WLHS / Chem / Monson Name

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14.2-14.3 PROBLEM SET: Combined and Ideal Gas Laws

1 atm = 760 mm Hg = 760 torr = 101.3 kPa = 1.013 bar

°C + 273 = K

Part 1: COMBINED GAS LAW

1) Complete the following chart.

P1 / V1 / T1 / P2 / V2 / T2
1.55 atm / 3.50 L / 20.0°C / 253.3 kPa / 30.0° C
720 torr / 256 mL / 25.0°C / 0.277 L / 52.2° C
605. mmHg / 2.55 L / 22.7°C / 762 mmHg / 1875 mL
0.755 L / 2.70°C / 2.09 atm / 516 mL / 25.5°C
105.5 kPa / 4.80 L / 0.885 atm / 6.40 L / 198° C
0.832 atm / 112° C / 916 torr / 225 mL / 158° C

2) The air in a balloon has a volume of 3.00 L and exerts a pressure of 101.3 kPa at 27 °C. What pressure does the air in the balloon exert if the temperature is increased to 400.0 K and the air is allowed to expand to 15.0 L?

3) A sample of carbon dioxide occupies 4.50 L at 750 K and 500.0 kPa. What is the volume of this gas at STP?

4) A sample of methane that initially occupies 850.0 mL at 500.0 kPa and 227.0 °C is compressed to a volume of 700.0 mL. To what temperature will the gas need to be cooled to lower the pressure of the gas to 200.0 kPa?

5) A helium balloon has a volume of 500.0 mL at STP. What will be its new volume if the temperature is increased to 152 °C and its pressure is increased to 125 kPa?

6) An 8.00 L sample of neon gas at 25°C exerts a pressure of 900. kPa. If the gas is compressed to 2.00 L and the temperature is raised to 225°C, what will the new pressure be?

7) A plastic weather balloon is filled with 90.0 L of hydrogen gas at ground level, where the pressure is 99.0 kPa and the temperature is 20.0°C. The balloon will burst if its volume exceeds 300.0 L. Can the balloon rise above the altitude of Mount Everest where the pressure drops to 32.1 kPa and the temperature decreases by 64.4°C?


Part 2: IDEAL GAS LAW

PV = nRT

R = 0.0821 L•atm / mol•K

STP = 0°C and 1 atm

1) How many moles of sulfur dioxide, SO2, are contained in a 4.50 L container at 177°C and 5.08 kPa? What is the mass (in grams) of this sample of sulfur dioxide gas?

2) At what temperature will 28.5 g of helium gas exert a pressure of 1.52 atm in a 2.50 L tank?

3) What volume is occupied by 0.556 g of nitrogen gas, N2, measured at 765 mm Hg and 24.5°C?

4) Suppose you have a 525.0 mL container that contains 1.76 g of oxygen gas, O2, at 25.0°C. What is the pressure inside the container?

5) What mass (in grams) of nitrogen, N2, in a 10.0 L container, will exert a pressure of 722.5 torr at a temperature of 31.8°C?

6) A 550.0 g block of dry ice (solid CO2) vaporizes to a gas at room temperature. Calculate the volume of gas produced at 25.4°C and 106.9 kPa.

7) What volume will 73.2 g of oxygen gas (O2) occupy at STP?

8) A 95.48 g sample of nitrogen gas (N2) is sealed in a 6550 mL container and heated to a temperature of 327.0°C. What is the pressure of the gas?

9) A helium-filled weather balloon has a volume of 7,775 L. How many grams of helium would be required to inflate this balloon to a pressure of 745 mm Hg at 21.0°C?