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

One mole of an ideal gas has an interal 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 gas must be

A

2 R

B

3 R

C

`(5)/(2) R`

D

` 4 R`

Text Solution

Verified by Experts

The correct Answer is:
B
Given relation for internal energy is
`U = U _(0) + 2 PV.`
For this cyclic process change in internal energy is given by
`Delta U = 2 Delta (PV) = 2 R Delta T`
`implies C _(V) = 2 R`
`implies C _(p) = C _(V) + R = 3 R`
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