q) Three closed vessels A,B and C are at the same temperature T and contain gases which obey the Maxwellian distrubution of velocities. Vessel A contains only O₂, B only N₂ and C a mixture of equal quantities of O₂,and N₂. If the average speed of the O₂ molecules in vessel A is V₁,that of the N₂ molecules in vessel B is V₂, the average speed of O₂ molecules in vessel C is ...?

Mmix = 1/2[M1 + M2]    (where M is the molecular mass)

 

Mmix = 4RT/pi[1/v1^2 + 1/v2^2]

 

so average velocity of mixture is root(8RT/piMmix) 

 

root( (2 v1^2 v2^2)/(v1^2 + v2^2))

 

= v1v2(root(2/v1^2 + v2^2))