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One mole of an ideal gas has an internal...

One mole of an ideal gas has an internal energy given by `U=U_(0)+2PV` , where `P` is the pressure and `V` the volume of the gas. `U_(0)` is a constant. This gas undergoes the quasi`-` static cyclic process `ABCD` as shown in the `U-V` diagram. The molar heat capacity of the gas at constant pressure is

A

`2R`

B

`3R`

C

`(5)/(2)R`

D

`4R`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaU=2 Delta(P V)=2 R DeltaT`
`implies C_(V)=2R`
`implies C_(P)=3R`
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