How much heat is needed to melt zinc with a mass of 10 kg taken at a temperature of 20 degrees.

univerkov | February 14, 2021 | education

Given: m (mass of zinc to be melted) = 10 kg; t0 (initial zinc temperature) = 20 ºС.

Constants: SC (specific heat capacity of zinc) = 400 J / (kg * K); tmelt (temperature of the beginning of zinc melting) ≈ 420 ºС; λ (specific heat of fusion of zinc) = 117 * 10 ^ 3 J / kg.

The heat consumption for smelting zinc is determined by the formula: Q = Q1 + Q2 = SC * m * (tmelt – t) + λ * m.

Let’s perform the calculation: Q = 400 * 10 * (420 – 20) + 117 * 10 ^ 3 * 10 = 2.77 * 106 J = 2.77 MJ.

Answer: To melt 10 kg of zinc you need 2.77 MJ of heat.

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