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One mole of an ideal monoatomic gas unde...

One mole of an ideal monoatomic gas undergoes a cyclic process as shown in figure . Temperature at point `1` =`300K` and process `2-3` is isothermal .
.
Net work done by gas in complete cycle is

A

`(9ln3 +12)P_(0)V_(0)`

B

`(9ln3+4)P_(0)V_(0)`

C

`(9ln3-4)P_(0)V_(0)`

D

`(9ln3 - 8)P_(0)V_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
`W = W_(12) + W_(23) + W_(31) = (1)/(2)(4P_(0)) (2V_(0)) + "n"RT"ln"(3) - P_(0) (8V_(0)) = -4P_(0)V_(0) + 9 P_(0)V_(0)ln3 = (9ln3-4)P_(0)V_(0)`
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