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Question

Figure shows a vessel partitioned by a fixed diathermic separation. Different ideal gases are filled in the two parts. The rms speed of the molecules in the left pat equals the mean speed of the molecules in the right part. Calculate the ratio of the mass of a molecule in the left part to the mass of a molecule in the right part.

A
3π8
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B
5π8
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C
7π8
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D
9π8
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Solution

The correct option is A 3π8
Let M1 and M2 be the molecular masses.
Temperature on both sides are same (diathermic wall)
(Vrms)1=(Vav)2
3RTM1=8RTπM2M1M2=3π8

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