v = 5.00cm x 3.00cm x 2.00cm 2. What is the volume of a marble that has a mass of 3.0 g and a density of 2.7 g/ml? Formula (density) Substitution

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Julie Farmer
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1 Name: STUDY GUIDE: MEASUREMENT, DENSITY, MASS, VOLUME, AND DIMENSIONAL ANALYSIS (2016) 1. A solid block is 5.00 cm high, 3.00 cm wide, and 2.00 cm long. It has a mass of 129 g. What is the density? Formula (olume) = l x w x h = 5.00cm x 3.00cm x 2.00cm D = 129g 30.0cm 3 = 30.0cm 3 D = 4.30g/cm 3 2. What is the olume of a marble that has a mass of 3.0 g and a density of 2.7 g/ml? = m D = 3.0g 2.7g/mL = 1.1mL 3. Calculate the density of sulfuric acid if 35.4 ml of the acid is g. D = 65.14g 35.4mL D = 1.84g/mL 4. A perfect cube has a measurement of 2.0 cm along each one of its sides. What is the olume of the cube? Formula (olume) = l x w x h = 2.0cm x 2.0cm x 2.0cm = 8.0cm 3 5. A graduated cylinder is filled to an initial olume of 12.5 ml. A rock is dropped into the cylinder. The final olume of the graduated cylinder is 18.5 ml. What is the rock s olume? Formula = f - i = 18.5mL 12.5mL = 6.00mL

2 6. In a lab, you need to find the density of silly putty. You place it in a graduated cylinder that has 25.0 ml of water to start. The water leel rises to 29 ml after the putty is added. If the mass of the silly putty is 8.0 grams, calculate the density of the silly putty. Formula = f - i = 29mL 25.0mL D = 8.0g 4.0mL = 4.0mL D = 2.0g/mL 7. A sample of a liquid has a mass of 24.0 g and a olume of 6.0 ml. Calculate its density. D= m = 24.0g 6.0mL = 4.0g/mL 8. In terms of olume, how do ml and cm 3 relate to one another? 1 ml = 1cm 3 9. A graduated cylinder contains 17.5 ml of water. When a metal cube is placed into the cylinder, its water leel rises to 20.3 ml. Calculate the following: (20.3 ml 17.5 ml = 2.8mL) a. Volume of the cube: 2.8 ml b. Volume of the cube: 2.8 cm 3 *Reasoning: 1mL = 1cm You bought a new fish aquarium with the dimensions of 55.0 cm x cm x 80.0 cm. What olume of water should you put in it? Formula (olume) = l x w x h = 55.0cm x 100.0cm x 80.0cm = 440,000cm 3 = 4.40 x 10 5 cm Will an object with a density of 1.15 g/ml sink or float in water? Explain. The object will sink in water because its density is greater than the density of water (density of water = 1g/mL)._ 12. Will an object with a density of 0.75 g/ml sink or float in water? Explain. The object will float in water because its density is less than the density of water (1g/mL)._ 13. A chemist needs 2.00 g of a liquid compound, which has a density of g/ml. If the compound costs $5.67 per ml, how much will a 2.0 gram sample cost? = m D = 2.00g g/ml = 2.79mL

2.79mL x $5.67 = $15.82 1mL 14. Conert 4.50 m to cm 4.50m x 100cm = 450cm 1m 15. Conert 3500 g to kg 3500g x 1kg = 3.5kg 1000g 16. Conert 0.555L to ml 0.555L x 1000mL = 555mL 1L 17. Conert 87.

3 2.79mL x $5.67 = $ mL 14. Conert 4.50 m to cm 4.50m x 100cm = 450cm 1m 15. Conert 3500 g to kg 3500g x 1kg = 3.5kg 1000g 16. Conert 0.555L to ml 0.555L x 1000mL = 555mL 1L 17. Conert 87.5 cm to mm 87.5cm x 10mm = 875mm 1cm 18. Label whether each of the following would sink or float in water: a. Air: g/ml float b. Corn oil: 0.93 g/ml float c. Glycerine: 1.26 g/ml sink d. Corn syrup: 1.38 g/ml sink e. Wood: 0.85 g/ml float f. Steel: 7.81 g/ml sink g. Ice: 0.92 g/ml float h. Water: 1.00 g/ml suspend Assuming the materials aboe do not mix, put them in the order in which they would stack up in a graduated cylinder. AIR WOOD ICE CORN OIL WATER GLYCERINE CORN SYRUP STEEL

19. Measure the olume in each graduated cylinder. 7mL 38mL 33mL 20mL 20. What is the density of water? 1g/mL 21. In an oil spill, the oil seems to float on top of the water.

