An ice-making machine inside a refrigerator operates in a Carnot cycle. It takes heat from liquid water at 0.0 degrees Celsius and rejects heat to a room at a temperature of 19.2 degrees Celsius. Suppose that liquid water with a mass of 74.6kg at 0.0 degrees Celsius is converted to ice at the same temperature. Take the heat of fusion for water to be L_f = 3.34*10^5 J/kg.

How much energy E must be supplied to the device?

Express your answer in joules