# Lesson Worksheet: The Ideal Gas Law in terms of Number of Moles Physics

In this worksheet, we will practice calculating the relationship between the number of moles in an ideal gas and the values of its bulk properties.

**Q1: **

A cloud of gas has a pressure of 220 kPa and a temperature
of 440 K. The gas contains
8.2 moles of a particle with a molar mass of
10.5 g/mol.
Find the volume of the cloud. Use 8.31 m^{2}⋅kg/s^{2}⋅K⋅mol for the value
of the molar gas constant. Give your answer to two decimal places.

**Q2: **

A gas consisting of 25.6 moles of carbon fills a volume of
0.128 m^{3} and has a pressure of 135 kPa.
Find the temperature of the
gas. Use a value of 12.0107 g/mol for the molar mass of carbon and
8.31 m^{2}⋅kg/s^{2}⋅K⋅mol
for the value of the molar gas constant. Give your answer to the nearest kelvin.

**Q3: **

A gas cylinder with a volume of 0.245 m^{3}
contains
a gas at a temperature of 350 K
and a pressure of 120 kPa.
Find the number of
moles of the gas particles in the cylinder. Use
8.31 m^{2}⋅kg/s^{2}⋅K⋅mol
for the value of the molar gas constant. Give your answer to one decimal place.

**Q4: **

A container of volume 0.225 m^{3}
holds 2.24 moles
of oxygen gas at a temperature of 320 K.
Find the
pressure on the container’s interior surfaces. Use a value of
8.31 m^{2}⋅kg/s^{2}⋅K⋅mol for the
value of the molar gas constant. Give your answer to one decimal place.

**Q5: **

Which of the following formulae is the ideal gas law, where is the pressure of the gas, is the volume of the gas, is the absolute temperature of the gas, is the number of moles of the gas, and is the molar gas constant?

- A
- B
- C
- D
- E

**Q6: **

For an ideal gas, for the volume and temperature of the gas to remain constant, if the number of moles of the gas is increased by a factor of 2, by what factor must the pressure of the gas change?

**Q7: **

For an ideal gas, for the pressure and temperature of the gas to remain constant, if the number of moles of the gas is increased by a factor of 3, by what factor must the volume of the gas change?

**Q8: **

For an ideal gas, for the pressure and volume of the gas to remain constant, if the number of moles of the gas is increased by a factor of 4, by what factor must the temperature of the gas change?

- A
- B
- C2
- D16
- E4

**Q9: **

For an ideal gas where the pressure and temperature are held constant, which of the following is the correct proportionality relation between the volume, , of the gas, and the number of moles, ?

- A
- B
- C
- D
- E

**Q10: **

For an ideal gas where the pressure and volume are held constant, which of the following is the correct proportionality relation between the temperature, , of the gas, and the number of moles, ?

- A
- B
- C
- D
- E