How much copper taken at 85 degrees can be heated up to 1085 degrees in a furnace

How much copper taken at 85 degrees can be heated up to 1085 degrees in a furnace by burning 3 tons of coal if half of the heat from the burning coal goes to heating copper?

To determine the desired mass of heated copper, we use the formula: η = Cm * mm * (t – t0) / (qу * mу) and mm = qу * mu * η / (Cm * (t – t0)).

Constants and variables: qу – heat of combustion of coal (qу = 2.7 * 10 ^ 7 J / kg); mу is the mass of coal (mу = 3 t = 3 * 10 ^ 3 kg); η – efficiency (η = 50% = 0.5); Cm – heat capacity of copper (Cm = 400 J / (kg * K)); t – end. copper temperature (t = 1085 ºС); t0 – early. temperature (t0 = 85 ºС).

Calculation: mm = 2.7 * 10 ^ 7 * 3 * 10 ^ 3 * 0.5 / (400 * (1085 – 85)) = 101 250 kg.