For us to get the amount of energy that must be supplied to the device, we first need to get the energy rejected to the room.

To get the quantity of heat rejected to the room, we use the formula:

$\overline{)\frac{{\mathbf{Q}}_{\mathbf{c}}}{{\mathbf{Q}}_{\mathbf{h}}}{\mathbf{=}}\frac{{\mathbf{T}}_{\mathbf{c}}}{{\mathbf{T}}_{\mathbf{h}}}}$

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 76.3kg at 0.0 degrees Celsius is converted to ice at the same temperature. Take the heat of fusion for water to be L_{f} = 3.34x10^{5} J/kg.

How much energy E must be supplied to the device?

Express your answer in joules.

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