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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

`30 K`

B

`18 K`

C

`50 K`

D

`42 K`

Text Solution

Verified by Experts

For cylinder `A : dQ=nC_(p)dT`
For cylinder `B : dQ=nC_(v)dT`
`rArr nC_(p)dT=nC_(v)dT`
`:. dT=(C_(p)xx30)/(C_(v))=30xx1.4=42K`
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