This problem is (14.14) from a book "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell" 14.14. One of water's most familiar and unusual properties is its negative volume ofmelting: the density of ice is 917 kg/m° and that of liquid water is 1,000 kg/m atthe normal melting point. Some other useful properties of water for this problemare Cp,ice - 38 J/K mol, Cp,liq. ~ 75 J/K mol, Ahm - 6 kJ/mol at 0°C, andMH,0 - 18 g/mol.(a) It has been claimed that ice skating is possible because the pressure of theblade on the ice lowers its freezing point, induces melting, and provides aslippery liquid layer. What is the expected freezing temperature for a 65-kgperson on skates that have a total area in contact with the ice of 30 cm?(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 atmosphericpressure at mole fraction xsoluteat 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 accomplish0.05. The mixture is then cooledthis task? Assume that the solute contributes negligible heat capacity to thesolution.

Hello ! You have asked two different questions and not subparts to the same problem. Here we have solved the first one(a) .We suggest you to repost the other part as separate question for us to answer.Given -some physical properties of water in liquid and solid phase To determine-whether the ice will melt because of the pressure of blade in ice surface during ice skating by a person of 65 kg mass.mass of the skating person= 65 kg area of the skating blade, A=30cm x 0.5cmPressure on the ice exerted by the skate board P=force F exerted on ice area of contact with iceP= mass of the person on skate board×acceleration due to gravity area of contact with iceP=65 kg×9.8 m/s20.3m×0.005m =424667 PaAt pressure 424666.67 Pa, freezing temperature of water is found as 273.15 K. This temperature is equal to the melting point of ice under standard conditions Therefore, the ice will actually melt and the claim is likely true.