Boyle’s Law (P1V1 = P2V2)
1. A sample of oxygen gas occupies 10.0 L at a pressure of 101.3 kPa. What will its volume be if the pressure is increased to 202.6 kPa?
2. A gas has a volume of 500 mL at 0.95 atm. What is the pressure (in atm) if the volume is compressed to 125 mL?
3. A balloon is filled with 2.5 L of air at sea level (101.3 kPa). If it rises to 75.0 kPa, what is the new volume?
4. If a gas at 3.0 atm is compressed from 4.0 L to 1.5 L, what is the final pressure?
5. A syringe contains 60.0 mL of gas at 100.0 kPa. To what volume must the gas be expanded to reach 40.0 kPa?
6. A diver exhales a 20.0 mL bubble at a depth where the pressure is 3.5 atm. What is the volume of the bubble when it reaches the surface (1.0 atm)?
7. A 2.0 L tank of helium is at a pressure of 15,000 kPa. If this gas is transferred to a 12.0 L tank, what is the new pressure?
8. A gas sample at 800 mmHg occupies 300 mL. If the pressure is reduced to 600 mmHg, what is the new volume?
9. A 5.0 L container holds nitrogen at 2.5 atm. If the volume is changed so that the pressure becomes 1.25 atm, what is the new volume?
10. If the volume of a gas is tripled, what happens to the pressure? Show the mathematical relationship.
Charles’ Law (V1/T1 = V2/T2)
11. A sample of neon gas occupies 2.0 L at 293 K. What will be its volume at 350 K?
12. A balloon has a volume of 1.5 L at 25°C. What is its volume if placed in a freezer at -10°C?
13. A gas occupies 5.0 L at 100°C. At what temperature (in °C) will the volume be 2.5 L?
14. If a 450 mL sample of gas at 273 K is heated to 546 K, what is the new volume?
15. A container holds 12.0 L of gas at 50°C. If the volume expands to 18.0 L, what is the new temperature in Celsius?
16. A gas at 20°C has a volume of 0.75 L. To what temperature must it be heated to double its volume?
17. A sample of hydrogen occupies 100 mL at 27°C. What is its volume at 127°C?
18. At 0°C, a gas has a volume of 25.0 L. If the volume decreases to 20.0 L, what is the new temperature in Kelvin?
19. A 2.2 L balloon at 300 K is moved to an environment at 250 K. What is the new volume?
20. A gas sample occupies 8.0 L at 27°C. What volume will it occupy at 227°C?
Ideal Gas Law (PV = nRT)
21. How many moles of gas are in a 5.0 L flask at 200 kPa and 30°C?
22. What is the pressure (in kPa) exerted by 0.50 moles of CO2 in a 10.0 L container at 25°C?
23. What volume will 2.5 moles of nitrogen occupy at 1.2 atm and 310 K?
24. A 2.0 L bottle contains 0.40 moles of gas at 5.0 atm. What is the temperature in Kelvin?
25. Find the mass of oxygen (O2) in a 15.0 L tank at 150 kPa and 27°C. (Molar mass O2 = 32.0 g/mol).
26. A 500 mL flask is filled with 0.15 moles of helium at 22°C. What is the pressure in atm?
27. Calculate the moles of gas in a 25.0 L container at STP (273 K and 101.3 kPa).
28. What is the temperature (in °C) of 1.2 moles of gas that occupies 20.0 L at 1.5 atm?
29. A gas sample has a mass of 10.0 g and occupies 4.0 L at 2.0 atm and 300 K. What is its molar mass?
30. How many moles of gas are in a 0.25 L container at 10.0 kPa and 150 K?
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Answer Key
5.0 L
3.8 atm
3.38 L
8.0 atm
150.0 mL
70.0 mL
2,500 kPa
400 mL
10.0 L
P2 = 1/3 P1
2.39 L
1.32 L
-86.5°C
900 mL
211.5°C
313°C
133.3 mL
218.4 K
1.83 L
13.3 L
0.40 mol
123.9 kPa
53.0 L
304.5 K
28.9 g
7.26 atm
1.11 mol
31.6°C
30.8 g/mol
0.002 mol
