Supercooled water is liquid water that has been cooled below its normal freezing point.  This state is thermodynamically unstable and tends to freeze into ice spontaneously.  Suppose we have 2 moles of supercooled water turning into ice at -10 oC and 1.0 atm.  Calculate the sysS for the process of conversion of supercooled into ice. The Cp,m values  of water and ice for the temperature range between 0 and -10 oC are 75.3 JK-1mol-1 and 37.7 JK-1 mol-1, respectively. Hint: a change in phase is reversible only at the temperature at which two phases are at  equilibrium. Because supercooled water -10 oC and ice at -10 oC are not at equilibrium,  the freezing process is not reversible. you need to consider reaching 0 oC first and than  cooling to -10 oC.

Chemistry: The Molecular Science
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Author:John W. Moore, Conrad L. Stanitski
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Chapter16: Thermodynamics: Directionality Of Chemical Reactions
Section16.3: Measuring Dispersal Of Energy: Entropy
Problem 16.3CE
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Supercooled water is liquid water that has been cooled below its normal freezing point. 
This state is thermodynamically unstable and tends to freeze into ice spontaneously. 
Suppose we have 2 moles of supercooled water turning into ice at -10 oC and 1.0 atm. 
Calculate the sysS for the process of conversion of supercooled into ice. The Cp,m values 
of water and ice for the temperature range between 0 and -10 oC are 75.3 JK-1mol-1
and 37.7 JK-1 mol-1, respectively.


Hint: a change in phase is reversible only at the temperature at which two phases are at 
equilibrium. Because supercooled water -10 oC and ice at -10 oC are not at equilibrium, 
the freezing process is not reversible. you need to consider reaching 0 oC first and than 
cooling to -10 oC.

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