Question #246151

Calculate the entropy change for 200.0 g of N2 gas that is compressed from a pressure of 0.715

atm to a pressure of 1.16 atm at a constant temperature of 30.0°C. Assume that the gas behaves

ideally.


Expert's answer

Number of moles of nitrogen, n=200/28=7.14200/28=7.14

universal gas constant =8.314Jmol−1k−18.314Jmol^{-1}k^{-1}

Pinitial=0.715,Pfinal=1.16P_{initial}=0.715, P_{final}=1.16

Entropy change, ΔS=nRln(Pinitial/Pfinal)=7.14×8.314ln(0.7151.16)=−28.72JK−1\Delta S = nRln(P_{initial}/P_{final})=7.14\times 8.314ln(\frac{0.715}{1.16})=-28.72JK^{-1}


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