An ice cube (mass 30 g) at 0°C is left sitting on the kitchen table, where it gradually melts. The temperature in the kitchen is 25°C. (a) Calculate the change in the entropy of the ice cube as it melts into water at 0°C. (Don't worry about the fact that the volume changes somewhat.) (b) Calculate the change in the entropy of the water (from the melted ice) as its temperature rises from 0°C to 25°C. (c) Calculate the change in the entropy of the kitchen as it gives up heat to the melting ice/water. (d) Calculate the net change in the entropy of the universe during this process. Is the net change positive, negative, or zero? Is this what you would expect?
An ice cube (mass 30 g) at 0°C is left sitting on the kitchen table, where it gradually melts. The temperature in the kitchen is 25°C. (a) Calculate the change in the entropy of the ice cube as it melts into water at 0°C. (Don't worry about the fact that the volume changes somewhat.) (b) Calculate the change in the entropy of the water (from the melted ice) as its temperature rises from 0°C to 25°C. (c) Calculate the change in the entropy of the kitchen as it gives up heat to the melting ice/water. (d) Calculate the net change in the entropy of the universe during this process. Is the net change positive, negative, or zero? Is this what you would expect?
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
Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 33P
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An ice cube (mass 30 g) at 0°C is left sitting on the kitchen table,
where it gradually melts. The temperature in the kitchen is 25°C.
(a) Calculate the change in the entropy of the ice cube as it melts into water
at 0°C. (Don't worry about the fact that the volume changes somewhat.)
(b) Calculate the change in the entropy of the water (from the melted ice) as
its temperature rises from 0°C to 25°C.
(c) Calculate the change in the entropy of the kitchen as it gives up heat to
the melting ice/water.
(d) Calculate the net change in the entropy of the universe during this process.
Is the net change positive, negative, or zero? Is this what you would expect?
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