In an open-hearth furnace, 2.5 tons of steel scrap was melted, taken at a temperature of 250C.

In an open-hearth furnace, 2.5 tons of steel scrap was melted, taken at a temperature of 250C. How much heat was required to melt the steel?

Data: m (weight of steel scrap) = 2.5 t (2.5 * 10 ^ 3 kg); t0 (temperature of steel scrap before melting) = 250 ºС.

Reference data: C (specific heat capacity of steel) = 500 J / (kg * ºС); tmelt (average steel melting temperature) = 1400 ºС; λ (specific heat of melting of steel) = 84 * 10 ^ 3 J / kg.

The amount of heat for melting steel in an open-hearth furnace is determined by the formula: Q = C * m * (tmelt – t0) + λ * m.

Calculation: Q = 500 * 2.5 * 10 ^ 3 * (1400 – 250) + 84 * 10 ^ 3 * 2.5 * 10 ^ 3 = 1.6475 * 10 ^ 9 J = 1.6475 MJ.