ThermodynamicsHard

Question

Three closed vessels A, B and C at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contain 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 vessels B is v2, the average speed of O2 molecules in vessel C is

Options

A.(v1 + v2) /2
B.v1
C.(v1 v2)1/2
D.

Solution

The average speed of molecules of an ideal gas is given by
i.e., < v > ∝ √T for same gas
Since, temperature of A and C are same, average speed of O2 molecules will be equal in A and C i.e., v1∴ Correct option is (b).

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