First slide

Specific heat

Question

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. The piston of A is free to move while that of B is held fixed: Some amount of
heat is given to the gas in each cylinder. If the rise in temperature of the gas in A is 30 K, then the rise in temperature of the gas in B is:

Easy

A

18 K
B

42 K
C

30 K
D

50 K

Solution

$∆ Q_{A} = {nC}_{P} {(∆ T)}_{A} and ∆ Q_{B} = {nC}_{V} {(∆ T)}_{B} According to question ∆ Q_{A} = ∆ Q_{B} \Rightarrow C_{V} {(∆ T)}_{B} = C_{P} ∆ T_{A} ∆ T_{B} = 42 K$

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