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In order to cool 1 ton of water at 20°C in an insulated
Chapter 4, Problem 113P(choose chapter or problem)
Problem 113P
In order to cool 1 ton of water at 20°C in an insulated tank, a person pours 80 kg of ice at -5°C into the water. Determine the final equilibrium temperature in the tank. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0°C and 333.7 kJ/kg, respectively.
Questions & Answers
QUESTION:
Problem 113P
In order to cool 1 ton of water at 20°C in an insulated tank, a person pours 80 kg of ice at -5°C into the water. Determine the final equilibrium temperature in the tank. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0°C and 333.7 kJ/kg, respectively.
ANSWER:
Step by step solution Step 1 of 2Express the energy balance equation for closed system.Here,energy transfer into the system is ,energy transfer from the system is and changein internal energy of system isSubstitute .........(1)Here, change in internal energy isConsider the internal energy that takes place in both ice and water in the system.Substitute for andfor ...........(2)Here,heat of fusion of ice is ,mass of system is ,specific heat at constant pressure is,initial temperature is and final temperature is