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Q.

Helium gas is subjected to a polytropic process in which the heat supplied to the gas is four times the work done by it. The molar heat capacity of the gas for the process is: (R is universal gas constant)

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a

R

b

R2

c

2R

d

3R

answer is C.

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Detailed Solution

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Given, ∆Q = 4∆W

But, ∆W = ∆U = ∆Q

∴ ∆U = 3∆W = 34∆Q

⇒nCv∆T = 34nC∆T or, C = 43Cv = 43[3R2] = 2R

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