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Q.

If one mole of an ideal gas $(C_{p . m .} = \frac{5}{2} R)$ }s expanded isothermally at 300 K until it's volume is tripled, then change in entropy of gas is :

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a

zero

b

$\frac{5}{2} R \ln 3$

c

infinity

d

R In 3

answer is D.

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Detailed Solution

For constant temperature,

$ΔS = R \times \ln \frac{V 2}{V 1}$

Final volume is 3 times compare to initial volume. Thus

$Δ S = R i n \frac{v 2}{V 1} = R \times \ln \frac{3 V}{V} = R \ln 3$

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