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An ideal gas underoges cyclic process of...

An ideal gas underoges cyclic process of ABCDA as shown in Given `P-V` diagram (figure)

The amount of work done by the gas is

A

6PoVo

B

`-2PoVo`

C

`+2 PoVo`

D

`+4 PoVo`

Text Solution

Verified by Experts

The correct Answer is:
B
Consider the p-V diagram given in the question. Work done in the process ABCD=-area of reactangle ABCDA.
`(AB)xxBC=(3V_(0)-V_(0))xx(2P_(0)-P_(0))`
`=2V_(0)xxP_(0)=2P_(0)V_(0)`
As the process is going anit -clockwise, hence there is a net compression in the gas, So, work done by the gas `=-2P_(0)V_(0)`
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