameter of 0.1 m and initially puhe againt the top. The atmopheric preure i 100 kpa and 20c C. The cylinder now cool a heat i tranferred to the ambient. At what temperature doe the piton begin to move down? (A) 186. (B) 9. 1 (C) (D) A preure cooker contain water at 100c C with the liquid volume being 110 / of the vapor volume. It i heated until the preure reache 2.0 MPa. The thermodynamic propertie of aturated water are given in table below. Temperature ( c C) Preure (kpa) Saturated Water Sat. liquid nf Specific volume ( m / Evap. nfg ) Sat. vapor What will be the final condition (more or le vapor than initial tate) and final temperature of liquid? (A) More vapor, 212.4c C (B) More vapor, 150.4cC (C) Le vapor, 212.4c C (D) Le vapor, 150.4cC ng TD 2.14 A tainle teel pan of 25 cm internal diameter contain water. The water i boiled at 1atm preure on an electric range. It i oberved that the water level in the pan drop by 10 cm in 45 min. If the propertie of water at 1atm and at aturation temperature of 100c C are h fg = kj/ and n f = m / then the rate of heat tranfer to the pan will be (A).9 kw (B) 4.92kW (C) 1.96 kw (D) 2.95kW GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

13 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 15 TD 2 Propertie of Pure Subtance TD 15 TD 2.15 TD 2.16 Conider 2 of Refrigerant 22, undergoe a proce for which the preurevolume relation i pv 1.05 = contant. The initial tate of the refrigeration i fixed by p 1 = 2bar, T 1 =- 20cC for which pecific volume i n 1 = m / and the final preure i p 2 = 10 bar. What will be the work for the proce? (A) 6.7 kj (B) kj (C) kj (D) 7. 4kJ A 0.5 m veel contain 10 of refrigerant at - 20cC. Conidering the related data given in table, total internal energy and the volume occupied by the liquid phae, repectively, are Temperature ( c C) Preure (kpa) Specific volume ( m / ) Specific internal energy (kj/) nf ng uf ufg ug (A) 904 kj, 4.9 L (B) 678 kj, 61. L (C) 452 kj, 7. L (D) 847 kj, 75. L TD 2.17 Conider a 10 m diameter pherical helium balloon at ambient temperature of 15c C and preure of 100 kpa. It can lift a total ma that equal the ma of diplaced atmopheric air. How much ma of the balloon fabric and cage can then be lifted? Take the ga contant for the helium i (A) (B) (C) 87.5 (D) 6 TD 2.18 Conidering the table for water a given below. What will be the quality and the pecific internal energy, repectively of water at p = bar, n = 0.5 m /? Preure (kpa) Temperature ( c C) nf Specific volume ( m / ) nfg Specific Internal energy (kj/) ng uf ufg ug (A) %, 2192 kj/ (B) 82.5%, 1648 kj/ (C) 61.9%, 1648 kj/ (D) 61.9%, 2192 kj/ TD 2.19 Conider a rigid veel of 0. m, which initially contain aturated liquid vapor mixture of water at 150c C. The water i now heated until it reache the critical tate where pecific volume become n cr. = m /. At 150c C, the pecific volume of liquid i n f = m / and that for ga i n g = m /. What will be the ma of the liquid water and the volume occupied by the liquid at the initial tate? (A) 96.6, m (B) 96.6, m (C) 96. 1, m (D) 96. 1, m TD 2.20 Two tank filled with propane are connected to each other by a valve. A 1m rigid tank ha propane at 100 kpa, 00 and the other 0.5 m tank ha propane at 250 kpa, 400. The valve i opened and the two tank come to a uniform tate at 25. What will be the final preure? The ga contant for the propane For more GATE Reource, Mock Tet and Study material join the Group

14 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 16 TD 16 Propertie of Pure Subtance TD 2 i R = kj/ -. (A) 151 kpa (B) 129 kpa (C) 140 kpa (D) 172 kpa TD 2.21 TD 2.22 The preure in an automobile tire varie with the temperature of the air in the tire. The preure gage read 210 kpa, when the air temperature i 25c C. The volume of the tire i m and the atmopheric preure i 100 kpa. If the air temperature in the tire rie to 50c C, what will be the preure rie in the tire and the amount of air that mut be bled off to retore preure to it original value at thi temperature? (A) 6 kpa, (B) 646 kpa, (C) 10 kpa, (D) 26kPa, A cloed rigid tank contain aturated liquid water which i cooled to a final tate where the temperature i 50c C and the mae of aturated vapor and liquid preent are 00. and , repectively. The kinetic and potential energy effect are negligible. What will be the heat tranfer for the proce? Temperature ( c C) Preure (kpa) Specific volume ( m / ) nf Specific internal energy (kj/) ng uf ug (A) MJ (B) 215 MJ (C) 176 MJ (D) 1477 MJ TD 2.2 Two tank A and B are connected by a valve a hown in figure. Each tank ha a volume of 200 L. Tank A ha R - 12 at 25c C ( n f = m /, n g = m / ), 10 % liquid and 90 % vapor by volume, while tank B i evacuated. The valve i now opened and aturated vapor flow from A to B until the preure in B become equal to preure in A, at thi point the value i cloed. Thi proce occur lowly uch that all temperature tay at 25c C throughout the proce. How much ha the quality changed in tank A during the proce? (A) 27.18% (B) 20.6% (C) 47.54% (D) 6.82% TD 2.24 Conider a proce for which the preure-volume relation i pn n = cn o tant. The initial and final tate of the working fluid are p 1 = 200kPa, T 1 =- 10cC and p 2 = 1000 kpa, T 2 = 50cC, repectively. The kinetic and potential energy effect are negligible. If the pecific volume of initial and final tate are n 1 = m / and n 2 = m /, repectively, what will be the work for the proce? (A) 1.62 kj/ (B) kj/ GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

15 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 17 TD 2 Propertie of Pure Subtance TD 17 (C) kj/ (D) kj/ TD 2.25 Conider a piton-cylinder arrangement which contain water at 105c C, 85 % quality with a volume of 1L. Heating of ytem caue the piton to rie and encounter a linear pring with pring contant of 100 Nmm / a hown in figure. At thi point the volume i 1.5 L and piton diameter i 150 mm. The heating continue, o the piton compree the pring. What will be the cylinder temperature when the preure reache 200 kpa? Temperature ( c C) Preure (kpa) Saturated water nf Specific volume ( m / ) Superheated vapor water n ( m / ) (A) c C (B) 641cC (C) 20. 5c C (D) cC TD 2.26 A refrigerant undergoe a contant preure proce at 2.5 bar from T 1 = 0cC to aturated vapor. If at T 1 = 0cC, pecific volume i n 1 = m / and at aturated tate n2 = ng = m /, what will be the work for the proce in kj/ of refrigerant? (A) (B) 11.9 (C) 2.84 (D) 17.8 nfg ng TD 2.27 TD 2.28 A rigid veel of 0.2 m contain 0.1 of helium at 50 kpa. The veel i heated until the preure i 700 kpa. The ga contant of helium i R = kj/ -. A a reult of thi heating, the temperature change of helium will be (A) 505 (B) 7 (C) 168 (D) 674 In the figure hown, a cylinder ha a thick piton initially held by a pin. The cylinder contain carbon dioxide at 200 kpa and ambient temperature of 290. The pin i now removed, allowing the piton to move and after a while the ga return to ambient temperature. If the metal piton ha a denity of 8000 / m and the atmopheric preure i 101 kpa, what will be the final preure when the For more GATE Reource, Mock Tet and Study material join the Group

16 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 18 TD 18 Propertie of Pure Subtance TD 2 piton i at the top? (A) 1 kpa (B) 167 kpa (C) 105 kpa (D) 149 kpa TD 2.29 A 0.2 m cloed, rigid tank contain water at an initial preure of 5 bar and a quality of 50 %. Heat tranfer occur until the tank contain only aturated vapor. If the pecific volume of liquid i n f = m / and that for ga i n g = m /, the final ma of vapor in the tank will be (A) (B) (C) (D) 1. TD 2.0 TD 2.1 Carbon dioxide ga at MPa and 500 flow teadily in a pipe at a rate of 0.4 kmol/. If the temperature of CO 2 drop to 450 at the exit of the pipe, the denity of carbon dioxide at initial tate and the volume flow rate at the exit of the pipe, repectively, are (A) / m,0. 74 m / (B) / m, m / (C) / m, m / (D) 1.76 / m, m / Five kilogram of water, initially a aturated vapor at 100 kpa, are cooled to aturated liquid while the preure i maintained contant. The kinetic and potential energie are negligible. The thermodynamic propertie of aturated vapor are given in table. What will be the heat tranfer for the proce? Preure (kpa) Specific volume ( m / ) Specific internal energy (kj/) nf nfg ng uf ufg ug (A) 848. MJ (B) 11. MJ (C) 28. MJ (D) 565. MJ TD 2.2 A 1 well-inulated copper tank contain 4 of liquid water initially at 50cC. The initial temperature of the copper i 27c C. An electrical reitor of negligible ma, tranfer 100 kj of energy to the content of the tank. The potential and kinetic effect are negligible. At the equilibrium point of the tank and it content, GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

