Certain refrigerated has a COP of 5.00. When the refrigerator is in operation, its input is 500 W. A water sample of 500 g of mass and 20.0°C of the freezer compartment is placed. (a) Find the work that the refrigerator must do for energy, Q, of the water. (b) How long does it take to freeze the water at 0°C? Suppose that the other parts of the refrigerator remain at the same temperature and there is no leakage of energy to the outside, so the operation of the refrigerator results only in energy that is extracted from the water.