(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 oC and rejects heat to a room at 24.0 oC. Suppose that 85.0 kg of water at 0.0 oC are converted to ice at 0.0 oC. How much energy (in Joules) must be supplied to the machine to achieve this task? Sol.Since the machine is a operating in a Carnot cycle, then, its efficiency is|- |ITH|e =By virtue of first law, the work done to convert water to ice is given byW = Q =Thus, the total energy needed to convert 85 kg of water isET =687.5 J

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Answered: An ice-making machine operates in a…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Heat Engines, Entropy, And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 22.61AP

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(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 ^oC and rejects heat to a room at 24.0 ^oC. Suppose that 85.0 kg of water at 0.0 ^oC are converted to ice at 0.0 ^oC. How much energy (in Joules) must be supplied to the machine to achieve this task?

Sol.
Since the machine is a operating in a Carnot cycle, then, its efficiency is
|- |
ITH|
e =
By virtue of first law, the work done to convert water to ice is given by
W = Q =
Thus, the total energy needed to convert 85 kg of water is
ET =
687.5 J

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