14.14. One of water's most familiar and unusual properties is its negative volume of melting: the density of ice is 917 kg/m3 and that of liquid water is 1,000 kg/m3 at the normal melting point. Some other useful properties of water for this problem are Cpice 38 J/K mol, cpliq 75 J/K mol, Ahm6 kJ/mol at 0°C, and MH20 18 g/mol (a) It has been claimed that ice skating is possible because the pressure of the blade on the ice lowers its freezing point, induces melting, and provides a slippery liquid layer. What is the expected freezing temperature for a 65-kg person on skates that have a total area in contact with the ice of 30 cm2 (blades 0.5 cm wide and 30 cm long)? Is it likely the ice will actually melt? (b) A small amount of solute is added to liquid water at 0°C and atmospheric pressure at mole fraction xolute at constant pressure until 10% of the original water is present as ice How much heat must be removed per mole of water, Q/n, to accomplish 0.05. The mixture is then cooled this task? Assume that the solute contributes negligible heat capacity to the solution

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
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14.14. One of water's most familiar and unusual properties is its negative volume of
melting: the density of ice is 917 kg/m3 and that of liquid water is 1,000 kg/m3 at
the normal melting point. Some other useful properties of water for this problem
are Cpice 38 J/K mol, cpliq 75 J/K mol, Ahm6 kJ/mol at 0°C, and
MH20 18 g/mol
(a) It has been claimed that ice skating is possible because the pressure of the
blade on the ice lowers its freezing point, induces melting, and provides a
slippery liquid layer. What is the expected freezing temperature for a 65-kg
person on skates that have a total area in contact with the ice of 30 cm2
(blades 0.5 cm wide and 30 cm long)? Is it likely the ice will actually melt?
(b) A small amount of solute is added to liquid water at 0°C and atmospheric
pressure at mole fraction xolute
at constant pressure until 10% of the original water is present as ice
How much heat must be removed per mole of water, Q/n, to accomplish
0.05. The mixture is then cooled
this task? Assume that the solute contributes negligible heat capacity to the
solution
Transcribed Image Text:14.14. One of water's most familiar and unusual properties is its negative volume of melting: the density of ice is 917 kg/m3 and that of liquid water is 1,000 kg/m3 at the normal melting point. Some other useful properties of water for this problem are Cpice 38 J/K mol, cpliq 75 J/K mol, Ahm6 kJ/mol at 0°C, and MH20 18 g/mol (a) It has been claimed that ice skating is possible because the pressure of the blade on the ice lowers its freezing point, induces melting, and provides a slippery liquid layer. What is the expected freezing temperature for a 65-kg person on skates that have a total area in contact with the ice of 30 cm2 (blades 0.5 cm wide and 30 cm long)? Is it likely the ice will actually melt? (b) A small amount of solute is added to liquid water at 0°C and atmospheric pressure at mole fraction xolute at constant pressure until 10% of the original water is present as ice How much heat must be removed per mole of water, Q/n, to accomplish 0.05. The mixture is then cooled this task? Assume that the solute contributes negligible heat capacity to the solution
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