The ice maker inside a refrigerator makes ice cubes at 0.0°C from water that is
ID: 1408706 • Letter: T
Question
The ice maker inside a refrigerator makes ice cubes at 0.0°C from water that is at 15.7°C when it first enters the ice maker. If this machine is rated at 294 W and has a 3.56 coefficient of performance, what is the maximum amount of ice it can produce in a 24 hour period without any interruption or stoppage? Assume that the ice maker works just like a refrigerator. The specific heat of water is 4184 J/(kg · °C), and the latent heat of fusion of ice is 33.4 104 J/kg.
______kg
please show how work is calculated
Explanation / Answer
Energy required to make ice from water per unit kg
= 4184 x (15.7 - 0) + 33.4 x10^4 = 399688.8 J/kg
coefficient is 3.56 .
3.56 =Pc / Pin
Pin = 3.56 x 294 = 1046.64 Watt
Energy supplied in 24 hours = 1046.64 x 24 x 3600 J
hence 1046.64 x 24 x 3600 J = 399688.8m
m = 226.25 kg
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