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 ise = 1|- | TCTH|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

Given data: Temperature of cold reservoir is, Tc=0∘C=(0+273)=273 K. Temperature of hot reservoir is,…

Answered: An ice-making machine operates in a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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
e = 1
|- | TC
TH|
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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