Molar volume is the volume occupied by 1 mole of any (ideal) gas at standard temperature and pressure (STP : 1 atmospheric pressure , `0^(@)C`) . Show that it is 22.4 litres.

Explanation

For one mole of an ideal gas, PV = RT
`:. V = (RT)/P`
Put `R = 8.31 J "mole"^(-1)K^(-1), T = 273 K`
`P = 1` atmosphere = `1.013 xx 10^(5) Nm^(-2)`
`V = (8.31 xx 273)/(1.013xx10^(5)) = 0.0224m^(3)`
`= 0.0224 xx 10^(6) c c = 22400 c c = 22.4` litre.