You have mW = 3.7 kg of water in an insulated container. You add mI = 0.75 kg of ice at TI = -21°C to the water and the mix reaches a final, equilibrium temperature of Tf = 12°C. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34×105 J/kg. Calculate the initial temperature of the water, in degrees Celsius.

College Physics
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Chapter11: Energy In Thermal Processes
Section: Chapter Questions
Problem 4CQ: Equal masses of substance A at 10.0C and substance B at 90.0C are placed in a well-insulated...
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 You have mW = 3.7 kg of water in an insulated container. You add mI = 0.75 kg of ice at TI = -21°C to the water and the mix reaches a final, equilibrium temperature of Tf = 12°C. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34×105 J/kg.

Calculate the initial temperature of the water, in degrees Celsius. 

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