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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

`6 P_(0)V_(0)`

B

`-2P_(0)V_(0)`

C

`+2P_(0)V_(0)`

D

`+4P_(0)V_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Work done by the gas is equal to area of rectangle ABCDA, (figure).
`=ABxxBC= (2V_(0))P_(0)= 2P_(0)V_(0)`
As the trace is anticlockwise, this work is done on the gas.
`:.` Work done by the gas `= -2P_(0)V_(0)`
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