17 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 19 TD 2 Propertie of Pure Subtance TD 19 what will be the final temperature? (Data: c c = 0.85 kj/ - and c w = kj/ - ) (A) 161.2c C (B) 49. cc (C) c C (D) 22. cc TD 2. Conider a dieel engine with cylinder condition of 950 and 75 cm before combution and 150 cm after it. If the engine operate with an air-fuel ratio of 22 air/ fuel, what will be the temperature after the combution proce? (A) 1817 (B) 454 (C) 16 (D) 950 TD 2.4 TD 2.5 TD 2.6 Conider two rigid tank of ame volume of 0.5 m. One tank contain hydrogen at 20c C, 600 kpa and i connected to another tank that hold hydrogen at 0cC, 150 kpa by a valve. Now the valve i opened and the ytem i allowed to reach thermal equilibrium with the urrounding, which are at 15c C. What will be the final preure in the tank? The ga contant for H 2 i kj/ -. (A) kpa (B) kpa (C) 65.8 kpa (D) kpa A tank contain air at 1MPa and room temperature of 20c C. It i ued to fill an initially empty balloon to a preure of 200 kpa, at thi point the radiu i 2m. Aume the preure in the balloon i linearly proportional to it radiu and the ytem i in iothermal equilibrium throughout the proce. The ma of air in the balloon and the minimum required volume of the tank repectively, are (A) 8.4 m (B) 21. m (C) 42. m (D) 6. m Conider a rigid, well-inulated container hown in figure. One kilogram of air, initially at 5bar, 50 and of carbon dioxide ^CO 2 h, initially at 2bar, 450, are confined to oppoite ide of thi container. The partition i free to move and allow conduction from one ga to the other without energy torage in the partition itelf. Auming the air and carbon dioxide a ideal gae and contant pecific heat a c v, air = kj/ -, c v,co2 = kj/ - and molar mae a Mair = / kmol, MCO2 = / kmol, what will be the final equilibrium temperature and the final preure, repectively? (A) 425.6, bar (B) , bar (C) , bar (D) 425.6, bar TD 2.7 What will be the preure of water at 200c C and pecific volume of 1.5 m /?. Saturated Water For more GATE Reource, Mock Tet and Study material join the Group

18 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 20 TD 20 Propertie of Pure Subtance TD 2 Temperature cc Preure kpa nf Specific Volume ( m / nfg ) Superheated Vapour Water (A) kpa (B) kpa (C) kpa (D) kpa ng TD 2.8 Conider a cloed rigid tank fitted with an electric reitor. The tank contain 2 of a ga with molecular weight 28. The reitor draw a contant current of 10 amp at a voltage of 12 V for 10 min. At the equilibrium, the temperature of the ga i increaed by 40.c C. Heat tranfer to the urrounding i etimated to occur at a contant rate of 20 W and the kinetic and potential energy effect are negligible. If the ga behave a ideal ga, an average value of the pecific heat c p, of the ga, will be (A) kj/ - (B) kj/ - (C) kj/ - (D) kj/ - TD 2.9 Air i compreed adiabatically form p 1 = 1bar, T 1 = 00 to p 2 = 15 bar, n 2 = m /. After thi air i cooled at contant volume to T = 00 and at thi temperature the pecific heat remain contant at cv = kj/ -. Neglect the kinetic and potential energy effect. Auming ideal ga behavior, the work for the firt proce and the heat tranfer for the econd proce, repectively, are (A) 245 kj/, 676 kj/ (B) Both are 676 kj/ (C) Both are 245 kj/ (D) 676 kj/, 245 kj/ TD of water initially at 80c C and a quality of 06. i contained in a cloed rigid tank. Heat tranfer occur until the tank contain only aturated vapor. If the kinetic and potential energy effect are negligible, the amount the energy tranfer by heat i Temperature ( c C) Preure (kpa) Specific volume ( m / ) nf Specific internal energy (kj/) ng uf ug (A) 876. kj (B) kj (C) kj (D) kj TD 2.41 A rigid tank and a piton-cylinder aembly oriented vertically are connected together by a valve. The tank initially contain of air at 500 kpa, 290 and the piton-cylinder aembly contain 0.05 m of air initially at 200 kpa, 290. Although the valve i cloed, a low leak allow air to flow into the cylinder until the tank preure fall to 200 kpa. A contant preure of 200 kpa and contant GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

19 TD ENERGY ANALYSIS OF CLOSED SYSTEM TD.1 TD.2 TD. Conider the following two general expreion: 1. 2u 2v 2v d n =-Td n -pd n 2p T 2 T p 2p T 2. 2h 2p 2T e 2v o = vd n + Td n 2v 2 p T T Which of the above expreion i/are true? (A) Only 1 (B) Only 2 (C) Both 1 and 2 (D) None of thee v Conider a heat engine that receive 5kW at 800 and 10 kw at 1000 and rejecting energy by heat tranfer at 600. Auming reverible proce, what will be the power output? (A) 15 kw (B) 5.25 kw (C) 97. 5kW (D) 47. 5kW Air undergoe a change of tate from 100 kpa and 20c C to 600 kpa and 00c C uing the equation of tate p^v- ah = RT. If a = 0.10 m /, what will be the change in the internal energy of air? Take cv = 0.71 kj/ -. (A) kj/ (B) 205 kj/ (C) kj/ (D) kj/ TD.4 A refrigerant enter in a compreor at 100 kpa, - 20cC and exit at 1MPa, 40cC. Referring the following table propertie with the room at 20c C, the minimum compreor work will be Preure (kpa) Temperature ( c C) h (kj/) (kj/-) (A) kj/ (B) 6. 2 kj/ (C) kj/ (D) kj/ TD.5 TD.6 Air undergoe a change of tate from 100 kpa and 20c C to 600 kpa and 00c C uing the equation of tate p^v- ah = RTwhere a = 0.10 m / What will be the change in the entropy of air? Take cp = kj/ - and R = kj/ -. (A) kj/ - (B) 0. 8 kj/ - (C) kj/ - (D) kj/ - For the equation of tate of a ga v = RT - a +b p T where a and b are contant, what will be the equation for the Joule-Thomon coefficient inverion line?

20 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 22 TD 22 Energy Analyi of Cloed Sytem TD (A) T = 2 a b (B) T = a 2b (C) T = 2a (D) T = b b 2a TD.7 Common Data For Q. 7 and 8 A rock bed ( c = 0.89 kj/ -) conit of 6000 granite at 70c C. A mall houe with lumped ma of wood ( c = 1.26 kj/ -) and 1000 iron ( c = 046. kj/ -) i at 15c C. They are now brought to a uniform final temperature with no external heat tranfer by connecting the houe and rock bed through ome heat engine. Aume that the proce i reverible. The final temperature will be (A) (B) (C) 01. (D) 226 TD.8 What will be the work done in the proce? (A) 9824 kj (B) kj (C) 1476 kj (D) 4912 kj TD.9 TD.10 TD.11 Steam initially at 4.5 MPa, 00c C i throttled to the final tate of 2.5 MPa, 274c C. The average Joule-Thomon coefficient will be (A) 1625c. CMPa / (B) 975cC. / MPa (C) 19. 5c CMPa / (D) 1 cc/ MPa - At 20c C, the volume expanivity of water i b = # If thi value remain contant, the change in volume of 1m of water a it i heated from 10c C to 0c C at contant preure, will be (A) 4.14 cm (B) 52. cm (C).1 cm (D) 621. cm Conider a contant preure piton-cylinder arrangement which contain 2 of water at 5MPa and 100c C. Now heat i added from a reervoir at 700c C to the water until it reache 700c C. Refer the given table. What will be the total irreveribility in the proce? (A) (C) Temperature ( c C) Enthalpy (h ) kj/ Entropy () kj/ kj (B) kj kj (D) 1571 kj TD.12 Conider a ubtance whoe Joule-Thomon coefficient i negative, i throttled to a lower preure. During thi proce (A) The entropy of the ubtance will remain contant. (B) The temperature of the ubtance will decreae. (C) The temperature of the ubtance will increae. (D) The enthalpy of the ubtance will decreae. GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

21 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 2 TD Energy Analyi of Cloed Sytem TD 2 TD.1 TD.14 A rigid tank i connected by a value to a piton-cylinder device with zero clearance. The tank contain 0.4 m of air at 400 kpa and 0c C. A preure of 200 kpa i required to raie the piton. Now the valve i opened lightly and air i allowed to flow into the cylinder until the preure in the tank drop to 200 kpa. If heat i exchanged with the urrounding uch that the entire air remain at 0c C all time, the heat tranfer of thi proce will be (A) 100kJ (B) 60kJ (C) 120kJ (D) 80 kj A hopital require upply of team at 100 kpa, 150c C and at a rate of 15 /. To fulfill thi requirement, a upply of team at 150 kpa, 250c C from a boiler i mixed with a tap water at 100 kpa, 15c C in a mixing chamber. Uing the data given in table, the rate of irreveribility of the mixing proce will be Temperature ( c C) Preure (kpa) Enthalpy (kj/) Entropy (kj/-) (A) 1268 kw (B) 64 kw (C) 17 kw (D) 951 kw TD.15 A vertical piton-cylinder device of 12 cm diameter, contain an ideal ga at the ambient condition of 1bar and 24c C. Initially, the inner face of the piton i 20 cm from the bae of the cylinder. Now an external haft connected to the piton exert a force correponding to a boundary work input of 0.1 kj. If the proce remain iothermal during the proce, the final preure in the cylinder and the ditance that the piton i diplaced, repectively, are (A) 2. 4 kpa, 887. cm (B) 272. kpa, 55. cm (C) kpa, 7.1 cm (D) kpa, cm TD.16 Carbon dioxide i compreed from 0. m to 0.1 m. During the proce, the preure and volume are related by p = av 2 6, where a = 8kPam -. What will be the work done on the carbon dioxide during thi proce? (A) kj (B) 9. 9 kj (C) 5. kj (D) kj Common Data For Q. 17 and 18 Air enter the turbocharger compreor of an automotive engine at 100 kpa, 0c C and exit at 170 kpa. Now the air i cooled by 50c C in an intercooler before entering the engine. The ientropic efficiency of the compreor i 75 %. TD.17 What will be the temperature of the air entering the engine? (A) 96.1c C (B) 69.1cC (C) 46.1c C (D) 19.1cC TD.18 The irreveribility of the compreion-cooling proce i (A) 19.9 kj/ (B) kJ/ (C) 14.9 kj/ (D) kj/ For more GATE Reource, Mock Tet and Study material join the Group

