A sample of perfect gas that initially occupies 15.0 L at 300 K and 1.0 bar is compressed isothermal

Question

A sample of perfect gas that initially occupies 15.0 L at 300 K and 1.0 bar is compressed isothermally. To what volume must the gas be compressed to reduce its entropy by 5.0 J/K? [ln 0.36 = −1.0, ln 2.7 = 1.0]

Accepted Answer

$\Delta S = nR.\ln\frac{V_{2}}{V_{1}} \Rightarrow - 5.0 = \frac{10^{5} 	imes \left( 15 	imes 10^{- 3} ight)}{300} 	imes \ln\frac{V_{2}}{15} \Rightarrow V_{2} = 5.4	ext{ L}$

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