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Question: When one mole of an ideal gas is compressed to half its initial volume and simultaneously heated to ...

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

A

Cvln 2

B

Cpln 2

C

R ln 2

D

(Cv–R) ln 2

Answer

(Cv–R) ln 2

Explanation

Solution

DS = nCv lnT2T1\frac{T_{2}}{T_{1}} + nR lnV2V1\frac{V_{2}}{V_{1}}

DS = Cv ln2 – R ln 2

DS = (Cv – R) ln 2