Ncert Exercises & Solutions

13.2 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.

Given:

n = Number of moles = 1

At STP,

T = Standard temperature = 273 K

P = Standard pressure = 1 atm = 1.013 × $10^{5}$ N $m^{- 2}$

The ideal gas equation is:

PV = nRT

Where R = 8.314 J mo $l^{- 1} k^{- 1}$

$V = \frac{nRT}{P}$

$= \frac{1 \times 8.314 \times 273}{1.013 \times 10^{5}}$

= 0.0224 $m^{3}$

= 22.4 litres

Hence, the molar volume of an ideal gas at STP is 22.4 litres.

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