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Q.

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 O2 molecules in vessel A is V1 that of the N2 molecules in vessel B is V2 the average speed of the O2 molecules in vessel C is (where M is the mass of an oxygen molecule)

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a

(V1+V2)2

b

V1

c

(V1V2)12

d

3kTM

answer is B.

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Detailed Solution

Average speed of gas molecule vav = 8kTπm. It depends on temperature and molecular mass. So the average speed of oxygen will be same in vessel A and vessel C and that is equal to V1.
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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 O2 molecules in vessel A is V1 that of the N2 molecules in vessel B is V2 the average speed of the O2 molecules in vessel C is (where M is the mass of an oxygen molecule)