# PHYSICS

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The wattage of a commercial ice maker is 226 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 3.90. The water going into the unit has a temperature of 15.0°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. Water has a specific heat capacity 4186 J/(kg·C°) and a latent heat of fusion of 3.35x105 J/kg

• PHYSICS -

Qc = m (3.35*10^5 + 15*4186) = heat removed from water in a day

W = 226 J/s * 24 * 3600 = 1.95*10^7 Joules per day of electricity or work in

COP = Qc/W

3.9 = m (397340) / 19500000
m = 191 Kg

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