(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

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Chapter1: Units, Trigonometry. And Vectors
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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
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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