A piece of aluminum, 500 grams, is heated in a crucible on a stove.

| January 31, 2021 | education

A piece of aluminum, 500 grams, is heated in a crucible on a stove. To what temperature is aluminum heated if 50 grams of kerosene burns in the stove. the initial temperature of aluminum is 20 degrees, the efficiency of the installation is 40℅.

Data: η (installation efficiency) = 40% = 0.4; m1 (piece of aluminum) = 500 g = 0.5 kg; t (starting temperature of aluminum) = 20 ºС; m2 (kerosene) = 50 g = 0.05 kg.

Constants: C (specific heat capacity of aluminum) = 920 J / (kg * K); q (beats heat of combustion of kerosene) = 46 * 10 ^ 6 J / kg.

η = (С * m1 * (t – t1)) / (q * m2).

η * q * m2 = С * m1 * (t – t1).

t = η * q * m2 / (С * m1) + t1 = 0.4 * 46 * 10 ^ 6 * 0.05 / (920 * 0.5) + 20 = 2020 ºС (impossible, aluminum will be heated to the melting point and will melt (start to melt)).



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