22 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 24 TD 24 Energy Analyi of Cloed Sytem TD TD.19 Common Data For Q. 19 and 20 Conider a piton-cylinder device which contain an ideal ga. The ga undergoe two ucceive cooling procee by rejecting heat to the urrounding. Firt the ga i cooled at contant preure until T2 = 4 T1. Then the piton i held tationary 1 while the ga i further cooled to T = T, where all temperature are in. 2 The ratio of the final volume to the initial volume of the ga and the work done on the ga by the piton repectively, are (A) 0.25, ct p 1 / 2 (B) 0.50, ct v 1/ 2 (C) 0.67, ^cv+ cph T1 / 4 (D) 0.75, RT1 / 4 1 TD.20 What i the total heat tranferred from the ga? (A) RT1 / 4 (B) ct v 1/ 2 (C) ct p 1 / 2 (D) ^cv+ cpht1 / 4 TD.21 Common Data For Q. 21 and 22 A 200 L capacity rigid container i divided into two equal volume by a partition. Both partition are filled with nitrogen. One ide i at 2MPa, 00c C and the other at 1MPa, 50c C. Suddenly the partition break and the nitrogen come to a uniform tate at 100c C. Aume the urrounding are at 25c C. The ga contant for the nitrogen i R = kj/ - and the pecific heat at the contant volume and preure are cv = kj/ - and cp = kj/ -, repectively. The actual heat tranfer in the proce will be (A) kj (B) 16.4 kj (C) kj (D) kj TD.22 What will be the irreveribility in the proce? (A) 116 kj (B) 58 kj (C) 10.5kJ (D) kj TD.2 Conider the p- v curve hown in figure. For the ytem coniting of 2 of nitrogen, the total work for proce 1- will be (A) (C) 150 kj (B) 00 kj 225 kj (D) 75 kj TD.24 A pring-loaded piton-cylinder device occupie 0.5 water that i initially at 1MPa and 10 percent quality. At thi tate the pecific volume of liquid and vapor are n f = / m and n g = / m, repectively. Thi device GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

23 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 25 TD Energy Analyi of Cloed Sytem TD 25 i now cooled until the water i aturated liquid at 100c C where p = kpa and n f = m /. What will be the total work produced during thi proce? (A) 401. kj (B) 5.4 kj (C) 667. kj (D) 801. kj TD.25 Conider a well-inulated rigid tank. It contain 5 of a aturated liquid-vapor mixture of water at 100 kpa. Initially, three-quarter of the ma i in the liquid phae. An electric reitor placed in the tank i connected to a 110 V ource and a current of 8A flow through the reitor when the witch i turned on. What will be the time that it will take to vaporize all the liquid in the tank? Preure (kpa) Specific Volume ( m / ) Internal energy (kj/) nf ng uf ug (A) 15.1 minute (B) 115 minute (C) minute (D) 191 minute TD.26 For a ga with an equation of tate a p] v- bg = RT, match Lit-I (propertie of an iothermal proce) with Lit-II (correponding change ). Chooe the bet et of the change in an iothermal proce for uh, and. Lit-I Lit-II a. u2- u1 1. bp ( 2- p1) b. h2- h1 2. Rln( v -b)/( v -b) c Zero Code: a b c (A) 1 2 (B) 2 1 (C) 1 2 (D) TD.27 Conider the flow of nitrogen in a pipe with velocity 00 m/ at 500 kpa, 00c C. What will be it availability with repect to an ambient at 100 kpa, 20c C? Take cp = kj/ - and R = kj/ -. (A) 544 kj/ (B) 476 kj/ (C) 272 kj/ (D) 408 kj/ TD.28 A ma of 10 gm of nitrogen i contained in the pring loaded piton-cylinder device a hown in figure. When the pring exert no force againt the piton, the nitrogen i at 120 kpa and 27c C. The device i now heated until it volume i 10 percent greater than the original volume. If the pring contant i 1 kn/ m, what will be the change in the pecific internal energy and enthalpy of the nitrogen? Take R = kpam / -, cv = 0.74 kj/ - and cp = kj/ -. For more GATE Reource, Mock Tet and Study material join the Group

24 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 26 TD 26 Energy Analyi of Cloed Sytem TD (A) kj/, 46.8 kj/ (B) 46.8 kj/, kj/ (C) 9. 6 kj/, kj/ (D) 46.8 kj/, kj/ TD.29 A cloed ytem containing of air undergoe an iothermal proce from 600 kpa and 200c C to 80 kpa. What will be the initial volume of thi ytem and the heat tranfer during thi proce, repectively? (Take R = kj/ -) (A) m, 547 kj (B) m, kj (C) m, kJ (D) m, kj TD.0 Conider a polytropic expanion proce for which pv = contant. Helium ga expand in thi proce from initial preure p 1 to final preure p 2 where p1> p2. The work will (A) be poitive (B) be negative (C) be zero (D) not be determined TD.1 TD.2 TD. TD.4 Argon i compreed in a polytropic proce from 120 kpa and 0c C to 1200 kpa in a piton-cylinder device. If the equation of tate i pv 1.2, what will be the work produced and heat tranferred during thi compreion proce, repectively? Take R = kj/ - and cv = kj/ -. (A) kj/, kj/ (B) 10. kj/, 129. kj/ (C) 10. kj/, kj/ (D) kj/, 10. kj/ Conider a piton-cylinder device. A ma of 15 of air i heated from 25c C ( h1 = kj/ ) to 77c C ( h2 = kj/ ) by paing current through a reitance heater inide the cylinder. The preure inide the cylinder i held contant at 00 kpa during the proce. If a heat lo of 60 kj occur in thi proce, the electric energy upplied will be (A) kwh (B) kwh (C) 0.25 kwh (D) kwh A piton cylinder contain of air at 20c C and 00 kpa. If it i heated up in a contant preure proce to 600, the work in the proce will be (A) 767 kj (B) kj (C) kj (D) kj Conider a piton-cylinder device, with a et of top on the top. It i initially contain of air at 200 kpa and 27c C. Heat i now tranferred to the air and GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

25 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 27 TD Energy Analyi of Cloed Sytem TD 27 the piton rie until it hit the top, at which point the volume i twice the initial volume. More heat i tranferred until the preure inide the cylinder alo double and the temperature reache to 927c C. If the initial and final internal energie are kj/ and 9. kj/ repectively, what will be the amount of heat tranfer for thi proce? (A) 2416 kj (B) 258 kj (C) 2158 kj (D) 1208 kj TD.5 TD.6 TD.7 TD.8 What will be the expreion for the work produced by an ideal ga a it undergoe a polytropic proce in a cloed ytem from initial tate 1 to final tate 2? (A) RT p n / n 1 2 ^ -1h n ; b p l E (B) RT p n / n 1 2 ^ -1h n ; b p l E (C) 1 RT p n / n 1 2 ^ -1h n ; b p l E (D) 1 1 RT p n / n 1 2 ^ -1h n ; b p l E Water at 500c C, MPa with pecific volume n = / m i cooled in a polytropic proce to 200c C, 1MPa with pecific volume n = / m. What will be the pecific work in thi proce? (A) kj/ (B) kj/ (C) kj/ (D) kj/ Conider a piton-cylinder device which initially contain helium ga at 150 kpa, 20c C and 0.5 m. If the helium i compreed in a polytropic proce `pv n = contantj to 400 kpa and 140c C, the heat lo during thi proce will be (Take R = kj/ -, cv =.1156 kj/ -) (A) 57.2 kj (B) kj (C) 28.6 kj (D) 11.2 kj 12 of an ideal ga with molar ma of 25, i contained in a frictionle pitoncylinder device and a rigid tank. Each i at the ame temperature, preure and volume. It i deired to raie the temperature of both ytem by 15c C. If the cylinder i maintained at contant preure to achieve thi reult, what will be the amount of extra heat that mut be upplied to the ga in the cylinder? (A) 59.9 kj (B) 45 kj (C) 14.9 kj (D) kj 1 *********** For more GATE Reource, Mock Tet and Study material join the Group

26 TD 4 MASS AND ENERGY ANALYSIS OF CONTROL VOLUME TD 4.1 A aeroplane takeoff from an aircraft carrier. It i aited by a team driven piton-cylinder device with an average preure of 1250 kpa. The airplane hould be accelerated from zero to a peed of 0 m/ with 0 % of the energy coming from the team piton. What will be the required piton diplacement volume? (A) 0. m (B) 26. m (C) 1.89 m (D) 285. m TD 4.2 In a one-inlet, one-exit control volume, air enter at 8bar, 600 and 40 m/ through a flow area of 20 cm 2. Thi air exit at 2bar, 400 and 50 m/. If the air behave a an ideal ga and for teady tate operation, the ma flow rate and the exit flow area repectively, are 2 (A) /, 458. cm (B) 0.72 /, 6.1 cm 2 (C) /, 76. cm 2 (D) /, 05. cm TD 4. A 0.5 m rigid inulated tank contain compreed air initially at 4000 kpa and 20c C. Enough air i now releaed from the tank to reduce the preure to 2000 kpa. Due to thi releae, what will be the temperature of the remaining air in the tank? (Take c p = kj/, c v = kj/, R = kj/ -) (A) 2 (B) 241 (C) 29 (D) 05 2 TD 4.4 A 0.2 m rigid tank equipped with a preure regulator contain team at 2MPa and 00c C. The team in the tank i now heated. The regulator keep the team preure contant by letting out ome team, but the temperature inide rie. Ue the data given in the table. The amount of heat tranferred, when the team temperature reache 500c C, will be Temperature ( c C) Preure (MPa) Specific volume m / Internal energy kj/ Enthalpy kj/ (A) kj (B) 0. 4 kj (C) kj (D) kj TD 4.5 In a teady tate proce, a tream of liquid water at 20c C, 1bar ( M = ) i mixed with a tream of ethylene glycol ] M = g. It form a refrigerant mixture that i 50 % glycol by ma. The denity of ethylene glycol i time that of water and the velocity in each pipe i 2.5 m/. If the water molar flow rate i 4.2 kmol / min, what will be the molar flow rate of the entering ethylene glycol and the diameter of glycol upply pipe, repectively?

