How much coke will need to be burned to heat 2 tons of pig iron by 10 degrees?

These tasks: m1 (mass of cast iron that needs to be heated) = 2 t (in SI m = 2 * 10 ^ 3 kg); Δt (required change in cast iron temperature) = 10 ºС.

Constants: q (specific heat of combustion of blast furnace coke) = 30.4 MJ / kg (30.4 * 10 ^ 6 J / kg); Сч (specific heat capacity of cast iron) = 540 J / (kg * K).

We express the mass of consumed blast furnace coke from the equality: q * m2 = Cch * m1 * Δt, whence m2 = Cch * m1 * Δt / q.

Let’s calculate: m2 = 540 * 2 * 10 ^ 3 * 10 / (30.4 * 10 ^ 6) = 0.355 kg (355 g).