The Ideal Gas Law

The ideal gas law relates the variables of pressure, volume, temperature, and number of moles of gas within a closed system.

The ideal gas law takes the form:

PV = nRT

P = Pressure of the confined gas in atmospheres

V = Volume of the confined gas, in liters

n = Number of moles of gas

R = Gas Constant, 0.0821 L·atm/mol·K

T = Temperature in Kelvin

What is the pressure exerted by 5.00 moles of nitrogen gas contained in a 30.0 Liter container at 25.0 °C?
1. 4.08 atm
2. 3670 atm
3. 0.245 atm
4. 605 atm
At 17 °C, a 0.80 mole sample of a gas exerts a pressure of 1.2 atmospheres. What is the volume of the container?
1. 15.9 Liters
2. 22.9 Liters
3. 2355 Liters
4. 0.0630 Liters
At what temperature (in Kelvin) would 4.0 moles of hydrogen gas in a 100 liter container exert a pressure of 1.00 atmospheres?
1. 304.5 K
2. 0.487 K
3. 32.8 K
4. 0.0305
How many moles of oxygen must be placed in a 3.00 liter container in order to exert a pressure of 2.00 atmospheres at 25 °C?
1. 0.245 moles
2. 146.8 moles
3. 21778 moles
4. 4.08 moles
A 500 mL metal cylinder holding 0.100 moles of helium gas is known to rupture at a pressure of 10 atmospheres. At what temperature, in °C, will the container fail?
1. 336 °C
2. 608 740 °C
3. - 272.4°C
4. 609 °C
An 18 liter container holds 16.00 grams of oxygen gas (O₂) at 45 °C. What is the pressure in the container?
1. 0.725 atm
2. 23.2 atm
3. 1.45 atm
4. 11.0 atm
A 4.0 liter container has two gases inside, neon and argon. It is known that at 18 °C, the total pressure of the combined gases is 0.850 atm. If it is known that there are 0.100 moles of neon in the container, how many moles of argon are in the container?
1. 0.042 moles argon
2. 0.142 moles
3. 6.93 moles
4. 4.98 moles
A 15.50 gram sample of a gas exerts a pressure of 1.40 atmospheres when held in an 8.00 liter at 22 °C. What is the molar mass of the gas?
1. 33.5 g/mol
2. 0.0298 g/mol
3. 6.57 g/mol
4. 62.2 g/mol
When 0.250 moles of a gas is placed in a container at 25 °C, it exerts a pressure of 700 mm Hg. What is the volume of the container?
1. 6.57 liters
2. 0.0087 liters
3. 0.557 liters
4. 8.74 liters
A 7.50 liter sealed jar at 18 °C contains 0.125 moles of oxygen and 0.125 moles of nitrogen gas. What is the pressure in the container?
1. 0.796 atm
2. 0.398 atm
3. 7.38 atm
4. 0.684 liters