First slide

2nd Law of Thermodynaimcs

Question

Calculate the change in entropy (ΔS), when one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated to twice of its initial temperature.

Easy

A

C_v In 2
B

C_pIn 2
C

R. In 2
D

(C_V-R) In 2

Solution

$\begin{array}{l} ΔS = C_{v} \ln (\frac{T_{2}}{T_{1}}) + Rln \frac{V_{2}}{V_{1}} \\ = C_{1} \ln 2 + R \times \ln 1 / 2 \\ = (C_{V} - R) \ln 2 \end{array}$

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