Kinetic Theory

Question : 2

Total: 14

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=8.31J mol−1 K−1
T=0°C=273 K;n=1 ‌mole
P=1 ‌atm=0.76 of Hg column =0.76×13.6×103×9.8=1.013×105Nm−2
To prove V=22.4 litre
∴ Using ideal gas equation PV=nRT
V=

nRT

;
V=

1×8.31×273

1.013×105

=22.4×10−3m3
=22.4 litres.

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