Three closed vessels A,B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. The 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 N2 molecules in vessel B is V2 and that of oxygen molecules in A is V1, the average speed of N2 molecules in C is? A

Three closed vessels A,B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. The 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 N2 molecules in vessel B is V2 and that of oxygen molecules in A is V1, the average speed of N2 molecules in C is?
(A)(V1+V2)2

(B)(V1V2)12

(C)V2

(D)√3KT/M

Solution=
As we know,
Vavg=√8RT/Πm,

All the kinetic energy of gas depends upon the temp. of vessel that is same for all vessels

∴Vavg of N2 in vessel B=Vavg of N2 in vessel C=V2