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n moles of a gas are filled in a contain...

n moles of a gas are filled in a container at temperature T. If the gas is slowly and isothermally compressed to half its initial volume, the work done by the atmosphere on the gas is

A

`(nRT)/(2)`

B

`-(nRT)/(2)`

C

`nRT In 2`

D

`-nRT In 2`

Text Solution

Verified by Experts

The correct Answer is:
C
`W_(gas)=nRT In ((V_f)/(V_i))=nRT In (1/2)`
`=-nRT In 2`
`:.` Work done on the gas `=+nRT In 2`
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