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The change is entropy when 1 mol e of an...

The change is entropy when `1 mol e` of an ideal gas is compressed to `1//4th` to its intial volume and simultaneously heated to twice of its initial temperature is `:`

A

`[C_(v)-R]ln2`

B

`[C_(v)-2R]ln2`

C

`[C_(v)+2R]ln2`

D

`[C_(v)-R]ln4`

Text Solution

Verified by Experts

The correct Answer is:
B
`DeltaS=nC_(v)ln``(T_(2))/(T_(1))+nRln``(V_(2))/(V_(1))`
`=C_(v)ln2+Rln``(1)/(4)`
`=C_(v)ln2-2Rln2`
`=[C_(v)-2R]ln2`
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