Thermodynamics Question 240

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. The same 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

Options:

A) 30 K

B) 18 K

C) 50 K

D) 42 K

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Answer:

Correct Answer: D

Solution:

[d]Q=nCp×30=n×7R2×30

and Q=n×5R2×ΔT

n×7R2×30=n×5R2×ΔT or ΔT=42K.



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