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

Two cylinders A and B fitted with pistons contain equal amounts of an

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. `30 K`B. `18 K`C. `50 K`D. `42 K`
Answer» 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`