4 19. Measure the olume in each graduated cylinder. 7mL 38mL 33mL 20mL 20. What is the density of water? 1g/mL 21. In an oil spill, the oil seems to float on top of the water. Does oil or water hae the lower density? Oil has a lower density than that of water. 22. In an oil spill, is the danger greater to birds and marine mammals than it is to fish and other organisms that lie on the ocean bottom? Why? There is more danger done to the birds and marine mammals who swim to the top of the water because these liing organisms will come into direct contact with the oil because the oil will float on top of the water due to its density. 23. How is the density of oil an adantage in the cleanup? Since the oil floats on top of the water, it is easier to clean the oil up from the top of the water rather than mixing in with the water. 24. Corn syrup sinks when poured in water. Does water or corn syrup hae the higher density? Corn syrup has a greater density than that of water. 25. Why would an oil spill be an een greater disaster if the density of oil were the same as that of corn syrup? It would be ery difficult to clean up oil if it was underneath the water leel. 26. The common metal iron pyrite is often called fool s gold because it can be mistaken for gold. How could you distinguish the two? Calculate the density of the two materials and compare that density to the known densities of pyrite and gold.

5 27. Complete the following chart. Measurement Definition Formula Unit Instrument Mass Volume the amount of matter in an object m= D g Triple beam the amount of space an object takes up = m D = lwh ml cm 3 balance Metric ruler = f - i Graduated cylinder Density a relationship between the mass and olume of an object g/ml Graduated cylinder, metric g/cm 3 ruler, triple beam balance 28. How do you properly find the olume of an irregular shaped object? Use the process of water displacement. 29. How many grams are represented on the balance below? 27.7g 30. What weighs more a pound of feathers or a pound of lead? neither

6 31. What is difference between a pound of feathers and a pound of lead? Nothing. Both measurements are the same. The substance does not matter. 1 lb = 1lb 32. The density of an object is the mass per unit olume of an object. A solid piece of copper and a solid piece of aluminum hae the same mass. If the density of copper is 8.9 grams/cm 3 and the density of aluminum is 2.7 grams/cm 3, which of the following statements is true: a. Both objects will hae the same olume. b. The olume of the copper piece is larger than that of the aluminum piece. c. The olume of the aluminum piece is larger than that of the copper piece. d. Not enough information is proided in order to compare the two olumes. 33. Four solid objects are made from the same exact plastic material. The density of the plastic material is 0.95 grams/cm 3. Object A has a mass of 227 grams, object B has a mass of 454 grams, object C has a mass of 4536 grams and object D has a mass of 453,542 grams. If density of water is 1.0 gram/cm 3, which one of the following statements is true? a. Only A & B will float b. Only object A will float c. All objects will float d. All objects will sink. 34. Fill in the blanks with the proper formula and then its proper number. Place an X in the column if the substance will float or sink in water. Gie proper units for each answer (g, cm!, g/cm!). Round answers to the tenths place. Formula Mass Volume Density Sink? Float? D=m/ 12g 0.5 cm 3 24 g/cm 3 X V=m/D 16g 80 cm g/cm 3 X M=VD 100g 5 cm 3 20 g/cm 3 V=m/D 0.9g 3 cm g/cm 3 X D=m/V 6g 4 cm g/cm 3 X D=m/V 8g 1.8 cm g/cm 3 X M=VD 117g 13 cm 3 9 g/cm 3 X D=m/V 14.7g 15 cm 3 1 g/cm 3 X M=VD 2.2g 2 cm g/cm 3 X V=m/D 17g 5.7 cm 3 3 g/cm 3 X

SIGNIFICANT FIGURES WORKSHEET

SIGNIFICANT FIGURES WORKSHEET PART 1 - Determine the number of significant figures in the following numbers. 1.) 0.02 2.) 0.020 3.) 501 4.) 501.0 5.) 5,000 6.) 5,000. 7.) 6,051.00 8.) 0.0005 9.) 0.1020