Login/Sign Up
Home » Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, Show that it is litres.
Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, \left.0{ }^{\circ} \mathbf{C}\right) . Show that it is 22.4 litres.
CBSE | Class 11 | Kinetic Theory | NCERT | Physics
Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, \left.0{ }^{\circ} \mathbf{C}\right) . Show that it is 22.4 litres.

We know,

The ideal gas equation is given as: P V=n R T

Where,

R is the universal gas constant having value 8.314 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}

\mathrm{n} is the number of moles having value 1

\mathrm{~T} is the standard temperature having value 273 \mathrm{~K}

\mathrm{P} is the standard pressure having value
1 \mathrm{~atm}=1.013 \times 10^{5} \mathrm{Nm}^{-2}

So we have,

V=n R T / P
=1 \times 8.314 \times 273 / 1.013 \times 10^{5}
=0.0224 \mathrm{~m}^{3}
=22.4 litres

As a result, the molar volume of a gas at STP is 22.4 litres

i

More Material