The wattage of a commercial ice maker is 224 W and is the rate at which it does
ID: 1574850 • Letter: T
Question
The wattage of a commercial ice maker is 224 W and is the rate at which it does work. The ice maker operates just like a refrigerator and has a coefficient of performance of 3.77. The water going into the unit has a temperature of 15°C, and the ice maker produces ice cubes at 0.0°C. Ignoring the work needed to keep stored ice from melting, find the maximum amount (in kg) of ice that the unit can produce in one day of continuous operation. Express your answer with 3 or more significant figures. For water: c= 4186J/(kgC". Lf-3.35x105 J/kg, Lv=2.26x106 J/kgExplanation / Answer
we know, COP = Q/W
Q = COP*W
Q = 3.77*224
= 844.5 W
Energy taken out by the machine from water in one day
E = Q*t
= 844.5*24*60*60
= 7.296*10^7 J
let m is the mass of ice that is made by the machine in one day.
now use,
E = m*C_water*(15 - 0) + m*Lf
m = E/(C_water*15 + Lf)
= 7.296*10^7/(4186*15 + 3.35*10^5)
= 183.4 kg
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