A thin-walled cubical container that is 0.5 m by 0.5 m by 0.5 m is filled with ice water. The container is inside another .cubical container and the 3 cm gap between the containers is a vacuum. The outer surface of the inner container has an emissivity of 0.1 and a temperature of 1 C. The inner surface of the outer container has an emissivity of 0.3 and a temperature of 19 C. (a) What is the rate of heat transfer to the ice water? (b) If the container initially contains 1/2 ice and 1/2 water by volume, how long will it take for all the ice to be melted?

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.
Chapter11: Heat Transfer By Radiation
Section: Chapter Questions
Problem 11.57P
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A thin-walled cubical container that is 0.5 m by 0.5 m by 0.5 m is filled with ice water. The container is inside another
.cubical container and the 3 cm gap between the containers is a vacuum. The outer surface of the inner container has
an emissivity of 0.1 and a temperature of 1 C. The inner surface of the outer container has an emissivity of 0.3 and a
temperature of 19 C.
(a) What is the rate of heat transfer to the ice water?
(b) If the container initially contains 1/2 ice and 1/2 water by volume, how long will it take for all the ice to be melted?
Transcribed Image Text:A thin-walled cubical container that is 0.5 m by 0.5 m by 0.5 m is filled with ice water. The container is inside another .cubical container and the 3 cm gap between the containers is a vacuum. The outer surface of the inner container has an emissivity of 0.1 and a temperature of 1 C. The inner surface of the outer container has an emissivity of 0.3 and a temperature of 19 C. (a) What is the rate of heat transfer to the ice water? (b) If the container initially contains 1/2 ice and 1/2 water by volume, how long will it take for all the ice to be melted?
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