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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 work done by the ideal gas in the process `AB` is

A

zero

B

`(U_(1)-U_(0))/(2)`

C

`(U_(0)-U_(1))/(2)`

D

`(U_(0)-U_(1))/(2) log _(e)2`

Text Solution

Verified by Experts

The correct Answer is:
D
`W=RTlog_(e)(2V_(0))/(V_(0))=PVlog_(e)2=(U_(1)-U_(0))/(2) log_(e)2`
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