Given the following properties for water: T= 0℃,   ∆(fus)H= 6.010 kJ/mol  T=100℃,    ∆vapH= 40.65 kJ/mol a) Calculate the entropy change when:      1) 1.0 mol of ice is melted at its melting point.      2) 1.0 mol of liquid water is boiled at its boiling point. b) Using the statistical definition of entropy, estimate the ratios of multiplicities Wℓ / Ws and Wg / Wℓ.  c) For each entropy change you calculated above, what isothermal change in volume of 1.0 mol of an ideal gas produces the same change in entropy? Express each change in volume as the ratio V2/V1. d) Interpret your results from parts b) and c). Do your results make sense? Do they agree with

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter16: Thermodynamics: Directionality Of Chemical Reactions
Section16.3: Measuring Dispersal Of Energy: Entropy
Problem 16.3CE
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Given the following properties for water:
T= 0℃,   ∆(fus)H= 6.010 kJ/mol 

T=100℃,    ∆vapH= 40.65 kJ/mol

a) Calculate the entropy change when:
     1) 1.0 mol of ice is melted at its melting point.
     2) 1.0 mol of liquid water is boiled at its boiling point.

b) Using the statistical definition of entropy, estimate the ratios of multiplicities Wℓ / Ws and Wg / Wℓ. 

c) For each entropy change you calculated above, what isothermal change in volume of 1.0 mol of an ideal gas produces the same change in entropy? Express each change in volume as the ratio V2/V1.

d) Interpret your results from parts b) and c). Do your results make sense? Do they agree with your intuition and answers from part a)?

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