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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

18K

C

50K

D

42K

Text Solution

Verified by Experts

The correct Answer is:
D
`Q_A=Q_B`
`nC_pDeltaT_A=nC_VDeltaT_B`
`:.` `DeltaT_B=(C_p)/(C_V)*DeltaT_A=gammaDeltaT_A`
`=(1.4)(30)=42K`
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