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The relation between internal energy U, ...

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 constants. What is the effective value of adiabatic constant `gamma` ?

A

`(a)/(b)`

B

`(b+1)/(b)`

C

`(a+1)/(a)`

D

`(b)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
B
`U=a+bPV,` But PV=RT
`C_(V)=(dU)/(dT): C_(P)=C_(V)+R, gamma=(C_(P))/(C_(V))`
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