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When one mole of an ideal gas is compres...

When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice its initial temperature, the change in entropy of gas `(Delta S)` is

A

`C_(p, m) ln 2`

B

`C_(v, m) ln 2`

C

R ln 2

D

`(C_(v, m)- R) ln 2`

Text Solution

Verified by Experts

The correct Answer is:
D

`Delta S = nC_(v) "ln " (T_(2))/(T_(1)) + nR "ln . (V_(2))/(V_(1))`
`=1 xx C_(v) ln 2 + 1 xx R "ln " (1)/(2) = ln = (C_(v) - R)`
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