# EXPERIMENT 6. Determination of the Ideal Gas Law Constant - R. Magnesium metal reacts with hydrochloric acid according to the following reaction,

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1 EXPERIMENT 6 Determination of the Ideal Gas Law Constant - R Magnesium metal reacts with hydrochloric acid according to the following reaction, Mg + 2 HCl MgCl 2 + H 2 (g) In this experiment you will use this reaction to determine the value of the Ideal Gas Law Constant, R. By adding a known mass of magnesium to a solution of hydrochloric acid, a known amount (moles) of hydrogen gas will be produced. The gas is collected and its volume is determined. By measuring the pressure in the room along with the ambient temperature, and the Ideal Gas Law equation, a value for R can be calculated. Ideal Gas Law: Rearranging, PV = nrt PV = R nt You will determine the number of moles of hydrogen gas and its volume. Your instructor will tell you the temperature and pressure in the room at the time of the experiment. In the second part of this experiment you will use the same process to determine the molar mass of an unknown metal. In this case you will use the metal to produce a measured quantity of hydrogen gas and use the idea gas law to determine the number of moles. Knowing the moles of hydrogen gas produced and the grams of unknown metal used, you will be able to calculate the molar mass of the metal. Part I -Determination of the Ideal Gas Law Constant - R EXPERIMENT: Weigh out a sample of magnesium that weighs between g and g. Record the mass of the magnesium and in your table. Put a piece of copper wire through the hole of a rubber stopper and secure the magnesium ribbon to the copper wire on the narrow portion of the stopper. Make sure the magnesium is approximately 2 cm from the end of the stopper so that it protrudes far enough into the solution during the experiment. Bend the end of the copper wire in the stopper to secure the wire and magnesium ribbon to it. The eudiometer must be supported by a clamp so place a clamp onto a ring stand at your station. Eudiometer setup.

2 Fill a 600 ml (or larger) beaker with tap water and place it under the clamp. Now, pour approximately 15 ml of 6M HCl into the eudiometer and then gently fill the entire eudiometer with water, taking care not to disturb the HCl on the bottom of the tube. Put the stopper with the copper wire and your sample into the eudiometer and invert the tube into the beaker of water. Secure it inside the beaker using the test tube clamp. When the magnesium has fully reacted, try to equalize the liquid heights between the eudiometer and the beaker by raising or lowering the tube within the beaker. This will minimize pressure differences between the atmosphere and the tube. Record the volume of the gas inside the tube, the mass of magnesium used, along with the current temperature and pressure of the room. Using the table below, subtract the pressure of the water vapor from the atmospheric pressure to get the pressure of just the hydrogen gas. Repeat the experiment a second time. Note: Save the copper wire. Everything else can be thrown down the sink. Water Vapor Pressure Table Temperature Pressure ( C) (mmhg) Temperature Pressure ( C) (mmhg) Part II - Determination of the mass of an unknown metal EXPERIMENT: In this part of the experiment you will use the methods outlined above to determine the formula weight of an unknown metal. Repeat the experimental setup as outlined previously but use your assigned unknown metal instead of the magnesium ribbon. Collect the hydrogen gas the same as before and record the volume of the gas produced. Record the mass of unknown metal used. Using the Ideal Gas Law, calculate the number moles of hydrogen produced but make sure you subtract out the vapor pressure of the water from the atmospheric pressure. From the mass of unknown metal and the moles of hydrogen, calculate the molar mass of your unknown metal.

3 Name Date CALCULATION OF THE GAS LAW CONSTANT, R (WORKSHEET) OBJECTIVE: PROCEDURE: DATA: Part I Temperature: Atmospheric Pressure: Vapor Pressure: Mass of Magnesium used (g) Moles of Mg = Moles of H 2 (moles) Volume of Hydrogen collected (ml) R Constant R = PV/nT

4 DATA: Part II Unknown Metal # Mass of Unknown Metal used (g) Volume of Hydrogen collected (ml) Moles of H 2 (moles) n = PV/RT R = Latm/molK Molar Mass of Unknown Metal CALCULATIONS:

5 RESULTS: Average Value of R = Molar Mass of Unknown = CONCLUSIONS: SOURCES OF ERROR: PROBLEMS 1. The water used in this experiment has a vapor pressure that contributes to the pressure in your eudiometer. At 25 C, water has a vapor pressure of 23.8 torr. Will the presence of water vapor make your experimentally determined value of R too high, or too low? Explain.

6 2. A gram sample of a metal reacted with HCl and produced ml of H 2 gas at 25 C and 1 atm pressure. The metal is known to react with HCl according to the following reaction, 2 M + 6 HCl > 2 MCl H 2 What is the molar mass of the metal? Which metal is it? 3. How would the value you obtained for the gas law constant R have changed had the temperature in the room been 5 C hotter than actually reported? Is this a potential source of error for this lab (using the wrong temperature)?

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