27 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 29 TD 4 Ma and Energy Analyi of Control Volume TD 29 (A) 1.22 kmol / min, 2.4 cm (B) 18. kmol/min, 18. cm (C) kmol/ min, 12. cm (D) 215. kmol/min, cm TD 4.6 In a contant preure proce, 2 of water at 200 kpa with a quality of 25 % ha it temperature raied 20c C. Conider the table hown below, what will be the heat tranfer in the proce? State Specific Volume (kj/) Internal Energy (kj/) Saturated water at 200 kpa, 120.2cC nf ng uf ug Specific volume (kj/) Internal energy (kj/) Superheated vapour at kpa, 150cC (A) 86.5 kj (B) kj (C) kj (D) kj TD 4.7 A large reervoir that upplied helium ga at 150 kpa and 25c C i connected to a balloon by a valve a hown in figure. The balloon initially contain 65 m of helium ga at atmopheric condition of 100 kpa, 22c C. Now the valve i opened and helium i allowed to enter the balloon until preure equilibrium with the helium at the upply line i reached. If the volume of the balloon increae linearly with preure and no heat tranfer take place during thi proce, what will be the final temperature in the balloon? (Take R = kj/ -, c p = kj/ -, c v =.1156 kj/ -) (A) (C) 295 (B) (D) 276 TD 4.8 TD 4.9 Air at teady tate enter in a control volume operating at 1.05 bar, 00 with a volumetric flow rate of 12 m / min and exit at 12 bar, 400. The enthalpie at the inlet and exit are kj/ and kj/ repectively. The kinetic and potential energy effect are negligible. If heat tranfer occur at a rate of 20 kw from the control volume to the urrounding, what will be the power, in kw? (A).5 (B) 66.9 (C) (D) 44.6 Two tank of 1m each, are connected by a valve and line. The tank A i filled For more GATE Reource, Mock Tet and Study material join the Group

28 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 0 TD 0 Ma and Energy Analyi of Control Volume TD 4 with refrigerant at 20c C with quality of 15 % and tank B i evacuated. The valve i opened and aturated vapor flow from A into B until the preure become equal. The proce occur lowly enough that all temperature tay at 20c C during the proce. Uing the data given in table, the total heat tranfer to the refrigerant during the proce, will be Temperature ( c C) (A) (C) Preure (kpa) Specific volume ( m / ) nf Internal energy (kj/) ng uf ug kj (B) 5812 kj 487 kj (D) 4650 kj TD 4.10 Common Data For Q. 10 and 11 Air flow teadily in a pipe at 00 kpa, 77c C and 25 m/ with a ma flow rate of 18 / min. For the air, the ga contant and pecific heat at contant preure are R = kj/ -, cp = kj/ -, repectively. The diameter of the pipe and the rate of flow energy, repectively are (A) 7.15 cm, 0 kw (B) 71.5cm, 45 kw (C) cm, 15 kw (D) cm, 60kW TD 4.11 What will be the rate of energy tranport by ma? (A) 5 kw (B) kw (C) 106 kw (D) kw TD 4.12 Conider an engine which conit of a 100 cat iron block with a 20 aluminum head, 20 teel part, 5 engine oil and 6 glycerine (antifreeze). Everything begin at 5c C. A the engine tart, if it aborb a net of 7000 kj before it reache a teady uniform temperature then how hot it become? Take cfe = 0.42, c Al = 0.9, cgly = 2.42, ct = 0.46 and c o = 1.9 all unit of kj/ -. (A) 40C c (B) 60C c (C) 80c C (D) 5cC TD 4.1 At the teady tate, team enter in a nozzle at a rate of 100 m/ and at 0 bar, 20c C with h = 04.4 kj/. The exit preure and temperature are 10 bar and 200c C, repectively with h = kj/. The ma flow rate i 2 /. Neglect heat tranfer and potential energy. If the pecific volume at inlet and exit are m / and m /, repectively, what will be the exit velocity and the exit flow area? 2 2 (A) 498 m/, 1. cm (B) 80 m/, 465. cm (C) 664 m/, 6.2 cm 2 (D) 996 m/, 775. cm 2 TD 4.14 The figure how a 5m long and cm diameter thin horizontal copper tube. Steam at 40c C condene on the outide of thi tube by cooling water that enter the tube at 25c C at an average velocity of 2 m/ and leave at 5c C. At 40c C, the enthalpy of liquid and vapor mixture i h fg = kj/ -. What will be the rate of condenation of team? Take cp = 4.18 kj/ - cc. GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

29 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 1 TD 4 Ma and Energy Analyi of Control Volume TD 1 (A) 24.5 / (B) 2.45 / (C) / (D) / TD 4.15 Conider a piton-cylinder arrangement hown in figure. It ha a cylinder of 0.1 m 2 cro-ectional area, 10 m height and a male piton at the bottom with water at 20c C on top of it. The pecific volume of the water at 20c C i n f = m /. 0. m of air at 00 ( cv = kj/ -), i occupied under the piton. Thi air i heated o that the piton move up and pilling the water out over the ide. What will be the total heat tranfer to the air when all the water ha been puhed out? (A) (C) kj (B) kj 276 kj (D) 1. 2 kj Common Data For Q. 17 and 18 In a well-inulated turbine operating at teady tate, team enter at MPa, 400c C with a volumetric flow rate of 85 m / min. Some team i extracted from the turbine at a preure of 0.5 MPa and a temperature of 180c C. The ret expand to a preure of 6kPa and a quality of 90 %. The kinetic and potential energy effect can be neglected and the total power developed by the turbine i kw. State Superheated water vapor at MPa, 400cC Superheated water vapor at 0.5 MPa, 180cC Saturated water at 6 kpa Specific volume ( m / ) nf Enthalpy (kj/) ng hf hg TD 4.16 What will be the ma flow rate of the team at each of the two exit, repectively? (A) /,.08 / (B).08 /, / For more GATE Reource, Mock Tet and Study material join the Group

30 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 2 TD 2 Ma and Energy Analyi of Control Volume TD 4 (C) /,.08 / (D).08 /, / TD 4.17 TD 4.18 TD 4.19 TD 4.20 TD 4.21 What will be the diameter of the duct through which team i extracted, when the velocity there i 20 m/? (A) 28.2 cm (B) 2.82 cm (C) cm (D) cm A 0.75 m diameter fan take air in at 98 kpa, 22c C and deliver it at 105 kpa, 2c C with a velocity of 1.5 m/. If the ga contant for air i R = kj/ -, the ma flow rate and the inlet velocity repectively, are (A) 0.41 /, 1. 2 m/ (B) 164. /, 24m. / (C) 12. /, 2 m/ (D) /, 1.6 m/ Nitrogen ga enter an adiabatic diffuer at 60 kpa and 7c C( h = 8141 kj/ kmol ) teadily with a velocity of 200 m/ and leave at 85 kpa and 22c C ( h = 8580 kj/ kmol). If the molar ma of nitrogen i M = 28 / kmol, the ratio of the inlet to exit area A1/ A2 will be (A) 0.15 (B) (C) (D) Argon ga enter an adiabatic turbine operating at teady tate with a velocity of 80 m/ at 900 kpa and 450c C. It leave at 150 kpa with a velocity of 150 m/. The power output of the turbine i 250 kw. If the inlet area of the turbine i 60 cm 2, what will be the exit temperature of the argon? (Take R = kj/ -, c p = kj/ - cc) (A) 1. 6c C (B) 4. 2cC (C) c C (D) 267.cC In a compreor operate at teady tate, the working fluid enter with a volumetric flow rate of 0.8 m / min at 5bar, 10c C wherea at the exit, the preure i 14 bar and the temperature i 90 c C. The diameter of the inlet and exit pipe are 4cm and 2 cm, repectively. The thermodynamic propertie of the fluid i given in table. If the magnitude of the heat tranfer rate from the compreor to it urrounding i 5 % of the compreor power input, what will be the power input, in kw? Preure (MPa) Temperature ( c C) Specific volume ( m / ) Enthalpy (kj/) (A) (B) 7.04 (C) 17.6 (D) Common Data For Q. 24 and 25 The air expand adiabatically in a ga turbine from 1000 kpa and 500c C to 100 kpa and 150c C. Air enter the turbine through a 0.2 m 2 opening with a average velocity of 40 m/ and exhaut through 1m 2 opening. Takec p = kj/ - and R = kj/ -. GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

