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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
In both cylinder `A` and `B` the gases are diatomic process. Piston `B` is fixed i.e. It is isochoric process. If same amount of heat `DeltaQ` is given to both then
`(DeltaQ)_("isobaric") = (DeltaQ)_("isochoric") implies muC_(P)(DeltaT)_(A)`
`muC_(V)(DeltaT)_(B)`
`(DeltaT)_(B)=(C_P)/(C_V) (DeltaT)_(A)=gamma(DeltaT)_(A)`
`=1.4xx30=42K`.
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