Freezing Water and Efficiency?

Question

During each cycle of operation a refridgerator absorbs 55 cal from the freezer compartment and expels 85 cal to the room. If one cycle occurs every 10s, how many minutes will it take to freeze 500g of water, initially at 0C?

Answer 1

I'll switch to SI units

55 cal = 230 J

85 cal = 356 J

500g = 0.5 kg

heat of fusion of ice is 334 kJ/kg

0.230 kJ x N = 334 kJ/kg x 0.5kg

N = 730 cycles

t = 7300 seconds or 12 minutes.

.

Answer 2

16.66?

probably wrong lol