(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and rejects heat to a room at 24.0 °C. Suppose that 85.0 kg of water at 0.0 °C are converted to ice at 0.0 °C. 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 ITH| By virtue of first law, the work done to convert water to ice is given by W = Q = mLf Thus, the total energy needed to convert 85 kg of water is ET = 687.5 J
(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and rejects heat to a room at 24.0 °C. Suppose that 85.0 kg of water at 0.0 °C are converted to ice at 0.0 °C. 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 ITH| By virtue of first law, the work done to convert water to ice is given by W = Q = mLf Thus, the total energy needed to convert 85 kg of water is ET = 687.5 J
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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![(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and rejects heat to a room at
24.0 °C. Suppose that 85.0 kg of water at 0.0 °C are converted to ice at 0.0 °C. 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 = mLf
%3D
Thus, the total energy needed to convert 85 kg of water is
ET =
687.5 J
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F25dd8164-90e3-47fe-a1f1-728a5ef963ad%2F6cbf46e2-fa84-4adb-a84a-3f76e7079dad%2Fnbpkpf_processed.png&w=3840&q=75)
Transcribed Image Text:(4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and rejects heat to a room at
24.0 °C. Suppose that 85.0 kg of water at 0.0 °C are converted to ice at 0.0 °C. 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 = mLf
%3D
Thus, the total energy needed to convert 85 kg of water is
ET =
687.5 J
%3D
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