Question

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​

Answer 1

Given,

• Number of moles (n) = 1 mol
• Standard Pressure (P) = 1 atm ⟶ 1.013 × 10^5 N/m²
• Standard temperature (T) = 273 K
• Constant (R) = 8.314 J/mol.K

To Find,

• The molar volume of a gas at standard temperature and pressure is 22.4 liters.

Acceding to the question,

Applying ideal gas equation ;

PV = nRT

[ Put the values ]

⟶ 1.013 × 10^5 × V = 1 × 8.314 × 273

⟶ 1.013 × 10^5 × V = 2269.722

⟶ V = 2269.722/1.013 × 10^5

⟶ V = 22.4 liter

Therefore,

It is proved that the molar volume of a gas at standard temperature and pressure is 22.4 liters.