Consider a reversible isentropic expansion of 1 mole of an ideal monoatomic gas from 27°C to 927°C.

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Consider a reversible isentropic expansion of 1 mole of an ideal monoatomic gas from 27°C to 927°C. If the initial pressure of gas was 1 bar, then the final pressure of gas becomes

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$\Delta S = n.C_{P,m}.\ln\frac{T_{2}}{T_{1}} + nR.\ln\frac{P_{1}}{P_{2}}$$	ext{Or, }0 = n 	imes \frac{5}{2}R 	imes \ln\frac{1200}{300} + nR 	imes \ln\frac{1}{P_{2}} \Rightarrow P_{2} = 32	ext{ bar}$

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