Question

In: Physics

Kinetic theory of gases

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.

Solutions

Expert Solution

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 = 8.314 J mol-1K-1

 

n = Number of moles = 1

 

T = Standard temperature = 273 K

 

P = Standard pressure = 1 atm = 1.013 x 105Nm-2

 

Hence,

 

V = nRT / P

 

= 1 x 8.314 x 273 / 1.013 x 105

 

= 0.0224 m3

 

= 22.4 litres

 

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


The molar volume of a gas at STP is 22.4 litres.

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