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Q.

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 ofheat 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:

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a

18 K

b

42 K

c

30 K

d

50 K

answer is B.

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Detailed Solution

∆QA=nCP(∆T)A and ∆QB=nCV(∆T)B According to question ∆QA=∆QB ⇒ CV (∆T)B=CP∆TA ∆TB=42 K

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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 ofheat 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: