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Question

Two cylinders fitted with pistons contain equal amount of an ideal diatomic gas at 300 K. The piston of A is free to move, while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of gas in B is

A
30 K
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B
18 K
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C
50 K
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D
42 K
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Solution

The correct option is D 42 K
Process in cylinder A is constant pressure process.
Process in cylinder B is constant volume process.
Heat supplied is :
Q=nCpΔT1
Q=nCvΔT2
CpCv=ΔT2ΔT1=γ
For a monoatomic gas is
γ=75
Hence T2=75×30=42K
Option D is correct.

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