Question

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities.Vessel A contains only 0₂,B only N₂ and C a mixture of equal quantities of 0₂ and N₂. If the average speed of the 0₂ molecules in vessel A is V1 that of the N₂ molecules in vessel B is v₂, the average speed of the 0₂ molecules in vessel C is Where M is the mass of an oxygen molecule

Answer 1

According to Maxwells distribution of speeds, the average speed of molecules of a gas is given by

v=√8kT/mπ.

Thus average velocity depends only on the temperature and molecular weight of the gas. 

Average velocity will be same for O₂ in both of the vessels.

So, in the mixture also, the oxygen molecules will have the same average velocity in vessel C i.e v₁