A snow maker at a resort pumps 200 kg of lake water per minute and sprays it int

Question

A snow maker at a resort pumps 200 kg of lake water per minute and sprays it into the air above a ski run. The water droplets freeze in the air and fall to the ground, forming a layer of snow. If all of the water pumped into the air turns to snow, and the snow cools to the ambient air temperature of -8.9°C, how much heat does the snow-making process release each minute? Assume the temperature of the lake water is 19.5°C, and use 2.00x103 J/(kg·C°) for the specific heat capacity of snow.

note: the answer I got was 1.50 J and this was incorrect.

Explanation / Answer

Given that

mass m=200 kg

temperature T1=19.5 C

temperature T2=-8.9 C

specific heat capacity C=2*10^3 J/kg.c

now we find the heat

heat Q=mc[T2-T1]

=200*2*10^3*[-8.9-19.5]

=-11360000 J

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