Calculate the entropy change at 373 K for the following transformation. H2O(I,1.01325bar)→H2O(g,0.101325bar). Given ΔvapH(H2O)=37.3kJmol−1
A
19.14JK−1mol−1
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B
119.14JK−1mol−1
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C
80.86JK−1mol−1
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D
180.86JK−1mol−1
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Solution
The correct option is C119.14JK−1mol−1 Step I : H2O(I,1.01325bar)→H2O(g,0.101325bar) Δs1=37.3×103373KJmol−1=100JK−1mol−1 Step II : H2O(I,1.01325bar)→H2O(g,0.101325bar) Δs2=RInP1P2=8.314JK−1mol−1×2.303×log1.013250.101325=19.1 ΔS=ΔS1+ΔS2=100JK−1mol−1+19.147JK−1mol−1=119.14