Molar volume of a gas

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The volume of a gas is sensitive to both pressure and temperature. Because a gas is easily compressible, by adjusting the pressure and temperature of a gas sample, the volume that the gas sample occupies can be altered. Therefore, if the volumes of any two gas samples are to be compared, they must be under the same conditions (ie - the two gas samples MUST be at the same temperature and pressure).

A common set of conditions that is often used by scientists is called Standard Temperature and Pressure or STP. When the STP condition is implied, scientists know that the gas must be at a specific temperature and a specific pressure. The conditions used for reference are:

  • standard temperature is 273 K (or 0oC).
  • standard pressure is 1 atm (760 torr)

Gas densities at STP

For any gas at STP, when the molar mass of the gas is divided by the density of the gas, the value "22.4" is always obtained. Take a look at the "special" number, "22.4".

Molarvolume.gif

Or,

 density of a gas = molar mass / molar volume
Gas Molar Mass
(g/mole)
Density at STP
(g/L)
Molar Mass/Density
(L/mole)
N2, nitrogen gas 28.014 1.25 22.4
O2, oxygen gas 31.998 1.43 22.4
CH4, methane gas 16.043 0.714 22.4
CO2, carbon dioxide 44.009 1.96 22.4
H2, hydrogen gas 2.015 0.090 22.4
Ar, argon gas 39.948 1.78 22.4

The molar volume of any gas at STP is 22.4 L.

The unit of 22.4 is L/mole.

Molar volume calculations

Using conversion factors, we can solve questions involving conversion:

from moles of gas to volume occupied at STP Reactionarrow.gif × 22.4 L/mole
from volume occupied at STP to moles of gas Reactionarrow.gif ÷ 22.4 L/mole

External link

How to calculate gas density from the molar volume under STP conditions.

Content suitability

BCIT courses: CHEM 0011