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Two cylinders A and B fitted with piston...

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300K. The piston of A is free to move, while that 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 the gas in B is

A

`30K`

B

`10K`

C

`50K`

D

`42K`

Text Solution

Verified by Experts

The correct Answer is:
D
For constant pressure process `Q`
= `nC_(p)DeltaT= 30nC_(p)`
For constant volume process `Q`
= `nC_(V)DeltaT = n((5)/(7) C_(p)) DeltaT implies DeltaT = 42 ^(@)C = 42K`
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