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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 

a
2
b
-2
c
-1
d
1

detailed solution

Correct option is C

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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An ideal gas undergoes a process in which PVa= constant, where Vis the volume occupied by the gas initially at pressure P. At the end of the process, rms speed of gas molecules has become a1/2 times of its initial value. What will be the value of CV so that energy transferred by the heat to the gas is 'a'times of the initial energy (ΔQ=aPV)


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