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An ideal gas undergoes cyclic process AB...

An ideal gas undergoes cyclic process `ABCDA` as shown in givend `p-V` diagram. The amount of work done by the gas is

A

`6p_(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
Consider the `p-V` diagram given in the question.
Work done in the process ABCD = area of ractangle `ABCDA`
`=(AB)xxBC=(3V_(0)-V_(0))xx(2p_(0)-p_(0))`
`=2V_(0)xxp_(0)=2 p_(0)V_(0)`
As the process is going anti-clockwise, hence there is a net compression in the gas. ltBrgt So, work done by the gas = -2 `p_(0)V_(0)`.
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