1.

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 isA. `30K`B. `18K`C. `50K`D. `42K`

Answer» Correct Answer - D
In cylinder `A`, heat is supplied at constant pressure while in cylinder `B` heat is supplied at constant volume.
`(DeltaQ)_(A)=nC_(p)(DeltaT)_(A)`
and `(DeltaQ)_(B)=nC_(v)(DeltaT)_(B)`
Given that `(DeltaQ)_(A)=(DeltaQ)_(B)`
`:. (DeltaT)_(B) = (C_p)/(C_v)(DeltaT)_(A) = (1.4)(30)=42K`.


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