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Q.

The relation between internal energy U, pressure P and volume V of a gas in an adiabatic process is U = a+bPV, where a and b are positive constants. What is the value of  γ?

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a

a+1a

b

b+1b

c

ba

d

ab

answer is B.

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Detailed Solution

as U = a+bPV

differentiating both the side

du = d(a) +d(bPV)

du = 0+bd(PV)

du = bnRdT

comparing with du=f2nRdT

  f2=b   and γ=2+ff

solving γ=1+bb

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