Molar Volume

Chemistry: Cambridge International A Level, topic 1.1.6

Molar Calculations of Gases

We can also calculate the number of moles of a gas. It is difficult to measure the mass or the concentration of a gas so we must use another equation.

Avogadro's Law

Avogadro's Law

  • The equation is based upon Avogadro's Law:
  • Avogadro's Law says that at the same temperature and pressure, one mole of two different gases will be the same volume.
  • So, regardless of what the gas is, one mole of a gas will always be a particular volume at a specific temperature and pressure.
Room temperature and pressure

Room temperature and pressure

  • At room temperature and pressure, 24 dm3 is the volume taken up by one mole of any gas.
The equation for moles in a gas

The equation for moles in a gas

  • This leads to the equation:
  • Number of moles of a gas = volume of the gas ÷ 24
  • This equation is only true if:
  • The volume is measured in dm3.
  • The gas is at room temperature and pressure.
The equation for volume of a gas

The equation for volume of a gas

  • Another form of this equation gives the equation
  • Volume of a gas = moles of the gas × 24
  • This equation volume calculated:
  • Is in dm3.
  • Is correct at room temperature and pressure.
Converting the equation

Converting the equation

  • A useful conversion for this equation is:
  • 1 m3 = 1,000 dm3
  • Alternatively, we can use the converted equation:
  • Number of moles of a gas = volume of the gas ÷ 24,000
  • Volume of a gas = number of moles of the gas × 24,000
  • This is true for the volume in cm3.

Test yourself on Molar Volume

  • At room temperature and pressure, what volume is taken up by one mole of a gas?

  • How do we calculate the number of moles of a gas at room temperature and pressure?

  • What is the equation for the volume of a gas at room temperature and pressure?

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