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. (a) 30K
B. (b) 18K
C. (c) 50K
D. (d) 42K

Answer 1

Correct Answer - D
`Q_A=Q_B`
`nC_pDeltaT_A=nC_VDeltaT_B`
`:.` `DeltaT_B=(C_p)/(C_V)*DeltaT_A=gammaDeltaT_A`
`=(1.4)(30)=42K`