one mole of ice at 0 C is turned completely into steam by heating under 1...

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Chemistry

one mole of ice at 0 C is turned completely into steam byheating under 1 atm pressure. calculate the entropy change in thesystem with specific heat capacity and enthalpy/heatvalues.assuming they are all constant.

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4.3 Ratings (891 Votes)

H2O(S) at 0oC to H2O(l) at 0oCÂ Â Â Â -------delta S1
H2O(l) at 0oC to H2O(l) at 100 oC ---------delta S2
H2O(l) at 100 oC to H2O(g) at 100 oC ---------delta S3

delta S1 = qrev/T = n*delta H fusion / T
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =1*6.01/273.15
Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =0.022 KJ/K

delta S2 = nCp*ln(Tf/Ti)
Â Â Â Â Â Â Â Â Â Â Â = 1* 0.07529*ln(373.15/273.15)
Â Â Â Â Â Â Â Â Â Â Â = 0.0235 KJ/K

delta S3 = n*delta Hvap/T
Â Â Â Â Â Â Â Â Â Â Â = 1*40.7 / 373.15
Â Â Â Â Â Â Â Â Â Â Â =0.1091 KJ/K

So,
delta S= delta S1 + delta S2 + delta S3
Â Â Â Â Â Â Â Â = 0.022 + 0.0235+ 0.1091
Â Â Â Â Â Â Â Â = 0.1546 KJ/K
Â Â Â Â Â Â Â Â = 154.6 J/K

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