An aluminum bucket contains 0.800 kg of water at an equilibrium temperature of 25.0 °C. The water is cooled uniformly at a constant rate by addition of 200 g of ice at -5.00 °C. Assume no heat exchange to the aluminum bucket and environment. Determine the final temperature (in °C) of the water.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.12P
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An aluminum bucket contains 0.800 kg of water at an equilibrium temperature
of 25.0 °C. The water is cooled uniformly at a constant rate by addition of 200 g
of ice at -5.00 °C. Assume no heat exchange to the aluminum bucket and
environment. Determine the final temperature (in °C) of the water.
Given that:
Latent heat of fusion of ice, Lf
Specific heat of water, Cwater
Specific heat of ice, Cice
= 3.33 x 10° J kg
= 4186 J kgl °c-'
2000 J kg-l °C-'
-1
Specific heat of aluminum, caluminum = 900 J kg °c
Transcribed Image Text:An aluminum bucket contains 0.800 kg of water at an equilibrium temperature of 25.0 °C. The water is cooled uniformly at a constant rate by addition of 200 g of ice at -5.00 °C. Assume no heat exchange to the aluminum bucket and environment. Determine the final temperature (in °C) of the water. Given that: Latent heat of fusion of ice, Lf Specific heat of water, Cwater Specific heat of ice, Cice = 3.33 x 10° J kg = 4186 J kgl °c-' 2000 J kg-l °C-' -1 Specific heat of aluminum, caluminum = 900 J kg °c
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