31 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page TD 4 Ma and Energy Analyi of Control Volume TD TD 4.22 The ma flow rate of air through the turbine will be (A) / (B) 6.06 / (C) / (D) 18.0 / TD 4.2 What will be the power produced by the turbine? (A) 15 kw (B) 660 kw (C) 1260 kw (D) 9945 kw TD 4.24 The air in a jet engine at 1000, 200 kpa and 40 m/ enter in nozzle and the air exit at 500 m/, 90 kpa. What will be the exit temperature when there i no heat lo? Temperature ( c C) Enthalpy (kj/) Temperature ( c C) Enthalpy (kj/) (A) 850 (B) 890 (C) 900 (D) 90 5 TD 4.25 Conider a feedwater heater which operate at teady tate. The liquid water entering at inlet 1 at 7bar, 42c C with a ma flow rate of 70 /. Another tream of water a a two-phae liquid-vapour mixture, enter at inlet 2 at 7bar with a quality of 98%. Finally aturated liquid at 7bar exit the feedwater heater at. Ignore heat tranfer with the urrounding. If the kinetic and potential energy effect are negligible and referring to the data given in table, the ma flow rate at inlet 2 will be Temperature ( c C) Preure (kpa) Specific Volume ( m / ) nf Enthalpy (kj/) ng hf hg (A) 18.0 / (B) 88 / (C) 9 / (D) 22 / TD 4.26 A two tage adiabatic team turbine i hown in figure. The team at a rate of 20 / enter the turbine at 12.5 MPa and 550c C ( h = kj/ ). Steam i bled from thi turbine with a ma flow rate of 1 / at 1000 kpa and 200c C ( h = kj/ ). The remaining team leave the turbine at 100 kpa and 100c C ( h = kj/ ). The power produced by thi turbine i For more GATE Reource, Mock Tet and Study material join the Group

32 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 4 TD 4 Ma and Energy Analyi of Control Volume TD 4 (A) kw (B) kw (C) kw (D) kw TD 4.27 Air entering in a diffuer at 100 kpa, 00, with a velocity of 200 m/. The inlet and exit cro-ectional area of the diffuer are 100 mm 2 and 860 mm 2, repectively. If the exit velocity i 20 m/, the exit preure and temperature of the air will be (A) 12.9 kpa (B) 9 kpa (C) 62 kpa (D) 186 kpa TD 4.28 In a jet engine, the front of engine act a a diffuer and receive air at 900 km/ h, - 5 cc, 50 kpa. It bring it to 80 m/ relative to the engine before entering the compreor. If the flow area i reduced to 80 % of the inlet area, what will be the temperature and preure in the compreor inlet? (A) 2. 6 kpa (B) kpa (C) kpa (D) kpa TD 4.29 In the figure, at teady tate, water enter the tube with velocity of 0.4 m/ at 20c C. At thi tage the pecific volume and enthalpy of liquid are n f = m / and hf = 8.96 kj/, repectively. The water exit at 24c C, hf = kj/ with a negligible change in preure. The electrical component receive 0.5 kw of electrical power and the rate of energy tranfer by convection from the platemounted electronic i etimated to be 0.08 kw. If the kinetic and potential energy effect are negligible, the tube diameter will be GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

33 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 5 TD 4 Ma and Energy Analyi of Control Volume TD 5 (A) 89 mm (B) 8.9 mm (C) 0.89 mm (D) 890 mm TD 4.0 Conider a well inulated mixing chamber hown in figure. A hot-water tream at 80c C enter thi chamber teadily with a ma flow rate of 0.5 / where it i mixed with a tream of cold water at 20c C. Aume all the tream are at a preure of 250 kpa and the temperature at thi preure, i c C. If the mixture leave the chamber at 42c C, the ma flow rate of the cold-water tream will be (A) / (B) 8.64 / (C) / (D) 562. / TD 4.1 A liquid i throttled in a line flowing at 25c C, 750 kpa to a preure of 165 kpa. The kinetic energy i negligible. Conidering the table, the ratio of exit pipe diameter to that of the inlet pipe o the velocity tay contant, repectively are Temperature ( c C) Preure (kpa) Specific volume ( m / ) nf Enthalpy (kj/) ng hf hg (A) (B) 8. 2 (C) 619. (D) TD 4.2 In the given figure, team enter the condener of a team power plant with a ma flow rate of / h at 20 kpa and a quality of 95 percent. It i to be cooled by water from a nearby river by circulating the water through the tube within the condener. The river water i not allowed to experience a temperature rie above 10c C to prevent thermal pollution. The team i to leave the condener a aturated liquid at 20 kpa. If the enthalpy of liquid and vapor at 20 kpa are hf = kj/ and hg = kj/ repectively, what will be the required ma flow rate of the cooling water? Take cp = 4.18 kj/ - cc. For more GATE Reource, Mock Tet and Study material join the Group

34 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 6 TD 6 Ma and Energy Analyi of Control Volume TD 4 (A) 22. / (B) / (C) / (D) / TD 4. Conider a wind mill with rotor diameter of 0 m. It take 40 % of the kinetic energy out a haft work on a day with 20c C and wind peed of 0 km/ h. The produced power i (A) kw (B) 98.6 kw (C) kw (D) kw TD 4.4 TD 4.5 A pherical balloon of m initial diameter, i filled with air at 120 kpa and 5cC. Air enter thi balloon at 120 kpa and 5c C with a velocity of 2 m/ through a 1m diameter opening. If the preure and temperature of the air in the balloon remain the ame a the air entering the balloon, how many minute will it take to inflate thi balloon to a 15 m diameter? (A) 9. minute (B) minute (C) 1. 9 minute (D) 2. minute In the figure, a team turbine receive water at 15MPa, 600c C with a rate of 100 / and enthalpy of 582. kj/. The water i withdrawn in the middle ection at 2MPa, 50c C with a rate of 20 / and enthalpy 17 kj/. The ret exit the turbine at 75 kpa and 95 % quality where the enthalpie of fluid and vapor are hf = 84. kj/ and hg = kj/, repectively. Auming no heat tranfer and no change in kinetic energy, what will be the total turbine power output? (A) (C) MW (B) 91.2 MW MW (D) MW TD 4.6 Two tream of water are mixed teadily in an inulated container to form a third GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

35 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 7 TD 4 Ma and Energy Analyi of Control Volume TD 7 tream leaving the container. The temperature of firt tream i 90c C and that of econd i 50c C. The flow rate of firt and econd tream are 0 / and 200 / repectively. Uing the data given in table, what will be the temperature of the third tream? Temperature ] ccg Entahlpy (kj/) h f h fg h g (A) 82. 9c C (B) 41. 5cC (C) 55.c C (D) 69. 2cC TD 4.7 A chilled water heat exchange unit hown in figure, i deigned to cool 5 m / of air at 100 kpa, 0c C to 100 kpa, 18c C by uing water at 8c C. If the ma flow rate of the water i 2 /, the maximum water outlet temperature will be (Take R = kj/ -, = kj/ - cc and c pw, = 4.18 kj/ - cc) c pa, (A) 16.c C (B) 20. 4cC (C) 122c. C (D) 24. 5cC Common Data For Q. 41 and 42 A large expanion engine ha two low velocity entrance for water. High preure team at 2MPa, 500c C enter through point 1 with a rate of 2.0 / and cooling water at 120 kpa, 0c C enter through point 2 with a rate of 0.5 /. A ingle flow exit with 150 kpa, 80 % quality, through 0.15 m diameter exhaut pipe. There i a heat lo of 00 kw. State Superheated Vapour water at 2MPa, 500cC Specific Volume ( m / ) nf Enthalpy (kj/) ng hf hg Saturated water at 0cC Water vapour mixture at 150 kpa TD 4.8 What will be the exhaut velocity? (A) 11.2 m/ (B) m/ (C) m/ (D) 164 m/ TD 4.9 The power output of the engine i (A) 528 kw (B) 1056 kw (C) 792 kw (D) 1584 kw For more GATE Reource, Mock Tet and Study material join the Group

36 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 8 TD 8 Ma and Energy Analyi of Control Volume TD 4 TD 4.40 Two air tream are combined to a ingle flow a hown in figure. The volume flow rate of one i 1 m / at 20c C and the other i 2 m / at 200c C both at 100 kpa. They mix without any heat tranfer to produce an exit flow at 100 kpa. If the kinetic energy i neglected, what will be the exit temperature and the volume flow rate. (A).0 m / (C) 15m. / (B) 45m. / (D) 2.0 m / *********** GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

37 TD 5 SECOND LAW OF THERMODYNAMICS TD 5.1 Conider a refrigerator with a COP of 12.. It remove heat from the refrigerated pace at a rate of 60 kj / min. What will be the electric power conumed by the refrigerator and the rate of heat tranfer to the kitchen air? (A) 104. kw, 60 kj/min (B) 0.8 kw, 110 kj/ min TD 5.2 TD 5. (C) 125. kw, 50 kj/min (D) 145. kw, 9. 5 kj/min On a ummer day, the temperature of a well ealed houe i at 2c C. When the air conditioner turn on, the entire houe cool to 20c C in 15 min. Aume the entire ma within the houe i equivalent to 800 of air for which c v = 0.72 kj/ - cc and c p = 1.0 kj/ - cc. If the COP of the air-conditioning ytem i 25., what will be the power drawn by the air conditioner? (A) 768. kw (B) kw (C) kw (D).07 kw Conider a reverible power cycle. It receive energy Q H from a reervoir at temperature T H and reject Q L to a reervoir at temperature T L. The work developed by the power cycle i ued to drive a reverible heat pump that remove energy Q L l from a reervoir at temperature T L l and reject energy Q H l to a reervoir at temperature T H l. What will the expreion for the ratio QHl / QH in term of the temperature of the four reervoir? THl( TH + TL) THl( TH - TL) (A) (B) TH( THl+ TLl) TH( THl- TLl) THl( THl- TLl) TH( THl- TLl) (C) (D) T ( T - T ) T l( T - T ) H H L H H L TD 5.4 TD 5.5 In a condener of a reidential heat pump, refrigerant-14a enter at 800 kpa, 5c C with a rate of / and leave at 800 kpa a a aturated liquid. The enthalpie of refrigerant at the condener inlet and exit are h g = kj/ and hf = kj/, repectively. If the compreor conume 1.2 kw of power, what will be the COP of the heat pump and the rate of heat aborption from the outide air, repectively? (A).57, 1.2 kw (B) 1.2, 4.6 kw (C) 2.64, 1.96 kw (D) 5.5,.16 kw A team turbine ha inlet at 4MPa, 500c C and actual exit at 100 kpa, x = 10.. Conidering the propertie of water and team given in table, what will be the firt law (ientropic) and econd law efficiencie of the turbine, repectively? State Enthalpy (kj/) Entropy (kj/-) Superheated vapor at 4MPa, 500c C Saturated water at 100 kpa h f h g f g

