In a smelting furnace, cast iron, weighing 1 ton, was melted at a temperature of 30 C.

In a smelting furnace, cast iron, weighing 1 ton, was melted at a temperature of 30 C. How much heat was required for melting?

To find out the heat consumption for melting the cast iron taken, we apply the formula: Q = Qn + Qpl = Cch * m * (tpl – tn) + λh * m = (Cch * (tpl – t0) + λh) * m.

Const: Cch – specific heat capacity of cast iron (assumed Cch = 540 J / (kg * K)); tmelt – melting point (tm = 1150 … 1200 ºС, assumed tmelt = 1175 ºС); λh – beats heat of fusion of cast iron (λh = 96 * 10 ^ 3 J / kg, gray cast iron).

Data: t0 – initial temperature of cast iron (t0 = 30 ºС); m is the mass of cast iron (m = 1 t, in the SI system m = 103 kg).

Let’s perform the calculation: Q = (Ch * (tm – t0) + λh) * m = (540 * (1175 – 30) + 96 * 10 ^ 3) * 10 ^ 3 = 714.3 * 10 ^ 6 J = 714, 3 MJ.

Answer: For melting 1 ton of pig iron, 714.3 MJ of heat should have been required.