Gas Law Review Problems 1. The atmospheric pressure at the top of a ski hill was 450 torr. What is this pressure in Pa? What is the pressure in inches of Hg?
2. Complete the following sentences: As the volume of a gas increases, the pressure of the gas will ______while ______and ______stay constant.
As the temperature of a gas increases, the volume of that gas will ______while ______and ______stay constant.
As the temperature of a gas decreases, the pressure of the gas will ______while______and ______stay constant.
3. Boyle’s law shows an ______relationship between ______and ______.
4. Avogadro’s law shows a ______relationship between ______and ______.
5. Gay-Lussac’s law shows a ______relationship between ______and ______.
6. Graham’s law shows an ______relationship between ______and ______.
7. The graphs of which of the following gas laws would be linear: charles’, avogadro’s, boyle’s?
8. A 750. mL cylinder contains 25.0 grams of nitrogen gas (N2). What is the pressure, in kPa, exerted by the nitrogen at 35oC?
9. How many grams of SO2 gas are there in a 125-mL Erlenmeyer flask if the pressure is 755 mm Hg and the temperature is 25oC?
10. A 3.50-L gas sample at 20.0oC and a pressure of 86.7 kPa expands to a volume of 8000. mL. The final pressure of the gas is 685 torr. What is the final temperature of the gas, in degrees Celsius?
11. A container has a volume of 850 mL at 42oC and a pressure of 725 mm Hg. What is the volume of the container, in liters, at STP?
12. In a thermonuclear device, the pressure of 0.050 liters of gas within a bomb casing reaches 4.0 x 106 atm. When the bomb is destroyed by the explosion, the gas released reaches a pressure of 775 mm Hg. What is the volume of gas, in liters, after the explosion assuming the temperature remains constant (which is a bit of a stretch!)? 13. A man heats a balloon in an oven. If the balloon initially has a volume of 400. mL at 20.0oC, what the temperature of the balloon be if the volume increases to 2.5 L, assuming constant pressure?
14. Inside a pressure cooker, the pressure of a water vapor is measured to be 2.50 atm at 100.oC. What will the pressure of the vapor be, in mm Hg, if the temperature doubles, assuming the volume of the gas remains constant?
15. Calculate the total pressure (in atm) of a mixture of 0.0200 mol of helium, He, and 0.0100 mol of o hydrogen, H2, in a 2.50-L flask at 10.0 C.
o 16. If 4.51 L of nitrogen dioxide, NO2, was collected over water at 18 C and at a total pressure of 745 mm Hg, how many grams of NO2 would be produced?
17. If 0.10 mol of I2 vapor can effuse from an opening in a heated vessel in 39 seconds, how long will it take 0.10 mol of H2 gas to effuse under the same conditions?
18. A given volume of nitrogen gas, N2, required 68.3 seconds to effuse from a hole in a chamber. Under the same conditions, another gas required 85.6 seconds for the same volume to effuse. What is the molar mass of this gas?
19. A sample of hydrogen gas collected over water at 24oC occupies a volume of 0.159 L. The wet gas has a pressure of 104. kPa. The gas is dried and the dry gas occupies 45 mL at 20.oC. What is the pressure of hydrogen gas at 20.oC?
20. Consider the combustion of butane at 35C and 95.0 kPa. 2 C4H10(g) + 13 O2(g) 8 CO2(g) + 10 H2O(g) What mass, in grams, of oxygen gas is needed to react with 25.0 mL of butane?
21. A 10.5 gram sample of copper reacts violently with nitric acid, HNO3, in the presence of oxygen gas producing nitrogen dioxide gas, copper (II) nitrate and water vapor. 3 Cu(s) + 8 HNO3(aq) + O2(g) 2 NO2(g) + 3 Cu(NO3)2(aq) + 4 H2O(g)
o If the NO2 is collected over water at 21 C, where the total pressure is 780 mm Hg, what is the volume of nitrogen dioxide produced?