38 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 40 TD 40 Second Law of Thermodynamic TD 5 (A) 90.6%, 97.7% (B) 90.6%, 88.5% (C) 88.5%, 90.6% (D) 97.7%, 88.5% TD 5.6 A heat engine reject 1000 kj/ of heat with a thermal efficiency of 40%. How much heat doe it receive? (A) 2500 kj/ (B) 1667 kj/ (C) 714. kj/ (D) kj/ TD 5.7 Conider a ytem for collecting olar radiation a hown. It utilize the radiation for production of electricity by a power cycle. The olar collector receive olar radiation at the rate of 0.15 kw/ m 2 and provide energy to a torage unit whoe temperature remain contant at 220c C. The power cycle receive energy by heat tranfer from the torage unit, generate electricity at the rate 0.5 MW and dicharge energy by heat tranfer to the urrounding at 20c C. For operation at teady tate, what will be the minimum theoretical collector area required? 2 (A) m 2 (B) m (C) 909 m 2 2 (D) m TD 5.8 The geothermal water extracted at 160c C and at a rate of 440 / i ued a the heat ource in a geothermal power plant. It produce 22 MW of net power. If the environment temperature i 25c C and the pecific heat of water at 160c C i 4.22 kj/ -, what will be the actual thermal efficiency, the maximum poible thermal efficiency and the actual rate of heat rejection from thi power plant? (A) 88%,.12%, 22 MW (B) 8.8%, 1.2%, MW (C) 8.8%, 68.8%, MW (D) 68.8%, 1.2%, 27.1 MW TD 5.9 In an automobile, 25 hp of power i delivered to the drive haft by the engine. The engine ha a thermal efficiency of 0 % and the fuel ha a heating value of kj/. What will be the rate of fuel conumption and the combined power rejected through the radiator and exhaut? (A) 1.5 g, / 42.9 kw (B) 268. g /, kw (C) 06. g /, 2. 2 kw (D) 2. g /, 5. 6 kw TD 5.10 Which of the following i the expreion for the COP of a completely reverible refrigerator in term of the thermal energy reervoir temperature, T L and T H? GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

39 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 41 TD 5 Second Law of Thermodynamic TD 41 (A) T (C) T L H TH - T H TL - T L (B) T (D) T H H TL + T L TH - T L TD 5.11 TD 5.12 TD 5.1 Air enter a compreor with a low velocity at ambient condition of 100 kpa and 20c C at a rate of 4.5 m / and exit at 900kPa, 60c C and 80 m/. The compreor i cooled by cooling water that experience a temperature rie of 10cC. If the iothermal efficiency of the compreor i 70 percent, the actual power input and the ma flow rate of the cooling water, repectively, are (Take R = kj/ -, c p = kj/ -, c w = 4.18 kj/ -) (A) kw, 55. / (B) 141 kw, / (C) kw, / (D) 1181 kw, 55. / In a team power plant, the boiler added 1MW of heat, the condener conume 0.58 MW of heat and the pump work i 0.02 MW. If everything could be revered to obtain a refrigerator, what will be the plant thermal efficiency and the coefficient of performance of the refrigerator? (A) 44%, 1.86 (B) 42%, 1.8 (C) 46%, 2.96 (D) 40%, 2.28 An automobile engine deliver 60 kw of power to the wheel while conume fuel at a rate of 28 Lh. / The fuel ha a heating value of kj/ and a denity of 0.8 gcm /. What will be the efficiency of thi engine? (A) 8.4% (B) 2.8% (C) 49.% (D) % TD 5.14 A refrigeration cycle at teady tate, remove kj/ h of energy by heat tranfer from a pace maintained at - 40cC and dicharge energy by heat tranfer to urrounding at 20c C. The coefficient of performance of the cycle i 25% of that of reverible refrigeration cycle operating between thermal reervoir at thee two temperature. The power input to the cycle i (A) 775. kw (B) 645. kw (C) 901. kw (D) 5.15 kw Common Data For Linked Anwer Q. 17 and 18 A refrigerator remove heat from the refrigerated pace at - 5cC and tranfer it to the ambient air at 27c C. A Carnot heat engine receive heat from a reervoir at 900c C at a rate of 800 kj / min and reject the wate heat to the ame ambient air at 27c C. The entire work output of thi heat engine i ued to drive thi refrigerator. TD 5.15 The maximum rate of heat removal from the refrigerated pace i (A) 4985 kj / min (B) kj/min (C) kj/min (D) kj/min TD 5.16 What will be the total rate of heat rejection to the ambient air? (A) kj/min (B) 5785 kj/ min (C) kj/min (D) kj/min For more GATE Reource, Mock Tet and Study material join the Group

40 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 42 TD 42 Second Law of Thermodynamic TD 5 TD 5.17 In a contant-preure heat exchanger, a refrigerant at 95c C, x = 01. flowing at 2 / i brought to aturated vapor. Thi heat exchanger ue energy from a heat pump with a coefficient of performance of 2.5. If the enthalpy of liquid and vapor are kj/ and kj/, repectively, the power required to drive thi heat pump will be (A) 8. 7 kw (B) kw (C) kw (D) 51.6 kw TD 5.18 A well ealed houe (i.e. no air leak) ha entire ma within the houe (air, furniture, etc) to be equivalent to 2000 of air. The houe i loing heat to the outide at an average rate of kj/ h and the temperature of the houe i cc. A heat pump with a COP of 24. i ued to heat the houe. When the heat pump i turned on, it conume 8kW of electric power. Take c v,air = kj/ - cc. How long it will take for the temperature in the houe to rie to 22c C? (A) 42 min 1 ec (B) 25 min 12 ec (C) 56 min 1 ec (D) 56 min 22 ec Common Data For Q.21 and 22 The figure how a Carnot refrigeration cycle which execute with one-tenth kilogram of air a an ideal ga with k = 14.. The iothermal expanion occur at - 2cC with a heat tranfer to the air of. 4 kj. The iothermal compreion occur at 27c C to a final volume of 0.01 m. TD 5.19 What will be the preure at principal tate 1 and? (A) p 1 = kpa, p = kpa (B) p1 = 864 kpa, p = kpa (C) p 1 = 56.1 kpa, p = kpa (D) p 1 = kpa, p kpa TD 5.20 What will be the work for thi cycle? (A) 679 J (B) 509 J (C) 1018 J (D) 848 J = Common Data For Linked Anwer Q. 2 and 24 Conider a Carnot heat engine which receive heat at 750 and reject the wate heat to the environment at 00. The entire work output of the heat engine i ued to drive a Carnot refrigerator that remove heat from the cooled pace at - 15cC at a rate of 400 kj / min and reject it to the ame environment at 00. GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

41 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 4 TD 5 Second Law of Thermodynamic TD 4 TD 5.21 The rate of heat upplied to the heat engine will be (A) kj/min (B) kj/min (C) kj/min (D) kj/ min TD 5.22 What will be the total rate of the heat rejection to the environment? (A) 4. 4 kj/min (B) kj/ min (C) kj/min (D) kj/min TD 5.2 Outide atmopheric air at 5c C i cooled by an air-conditioner upto 15c C with a rate of 1 /. What will be the amount of power needed to operate thi airconditioner? (A) 5. kw (B) kw (C) 1.4 kw (D) 49. kw Common Data For Linked Anwer Q. 26 and 27 A bread loaf ha an average ma of 450 g. Thee loave are cooled from 22 to - 10cC at a rate of 500 loave per hour by refrigerated air at - 0cC. The average pecific and latent heat of bread to be 2.9 kj/ - cc and 109. kj /, repectively. Take R = kpa-m / - and = 1.0 kj/ - cc. c p,air TD 5.24 What will be the rate of heat removal from the bread? (A) kj/ h (B) kj/ h (C) 497 kj/ h (D) 2459 kj/ h TD 5.25 TD 5.26 If the temperature rie of air i not exceed 8c C, the required volume flow rate of air i (A) m / h (B) m / h (C) m / h (D) 99 m / h A balloon i filled with 0.5 m of helium at 20c C, 1bar. It i moving with a velocity of 15 m/ at an elevation of 0.5 km relative to an exergy reference environment. For the environment at T 0 = 20cC, p 0 = 1bar, the pecific exergy of the helium will be (A) 878. kj/ (B) 627kJ. / (C) 5.02 kj/ (D) 75kJ. / TD 5.27 Air at 550 kpa, 425 enter teadily in an adiabatic turbine. If the air leave the turbine at 110 kpa and 25, what will be the econd-law efficiency of thi turbine? Take T 0 = 25cC, c p = kj/ - and R = kj/ -. (A) 64% (B) 7% (C) 57% (D) 86% TD 5.28 A cyclic machine hown in figure, receive 25 kj from a 1000 energy reervoir. It reject 125 kj to 400 energy reervoir. The cycle produce 200 kj of work a output. Thi cycle i For more GATE Reource, Mock Tet and Study material join the Group

