Question

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. `10K`
C. `50K`
D. `42K`

Answer 1

Correct Answer - D
For constant pressure process `Q`
= `nC_(p)DeltaT= 30nC_(p)`
For constant volume process `Q`
= `nC_(V)DeltaT = n((5)/(7) C_(p)) DeltaT implies DeltaT = 42 ^(@)C = 42K`