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Question

Three closed vessels A, B and C are at the same temperature T and contains gases which obey the Maxwellian distribution 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, then the average speed of the O2 molecules in vessel C is (where M is the mass of an oxygen molecule)


  1. (V1+V2)/2

  2. V1

  3. (V1V2)1/2

  4. kTM


Solution

The correct option is B

V1


Average speed of gas molecules, 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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