42 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 44 TD 44 Second Law of Thermodynamic TD 5 (A) reverible (C) irreverible (B) impoible (D) heat pump TD 5.29 Conider two contant-volume tank, each filled with 0 of air, a illutrated in figure. The tank have temperature of 900 and 00. A heat engine place between the two tank, extract heat from the high-temperature tank, produce work and reject heat to the low-temperature tank. Aume contant pecific heat at room temperature, the maximum work that can be produce by the heat engine and the final temperature of the tank, repectively, are (A) 819 kj, (B) 462 kj, (C) 471 kj, (D) kj, TD 5.0 A refrigerator work on Cannot cycle between - 8cC and 5c C with a motorcompreor of 750 W. It make ice cube out of a tray of 0.25 liquid water at 10c C. What will be the required amount of work input for the refrigerator? Take 10 c C= kj/ and 0 c C=-. 6 kj/. (A) kj (B) kj (C) kj (D) kj TD 5.1 TD 5.2 Conider a 1.2 m inulated rigid tank which contain 2.1 of carbon dioxide at 100 kpa. Now paddle-wheel work i done on the ytem until the preure in the tank rie to 120 kpa. What will be the actual paddle-wheel work done during thi proce and the minimum paddle-wheel work with which thi proce (between the ame end tate) could be accomplihed, repectively? Take T 0 = 298, c v = kj/ - and R CO 2 = kj/ -. (A) 87 kj, kj (B) 758. kj, 87 kj (C) 87 kj, 758. kj (D) 65. kj, 758. kj A torage tank of 2 m i filled with water vapor at 400c C and 0.5 bar. The effect of motion and gravity are negligible. If the environment i at T 0 = 17cC and p 0 = 1atm, what will be the exergy of the content in the tank? Take in conideration, the data given in table. State Superheated vapor at 05. bar, 400c C Specific volume ( m / ) Internal energy (kj/) Entropy (kj/-) GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

43 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 45 TD 5 Second Law of Thermodynamic TD 45 (A) (C) Saturated water at 17cC nf ng u f u g f g kj (B) kj kj (D) kj TD 5. 8 of helium undergoe a proce from an initial tate of m / and 15c C to the final tate of 0.5 m / and 80c C. If the urrounding to be at 25c C and 100 kpa, what will be the increae in the ueful work potential of the helium during thi proce? (Take R = kj/ -, c v =.1156 kj/ -) (A) 6980 kj (B) 244 kj (C) 525 kj (D) 89 kj TD 5.4 In the figure, the heat pump i driven by the work output of a heat engine. If the device are ideal and working in ideal condition, what will be the ratio of the total power Qo L1+ Qo H2 that heat the houe to the power from the hot energy ource Qo H1 in term of the temperature? Troom ^TH - T (A) T H ^ T room - T TH ^Troom - T (C) T ^ T - T room H h h. h h amb. amb. amb amb. Troom ^TH + T (B) T H ^ T room - T TH ^Troom + T (D) T ^ T + T room H h h. h h amb. amb. amb amb. TD 5.5 A 50 iron block and 20 copper block, both initially at 80c C, are dropped into large tank at 15c C. A a reult of heat tranfer between the block and the tank water, thermal equilibrium i etablihed after a while. Auming the urrounding to be at 20c C, what will be the amount of work that could have been produced when the entire proce were executed in a reverible manner? (Take c p,iron = 0.45 kj/ cc and c p, copper = 0.86 kj/ cc) (A) 491 kj (B) 982 kj (C) 196 kj (D) 1964 kj Common Data For Q. 8 and 9 1 of water initially at 1.5 bar and 200c C cool at contant preure with no internal irreveribilitie to a final tate where the water i a aturated liquid. The environment i at T 0 = 20cC and p 0 = 1bar. Neglect the effect of motion and gravity. The thermodynamic propertie of water and team are given in the table. For more GATE Reource, Mock Tet and Study material join the Group

44 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 46 TD 46 Second Law of Thermodynamic TD 5 State Superheated vapor at 1.5 bar, 200c C Saturated water at 1.5 bar Specific volume ( m / ) nf Internal energy (kj/) Entropy (kj/-) ng u f u g f g TD 5.6 TD 5.7 TD 5.8 For the water a the ytem, the work and the heat tranfer, repectively, are (A) kj, kj (B) kj, kj (C) kj, kj (D) kj, kj What will be the amount of exergy tranfer accompanying work and heat tranfer, repectively? (A) kj, 586. kj (B) 586. kj, 72.1 kj (C) 72.1 kj, kj (D) 72.1 kj, 586. kj Hydrogen at 25 bar, 450c C enter in a turbine with a ma flow rate of 0.2 / and expand to 2bar, 160c C. The environment i at T0 = 25cC and p 0 = 1atm. The turbine operate at teady tate with negligible heat tranfer with it urrounding. Auming the ideal ga model with k = 17. and neglecting the kinetic and potential energy effect, what will be the ientropic and exergetic turbine efficiency, repectively? (A) 85.2%, 9.8% (B) 85.2%, 81% (C) 81%, 85.2% (D) 81%, 9.8% Common Data For Q. 41 and 42 The Carbon teel ball of 8mm diameter are annealed by heating them firt to 900c C in a furnace and then allowing them to cool lowly to 100c C in ambient air at 5c C. In the proce hown, 1200 ball are to be annealed per hour. Take r = 78 / m and = kj/ -cc. c p TD 5.9 The rate of heat tranfer from the ball to the air i (A) 195 W (B) 10 W (C) 25 W (D) 260 W TD 5.40 What i the rate of exergy detruction due to heat lo from the ball to the air? (A) W (B) W (C) 219 W (D) 146 W TD 5.41 A Carnot cycle heat engine operating in outer pace, reject heat only by thermal GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

45 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 47 TD 5 Second Law of Thermodynamic TD 47 radiation. Thi thermal radiation i proportional to the radiator area and the 4 fourth power of abolute temperature a Qrad = kat. For a given engine work output and given T H, what will the ratio of TL/ TH o that the radiator area will be minimum? (A) 4 (B) 4 5 (C) 2 (D) 4 TD 5.42 An adiabatic team turbine with inlet and outlet condition i hown in figure. If the power output of the turbine i 5 MW, what will be the econd law efficiency of the turbine? Aume the urrounding to be at 25c C and refer the data given in table. Temperature ] ccg Preure ^MPah h ( kj/ ) ( kj/ ) (A) 90.2% (B) 65.% (C) 86.1% (D) 76.6% TD 5.4 TD 5.44 Common Data For Q. 45 and 46 Helium ga enter in an inulated nozzle with velocity of 10 m/, operating at teady tate at 100, 4bar. At the exit, the temperature and preure of the helium are 900 and 1.45bar, repectively. The environment i at T 0 = 20cC and p 0 = 1atm. Ignore the effect of gravity and aume the ideal ga model of helium. Ue c p = kj/ -, R = kj/ - and k = The exit velocity and the ientropic nozzle efficiency, repectively are (A) 208 m/, % (B) 1528 m/, 46.1% (C) 1019 m/, 46.1% (D) 2122 m/, 92.2% What will be the rate of exergy detruction in kj/ of ga flowing through the nozzle? (A) kj/ (B) 58.1 kj/ (C) 7. 8 kj/ (D) kj/ For more GATE Reource, Mock Tet and Study material join the Group

46 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 48 TD 48 Second Law of Thermodynamic TD 5 TD 5.45 In the figure hown, hot combution gae enter the nozzle at 260 kpa, 747c C and 80 m/ and exit at 70 kpa, 500c C and 758 m/. Auming the nozzle to be adiabatic and the urrounding to be at 20c C, the decreae in the exergy of the gae will be (Take k = 1., R = kj/ - and = 1.15 kj/ - cc) c p (A) 8.56 kj/ (B) 642kJ. / (C) kj/ (D) kj/ TD 5.46 A Carnot heat engine i hown in figure. It receive energy from a reervoir at T re through a heat exchanger where the heat tranferred i given by Qo H = k^tre -THh and T L i the low temperature at which it reject heat. To deign the heat engine for maximum work output, what hould be the high temperature, T H, in a cycle? (A) TreTL (B) TreT (C) ( TreT L) 1 / (D) ^T T L re Lh 2 *********** GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

47 TD 6 ENTROPY TD 6.1 In a family of four peron, each peron taking a 5 minute hower ever morning. The average flow rate through the hower head i 0.2 /. Municipal water at 15c C i mixed by hot water at 55c C and the mixture at 42c C i being routed to the hower head. What will be the amount of entropy generated by thi family per year a a reult of taking daily hower? (A) kj/ (B) kj/ (C) kj/ (D) kj/ TD 6.2 Air ^c p = kj/ - cch enter the heat exchanger at 95 kpa and 20c C with a rate of 1.6 m /. The combution gae ^c p = 1.10 kj/ - cch enter at 180c C with a rate of 2.2 / and leave at 95c C. What will be the rate of entropy generation? (A) kw/ (B) 0.91 kw/ (C) kw/ (D) 9.1 kw/ TD 6. In an iothermal, internally reverible proce, air i initially at 14 bar, 60c C and i expand to a final preure of 2.8 bar. What will be the work? (A) kj/ (B) kj/ (C) kj/ (D) kj/ TD 6.4 In an inulated 12 cm diameter pipe, oxygen enter with a velocity of 70 m/. The inlet tate of oxygen i 240 kpa, 20c C and the exit tate i 200 kpa, 18c C. For oxygen R = kj/ - and cp = kj/ -. The rate at which entropy i generated in the pipe, will be (A) kw/ (B) kw/ (C) kw/ (D) kw/ TD 6.5 What will be the pecific entropy generation when air at 1MPa, 00 i throttled to 0.5 MPa? (A) 0. kj/ - (B) 0. 1 kj/ - (C) 0.2 kj/ - (D) 0. 4 kj/ - TD 6.6 In an ideal ga model, nitrogen initially occupie 0.5 m at 1.0 bar, 20c C and undergoe an internally reverible compreion to a final tate where the temperature i 200c C. During the compreion pv 10. = contant. For nitrogen c p = 1.09 kj/ - and R = kj/ -. What will be the entropy change? (A) kj/ (B) kj/ (C) kj/ (D) -6.8 kj/ TD 6.7 The exit velocity of a nozzle i 500 m/. If h nozzle = 0.88, what will be the ideal exit velocity? (A) 5 m/ (B) 266 m/ (C) 500 m/ (D) 250 m/

