One half of a kilogram of liquid water at 273 K (0°C) is placed outside on a day when the temperature is 259 K(-14 °C). Assume that the heat is lost from the water only by means of radiation and that the emissivity of the radiating surface is 0.560. Consider two cases: when the surface area of the water is (a) 0.035 m² (as it might be in a cup) and (b) 1.5 m² (as it could be if the water were spilled out to form a thin sheet). For each case, (a) and (b), determine the time it takes the water to freeze into ice at 0 °C.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 10P: A sample of a solid substance has a mass m and a density 0 at a temperature T0. (a) Find the density...
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One half of a kilogram of liquid water at 273 K (0°C) is placed outside on a day when the temperature is 259 K (-14 °C). Assume that
the heat is lost from the water only by means of radiation and that the emissivity of the radiating surface is 0.560. Consider two cases:
when the surface area of the water is (a) 0.035 m² (as it might be in a cup) and (b) 1.5 m² (as it could be if the water were spilled out to
form a thin sheet). For each case, (a) and (b), determine the time it takes the water to freeze into ice at 0 °C.
(a) Number
(b) Number
i
Units
Units
Transcribed Image Text:One half of a kilogram of liquid water at 273 K (0°C) is placed outside on a day when the temperature is 259 K (-14 °C). Assume that the heat is lost from the water only by means of radiation and that the emissivity of the radiating surface is 0.560. Consider two cases: when the surface area of the water is (a) 0.035 m² (as it might be in a cup) and (b) 1.5 m² (as it could be if the water were spilled out to form a thin sheet). For each case, (a) and (b), determine the time it takes the water to freeze into ice at 0 °C. (a) Number (b) Number i Units Units
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