An ice-making machine inside a refrigerator operates in a Carnot cycle. It takes heat from liquid water at 0.0^{ C} and rejects heat to a room at a temperature of 24.6^\C. Suppose that liquid water with a mass of 82.7kg at 0.0^ C} is converted to ice at the same temperature. Take the heat of fusion for water to be L_{ f}\; = 3.34×105J/kg . Part A How much heat |Q_{\rm H}| is rejected to the room?