|Class 11 Physics Kinetic Theory||Justification of the Avogadros hypothesis|
Justification of the Avogadro’s hypothesis from equation of gas
Problem:- Molar volume is the volume occupied by 1 mole of any (ideal) gas at standard temperatureand pressure (STP: 1 atmospheric pressure, 0 °C). Show that it is 22.4 litres.
Answer:- 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–1 K–1
n = Number of moles = 1
T = Standard temperature = 273 K
P = Standard pressure = 1 atm = 1.013 × 105 Nm–2
= 0.0224 m3
= 22.4 litres
Hence, the molar volume of a gas at STP is 22.4 litres.