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Two moles of a gas is expanded to double...

Two moles of a gas is expanded to double its volume by two different processes. One is isobaric and the other is isothermal. If `W_(1)` and `W_(2)` are the works done respectively them

A

`w_(2)=(w_1)/(ln2)`

B

`w_2 =w_1`

C

`w_2=w_(2) ln2`

D

`w_(1)^(2)=w_(2) ln2`

Text Solution

Verified by Experts

The correct Answer is:
C
`w_(1)=p(2v-v)=pv`
`w_2= n RT log_(e)((v_2)/(v_1))`
`= n RT log_(e) [(2v)/(v)]`
`pv log_(2)[pv= n RT]`
`w_2=w_1 log_(e) (2)`.
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