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Q.

An ideal gas with  γ=4/3 undergoes a process in which internal energy is related to volume as U=V2, then PVx then x is equal to

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a

2

b

-2

c

-1

d

1

answer is C.

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Detailed Solution

given U=V2; we know U=nRTγ−1 substitute in given relationnRTγ−1=V2⇒PV43−1=V2⇒P α V⇒PV−1= constant compare with PVx=constant⇒x=−1;given γ=43substitute in C=Rγ−1+R1−xC=R43−1+R1−(−1)=3R+0.5R C=3.5R
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