Combined Gas Law Problems (P1V1)/T1 = (P2V2)/T2

CLASS COPY

1) A gas has a volume of 800.0 mL at -23.00 °C and 300.0 atm. What would the volume of the gas be at 227.0 °C and 600.0 atm of pressure?

2) 500.0 liters of a gas are prepared at 700.0 atm and 200.0 °C. The gas is placed into a tank under high pressure. When the tank cools to 20.0 °C, the pressure of the gas is 300.0 atm. What is the volume of the gas?

3) What is the final volume of a 400.0 mL gas sample that is subjected to a temperature change from 22.0 °C to 30.0 °C and a pressure change from 760.0 atm to 360.0 atm ?

4) What is the volume of gas at 2.00 atm and 200.0 K if its original volume was 300.0 L at 0.250 atm and 400.0 K?

5) At conditions of 785.0 torr of pressure and 15.0 °C temperature, a gas occupies a volume of 45.5 mL. What will be the volume of the same gas at 745.0 torr and 30.0 °C?

6) A sample of hydrogen has a volume of 65.0 ml at a pressure of 0.992 atm and a temperature of 16 °C. What volume will the hydrogen occupy at 0.984 atm and 25 °C?

CLASS COPY

1) A gas has a volume of 800.0 mL at -23.00 °C and 300.0 atm. What would the volume of the gas be at 227.0 °C and 600.0 atm of pressure?

2) 500.0 liters of a gas are prepared at 700.0 atm and 200.0 °C. The gas is placed into a tank under high pressure. When the tank cools to 20.0 °C, the pressure of the gas is 300.0 atm. What is the volume of the gas?

3) What is the final volume of a 400.0 mL gas sample that is subjected to a temperature change from 22.0 °C to 30.0 °C and a pressure change from 760.0 atm to 360.0 atm ?

4) What is the volume of gas at 2.00 atm and 200.0 K if its original volume was 300.0 L at 0.250 atm and 400.0 K?

5) At conditions of 785.0 torr of pressure and 15.0 °C temperature, a gas occupies a volume of 45.5 mL. What will be the volume of the same gas at 745.0 torr and 30.0 °C?

6) A sample of hydrogen has a volume of 65.0 ml at a pressure of 0.992 atm and a temperature of 16 °C. What volume will the hydrogen occupy at 0.984 atm and 25 °C? ANSWER KEY

1) A gas has a volume of 800.0 mL at -23.00 °C and 300.0 atm. What would the volume of the gas be at 227.0 °C and 600.0 atm of pressure? 800.0 mL

2) 500.0 liters of a gas are prepared at 700.0 atm and 200.0 °C. The gas is placed into a tank under high pressure. When the tank cools to 20.0 °C, the pressure of the gas is 300.0 atm. What is the volume of the gas? 722.7 L

3) What is the final volume of a 400.0 mL gas sample that is subjected to a temperature change from 22.0 °C to 30.0 °C and a pressure change from 760.0 atm to 360.0 atm? 867.3 mL

4) What is the volume of gas at 2.00 atm and 200.0 K if its original volume was 300.0 L at 0.250 atm and 400.0 K? 18.75 L

5) At conditions of 785.0 torr of pressure and 15.0 °C temperature, a gas occupies a volume of 45.5 mL. What will be the volume of the same gas at 745.0 torr and 30.0 °C? 50.4 mL

6) A sample of hydrogen has a volume of 65.0 ml at a pressure of 0.992 atm and a temperature of 16 °C. What volume will the hydrogen occupy at 0.984 atm and 25 °C? 67.6 mL 7) The volume of a gas originally at 4.690 atm and 410 K was recorded as 488.8 mL. What volume would the same gas occupy when subjected to a pressure of 100.0 atm and temperature of -245.0 °C? 1.57 mL

8) A gas sample occupies 3.25 liters at 24.5 °C and 1825 mm Hg. Determine the temperature at which the gas will occupy 4250 mL at 1150 mm Hg.

9) A student collects 450 mL of HCl (g) at a pressure of 100 kPa and a temperature of 17°C. What is the volume of the HCl at 0°C and 101.3 kPa? 428 mL

10) A gas balloon has a volume of 106.0 liters when the temperature is 45.0 °C and the pressure is 740.0 mm of mercury. What will its volume be at 20.0 °C and 780 .0 mm of mercury pressure?

11) If the absolute temperature of a given quantity of gas is doubled and the pressure tripled, what happens to the volume of the gas?

12) A scientist has a sample of gas that was collected several days earlier. The sample has a volume of 392 mL at a pressure of 0.987 atm and a temperature of 21°C. On the day the gas was collected, the temperature was 13°C and the pressure was 0.992 atm. What volume did the gas have on the day it was collected? 379 mL

13) A gas is heated from 263.0 K to 298.0 K and the volume is increased from 24.0 liters to 35.0 liters by moving a large piston within a cylinder. If the original pressure was 1.00 atm, what would the final pressure be?

14) The pressure of a gas is reduced from 1200.0 mm Hg to 850.0 mm Hg as the volume of its container is increased by moving a piston from 85.0 mL to 350.0 mL. What would the final temperature be if the original temperature was 90.0 °C?

15. A helium-filled balloon has a volume of 50.0 L at 25°C and 1.08 atm. What volume will it have at 0.855 atm and 10°C? 60 L He

16. The volume of a gas is 27.5 mL at 22.0°C and 0.974 atm. What will the volume be at 15.0°C and 0.993 atm? 26.3 mL

17. A sample of gas at 47°C and 1.03 atm occupies a volume of 2.20 L. What volume would this gas occupy at 107°C and 0.789 atm?

18. A 350 mL air sample collected at 35°C has a pressure of 550 torr. What pressure will the air exert if it is allowed to expand to 425 mL at 57°C?

19. A gas measures 1.75 L at -23°C and 150 kPa. At what temperature would the gas occupy 1.30 L at 210 kPa? 20. A sample of oxygen at 40°C occupies 820 mL. If this sample later occupies 1250 mL at 60°C and 1.40 atm, what was its original pressure?

Answers

1. 800 mL 2. 722.7 mL 3. 867.3 mL 4. 18.75 L 5. 50.4 mL 6. 67.6 mL