I have the right answers but dont know how to workthem. One way to keep the cont

Question

I have the right answers but dont know how to workthem.
One way to keep the contents of a garage from becoming toocold on a night when a severe subfreezing temperature is forecastis to put a tub of water in the garage. Assume the mass of thewater is 115 kg and its initialtemperature is 40°C. (a) How much energy must the water transfer toits surroundings in order to freeze completely?5.76e+07J

(b) What is the lowest possible temperature of the water and itssurroundings until that happens? 0°C I have the right answers but dont know how to workthem.
One way to keep the contents of a garage from becoming toocold on a night when a severe subfreezing temperature is forecastis to put a tub of water in the garage. Assume the mass of thewater is 115 kg and its initialtemperature is 40°C. (a) How much energy must the water transfer toits surroundings in order to freeze completely?5.76e+07J

(b) What is the lowest possible temperature of the water and itssurroundings until that happens? 0°C

Explanation / Answer

Mass of water m = 115kg initial temperature t= 40°C Amount of energy must the watertransfer to its surroundings in order to freeze completely is Q = m C dt + m L where C = specific heat of water= 4186 J / kg o C           dt= 40o C            L= latent heat of fusion of water = 334.88 * 10 3 J /kg So, Q = 19255600 + 38511200           =57766800 J or 5.7*107J
          =57766800 J or 5.7*107J

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