Calculate the amount of heat required to melt 20 kg of aluminum taken at 160 ° C.

univerkov | April 12, 2021 | education

Data: m (mass of taken aluminum) = 20 kg; t0 (initial temperature of aluminum) = 160 ºС.

Reference values: Ca (specific heat of aluminum) = 920 J / (kg * K); tmelt (melting point) = 660.4 ºС (≈ 660 ºС); λ (specific heat of fusion) = 3.9 * 10 ^ 5 J / kg.

The required heat for melting 20 kg of aluminum: Q = Q1 + Q2 = Ca * m * (tmelt – t0) + λ * m.

Calculation: Q = 920 * 20 * (660 – 160) + 3.9 * 10 ^ 5 * 20 = 17 * 106 J (17 MJ).

Answer: To melt 20 kg of aluminum, 17 MJ of heat is needed.

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