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n moles of an ideal gas undergo a process in which the temperature changes with volume as `T=kv^(2)`. The work done by the gas as the temperature changes from `T_(0)` to `4T_(0)` is

A

`3nRT_(0)`

B

`(5//2)nRT_(0)`

C

`(3//2)nRT_(0)`

D

zero

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The correct Answer is:
C
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