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 m2⋅kg/s2⋅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 m3 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 m2⋅kg/s2⋅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 m3 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 m2⋅kg/s2⋅K⋅mol for the value of the molar gas constant. Give your answer to one decimal place.

Q4:

A container of volume 0.225 m3 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 m2⋅kg/s2⋅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 𝑃 is the pressure of the gas, 𝑉 is the volume of the gas, 𝑇 is the absolute temperature of the gas, 𝑛 is the number of moles of the gas, and 𝑅 is the molar gas constant?

  • A𝑅=𝑃𝑉𝑇𝑛
  • B𝑃𝑉=𝑛𝑅𝑇
  • C𝑉𝑇=𝑛𝑅𝑃
  • D𝑃𝑇=𝑛𝑅𝑉
  • E𝑃𝑉𝑇=𝑛𝑅

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?

  • A14
  • B12
  • 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, 𝑉, of the gas, and the number of moles, 𝑛?

  • A𝑉1𝑛
  • B𝑉𝑛
  • C𝑉𝑛
  • D𝑉1𝑛
  • E𝑉𝑛

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, 𝑇, of the gas, and the number of moles, 𝑛?

  • A𝑇𝑛
  • B𝑇𝑛
  • C𝑇1𝑛
  • D𝑇𝑛
  • E𝑇1𝑛

This lesson includes 15 additional questions for subscribers.

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