What is the total heat flow if 28 grams of water at 12°C is cooled to become ice at –19°C? The specific heat of liquid water is 4.18 J/g • °C; the specific heat of ice is 2.1 J/g • °C. The heat of fusion of ice is 333 J/g, and the freezing point of water is 0.0°C.
Energy required to remove energy from 12°C to 0°C
Q1 = mass * specific heat * ∆T
= 28*4.18*(12-0)
= 1404.48 joules
Energy removed to change the phase
Q2 = mass * ∆H(fus)
= 28*333
= 9324 joules
Energy remived to change 0°C to -19°C
Q3 = mass * specific heat of ice * ∆T
= 28*2.1*(0-(-19)
= 1117.2 joules
Total heat = Q1 + Q2 + Q3
= 1404.48 + 9324 + 1117.2
= 11845.68 joules
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