48 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 50 TD 50 Entropy TD 6 Common Data For Q. 8 and cm diameter tainle-teel ball bearing are quenched in water at a rate of 1400 per minute. The ball are leaving the oven uniformly at 900c C. They are expoed to air at 0c C for a while prior to quenching and the temperature of the ball drop to 850c C. For tainle-teel ue r = 8085 / m and = kj/ - cc. TD 6.8 What will be the rate of heat tranfer from the ball to the air? (A) 4.1 kw (B) 82. kw (C) kw (D) 615. kw c p TD 6.9 What will be the rate of entropy generation due to heat lo from the ball to the air? (A) kw/ (B) kw/ (C) kw/ (D) kw/ TD 6.10 A refrigerator tranfer 1kJ of heat from a cold region at - 20cC to a hot region at 0c C. If the COP of the refrigerator i 4, the total entropy change of the region will be 2 (A) 1.7 # 10 - kj/ (B) 1.7 # 10 - kj/ (C) kj/ (D) kj/ # -4 TD m of air i initially at 1bar, 20c C. It undergoe two internally reveribly procee in erie a: Proce 1 2; compreion to 5bar, 110c C during which pv n = contant. Proce 2 ; adiabatic expanion to 1bar. What will be the net work? (A) kj (B) kj (C) -.18 kj (D) kj TD 6.12 The total heat tranfer for the reverible proce 1- hown in the figure i to be (A) (C) 410 kj (B) 28 kj 492 kj (D) 246 kj TD 6.1 In a nozzle, nitrogen ga enter at 500kPa, 200c C with a velocity of 10 m/ and i expand to produce a velocity of 00 m/. The expanion i reverible and adiabatic. If the ma flow rate i 0.15 /, the cro-ectional of the nozzle will be 2 (A) 267. cm (B) 1.78 cm 2 (C) 12. cm 2 (D) 22. cm 2 GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

49 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 51 TD 6 Entropy TD 51 TD 6.14 In an ientropic turbine with a ingle inlet and outlet, team enter at 2MPa, 60c C and leave at 100 kpa. The thermodynamic propertie of water and team are given in table. What will be the work produced by thi turbine? State h g ( kj/ ) g ( kj/ -) Steam: 2MPa, 60cC Water: 100 kpa h f h fg f fg (A) kj/ (B) kj/ (C) kj/ (D) kj/ Common Data For Linked Anwer Q.15 and 16 Conider an iolated ytem which conit of a cloed aluminium veel of 0.1 that contain 1 of ued engine oil and each initially at 55c C. Thi ytem i immered in a 10 - bath of liquid water which i initially at 20c C. The ytem i allowed to come to equilibrium. (Data: c Al = 0.9 kj/ -, c = 1.91kJ/ -, c = 418kJ. / -) TD 6.15 What will be the final temperature when the ytem ha come to equilibrium? (A) (B) (C) 147. (D) oil w TD 6.16 The amount of entropy produced will be (A) kJ/ (B) kj/ (C) kj/ (D) kj/ TD 6.17 Given figure how that team at a rate of 5 /, enter in an ientropic team turbine at 4MPa. Thi team i exhauted at 50 kpa, 100c C. Five percent of thi flow i diverted for feed-water heating at 700 kpa. What will be the power produced by thi turbine? (A) 4746 kw (B) 1582 kw (C) 628 kw (D) 164 kw TD 6.18 Air with ma flow rate of 1 /, enter in a reverible teady tate device at 400, 450 kpa and leave at 600, 100 kpa. Heat of 800 kw i added at 1000 For more GATE Reource, Mock Tet and Study material join the Group

50 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 52 TD 52 Entropy TD 6, 100 kw i rejected at 50 and ome heat tranfer take place at 500. The ideal ga propertie of air are given in table below. Preure (MPa) Temperature ( C) Enthalpy kj/ Entropy kj/ What will be the rate of work produced? (A) kw (B) kw (C) kw (D) kw TD 6.19 An inulated tank contain 120 L of water at 25c C ( r = 997 / m, c p = 4.18 kj/ - cc). A 50 copper block ( cp = kj/ - cc) initially at 80c C i dropped into water. The total entropy change for thi proce will be (A). 44 kj/ (B) kj/ (C). 104 kj/ (D) kj/ TD 6.20 Given figure provide teady-tate operating data for a well-inulated device. In which air enter at one location and exit at another with a ma flow rate of 10 /. For ideal ga behavior and negligible potential energy effect, the power will be (A) (C) 2176 kw (B) kw kw (D) kw TD 6.21 TD 6.22 Two block of iron and copper, both initially at 80c C, are dropped into a large lake at 15c C. The ma of the iron and copper block are 50 and 20,repectively. After a while the ytem i in thermal equilibrium due to heat tranfer between the block and the lake water. What will be the total entropy change for thi proce? (Data: c iron = 0.45 kj/ - cc, c copper = 0.86 kj/ - cc) (A) kj/ (B) kj/ (C) kj/ (D) kj/ A L rigid tank initially contain air at 100 kpa, 15c C. Now air from a line at 12 MPa, 15c C flow into the tank until the preure inide reache ome value p 2 then the valve i cloed. Thi tank now eventually cool to room temperature and the preure inide become 5MPa. The proce occur rapidly and i eentially adiabatic. What will be the preure p 2? (A) 14. MPa (B) 6.96 MPa (C) 45. MPa (D) MPa GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

51 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 5 TD 6 Entropy TD 5 TD 6.2 TD L of air initially at 120 kpa, 17c C i heated for 15 min by a 200W reitance heater in an inulated piton cylinder device. The preure of air i maintained contant during thi proce. What will be the entropy change of air at contant pecific heat? (A) 0.87 kj/ (B) kj/ (C) kj/ (D) kj/ Conider a ga turbine power plant that operate at teady tate a hown in figure. Air enter the compreor at.9 / with h = kj/, = kj/ - and exit the turbine with h = kj/, = kj/ -. Heat tranfer occur in heat exchanger at an average temperature of 488c C. The compreor and turbine operate adiabatically. Ue the ideal ga model for the air and neglect kinetic and potential effect. What will be the maximum theoretical value for the net power that can be developed by the power plant? (A) kw (B) kw (C) kw (D) kw TD 6.25 TD 6.26 An inulated rigid ha two equal part by a partition. Initially, firt part contain 5kmol of an ideal ga at 250 kpa, 40c C and the other part i evacuated. If the partition i removed then the ga fill the entire tank, what will be the total entropy change during thi proce? (A) kj/ (B) 720kJ. / (C) kj/ (D) kj/ In a contant preure proce, 1 of air at 00 i mixed with 1 air at 400. If the preure i 100 kpa and Q = 0, the entropy generation in the proce will be (A) kj/ (B) kj/ (C) kj/ (D) kj/ TD 6.27 In a teady tate nozzle, carbon monoxide undergoe a polytropic expanion ( n = 12. ) from 5bar, 200c C to 1bar. Ue the ideal ga model and ignore potential energy effect. If carbon monoxide enter in nozzle at 1 m/, the exit velocity will be (A) 55. m/ (B) m/ (C) m/ (D) m/ For more GATE Reource, Mock Tet and Study material join the Group

52 GATE Mechanical Engineering in 4 Volume NODIA Demo Ebook Page 54 TD 54 Entropy TD 6 TD 6.28 In given figure, a completely reverible heat pump produce heat at a rate of 100 kw to warm a houe maintained at 21c C. The exterior air at 10c C erve a the ource. What will be the rate of entropy change of everything in thi ytem? (A) 0.04 kw/ (B) Zero (C) kw/ (D) 0. 68kW 0 / TD 6.29 An adiabatic nozzle during a polytropic proce with n = 1. i hown in figure. The inlet tate of air i 700 kpa, 100c C with a velocity of 0 m/ and the exit tate i 200 kpa. What will be the air velocity at the nozzle exit? (A) 46 m/ (B) 218 m/ (C) 872 m/ (D) 654 m/ TD 6.0 A 5 m# 8 m# 0. m ize concrete lab ( r = 2200 / m, c p = 0.88 kj/ -) i ued a a thermal torage ma in a olar-heated houe. If the lab cool overnight from 2c C to 18c C in an 18c C houe, what will be the net entropy change aociated with the proce? (A) kj/ (B) 795 kj/ (C) kj/ (D).4 kj/ TD 6.1 In figure hown, a container filled with water i placed in a well ealed and heavily inulated room. Heat tranfer take place between the water and the air in the room until the thermal equilibrium i etablihed. Uing contant pecific heat, the entropy generation will be GATE MCQ Mechanical Engineering (4-volume) Fully Solved by NODIA and COMPANY Buy online at and get maximum available dicount

KNOWN: Separate streams of air and water flow through a compressor and heat exchanger arrangement.

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