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Two cylinders fitted with pistons contain equal amount of an ideal diatomic gas at 300K. 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 30K, then the rise in temperature of gas B is

A

`30K`

B

`18K`

C

`50K`

D

`42K`

Text Solution

Verified by Experts

The correct Answer is:
D
For `A : Q = nC_(P)DeltaT = (nC_(P))(30)`
For `B : Q = nC_(V)DeltaT = nC_(V)DeltaT = nC_(P)(30)`
`implies DeltaT= (30) ((C_(P))/(C_(V))) = 30 xx (7)/(5) = 42K`
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