J.R. S. answered 06/25/20
Ph.D. University Professor with 10+ years Tutoring Experience
First we must reduce the temperature of the water form 14º to 0º
q = mC∆T = (52.0 g)(4.184 J/g/deg)(14 degrees) = 3046 J
Next we have to freeze the water at 0º. This is simply a phase change with no change in temperature.
q = m∆Hfusion = (52.0 g)(334 J/g) = 17,368 J
Total heat = 3046 J + 17,368 J = 20,414 J = 20,400 J must be lost (3 significant figures)