Molar volume is the volume occupied by 1 mol ...

Kinetic Theory

Question : 2 of 14

Marks: +1, -0

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

Solution:

Here,

R = 8.31 \,\mathrm{J} \,\mathrm{mol}^{-1} \,\mathrm{K}^{-1}

T = 0^{\circ}\mathrm{C} = 273 \,\mathrm{K}; n = 1 \,\mathrm{mole}

P = 1 \,\mathrm{atm} = 0.76

\mathrm{Hg}

column

= 0.76 \times 13.6 \times 10^{3} \times 9.8 = 1.013 \times 10^{5} \,\mathrm{Nm}^{-2}

To prove

V = 22.4

litre

\therefore

Using ideal gas equation

P V = n R T

V = \frac{n R T}{P} ;

V = \frac{1 \times 8.31 \times 273}{1.013 \times 10^{5}}

= 22.4 \times 10^{-3} \,\mathrm{m}^{3}

= 22.4

litres.

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