Water with a mass of mW = 0.400 kg and temperature of TW = 19.5°C is poured into an insulated bucket containing mI = 0.19 kg of ice at a temperature of TI = -19°C. Assume the specific heats of ice and water are constant at cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively. The latent heat of fusion for water is Lf = 334×103 J/kg.  Part (a)  What is the final temperature of the mixture, in degrees Celsius?  Part (b)  Enter an expression for the mass of ice, in kilograms, that has melted when the mixture reaches its final temperature.  Part (c)  Calculate how much ice, in kilograms, has melted when the mixture reaches its final temperature.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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Water with a mass of mW = 0.400 kg and temperature of TW = 19.5°C is poured into an insulated bucket containing mI = 0.19 kg of ice at a temperature of TI = -19°C. Assume the specific heats of ice and water are constant at cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively. The latent heat of fusion for water is Lf = 334×103 J/kg.

 Part (a)  What is the final temperature of the mixture, in degrees Celsius? 

Part (b)  Enter an expression for the mass of ice, in kilograms, that has melted when the mixture reaches its final temperature. 

Part (c)  Calculate how much ice, in kilograms, has melted when the mixture reaches its final temperature. 

 

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