Motor volume is occupied 1 mole of any (ideal) gas at standard temperature and pressure. Show that it is 22.4 litres.

Explanation

The ideal gas equation relating pressure (P), volume (V), and absolute temperature (T) is given as: PV = nRT, where R is the universal gas constant = `8.314Jmol^(-1)K^(-1)`
n = Number of moles = 1
T = Standard temperature = 273 K
P = Standard pressure = 1 atm = `1.013xx10^(5)Nm^(-2)`
`therefore V=(nRT)/(P)=(1xx8.314xx273)/(1.013xx10^(5))=(2269.7)/(1.013)xx10^(-5)`
`=0.0224m^(3)=22.4` litres
Hence, the molar volume of gas at STP is 22.4 litres.