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Q.

Two cylinders A and B fitted with pistons contain equal amounts of an ideal diatomic gas at 300 K. Piston A is free to move and piston of B is fixed. Same amount of heat is given to the gases in the two cylinders. Temperature of the gas in cylinder A increases by 30 K, then increase in temperature of the gas in the cylinder B is ( γ = 14 for diatomic gas) [EAMCET 2013]

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a

24 K

b

36 K

c

54 K

d

42 K

answer is D.

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Detailed Solution

We know that,  dQ=nCpdTA=nCVdTB∵  nCpdTA=nCVdTB⇒ CpCV=dTBdTA⇒ γ=dTBdTA              ∵γ=CpCV⇒ dTB=γdTA=1.4×30=42K
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