Name
Ideal & Dalton’s Gas Laws
Boyle’s Law:
Ideal Gas Law: PV = nRT
Charles’s Law:
Dalton’s law of Partial Pressure:
Ptotal = P1 + P2 + P3 + …
Combined Gas Law:
R = 0.08206 (L∙atm)/(K∙mol)
Remember: 1 atm = 760 mm Hg = 760 torr = 101.3kPa
Temperature: K = oC + 273
Solve the following problems using the above equations. Be sure to convert all temperatures to Kelvin!
1. What pressure will be exerted by 0.622 mol of gas contained in a 9.22cm3 vessel at 16oC?
2. How many moles of gas will occupy a 486 mL flask at 10oC and 66.7 kPa pressure?
3. What volume will be occupied by 0.684 mol of gas at 99.1 kPa and 9oC?
4. The partial pressure of helium is 13.5 kPa in a mixture of helium, oxygen, and methane gases. If the total
pressure is 96.4 kPa and the partial pressure of oxygen is 29.3 kPa, what is the partial pressure of the methane
gas?
5. A metal canister contains a mixture of neon, argon, and radon. The neon exerts a pressure of 0.42 atm, the
argon exerts a pressure of 0.18 atm, and the total pressure in the container is 1.30 atm. What is the pressure
exerted by the radon gas?
6. A 1.00 L pressurized gas cylinder contains a mixture of oxygen and nitrogen. The partial pressure of oxygen
is 425 torr and the partial pressure of nitrogen is 325 torr. What is the total pressure of the mixture?
7. At what temperature is a gas if 0.0851 mol of it are found in a 604 cm3 vessel at 100.4 kPa?
8. What is the volume of nitrogen in a cylinder under 3,800 mm Hg of pressure at 23oC (given 30.0 g of
nitrogen)
9. A 500 mL sample of a gas at a temperature of 23oC exerts a pressure of exactly 1 atm. What pressure does
the gas exert when the volume increases to 800 mL and the temperature decreases to 85oC?
10. A given mass of oxygen occupies 560 mL when the pressure is 800 mm Hg. What volume will the gas
occupy at 700 mm Hg, provided the temperature remains constant?
11. A gas has a volume of 91 mL at a temperature of 910C. If the temperature is reduced to 0oC and the
pressure remains constant, what will be the new volume of the gas?
12. A 1.00 L pressurized gas cylinder contains a mixture of oxygen and nitrogen. When the temperature is
25oC, the partial pressure of oxygen is 4.5 atm and the partial pressure of nitrogen is 3.5 atm. What is the total
pressure in the container at 150oC? (Hint: Uses 2 Gas Laws!)