The amount of heat spent on heating and melting a tin billet weighing 0.24 kg is equal to 27 kJ.

The amount of heat spent on heating and melting a tin billet weighing 0.24 kg is equal to 27 kJ. How many degrees did the workpiece have to be heated before completely melting it?

Data: m (mass of the tin blank) = 0.24 kg; Q (the amount of heat spent on heating and melting the workpiece) = 27 kJ (27 * 10 ^ 3 J).

Constants: λ (beats heat of fusion of tin) = 0.59 * 10 ^ 5 J / kg; С (specific heat capacity) = 230 J / (kg * ºС).

We express the heating temperature of the workpiece from the formula: Q = C * m * Δt + m * λ, whence Δt = (Q – m * λ) / (C * m).

Calculation: Δt = (27 * 10 ^ 3 – 0.24 * 0.59 * 10 ^ 5) / (230 * 0.24) = 232.6 ºС.

Answer: The tin billet will need to be heated at 232.6 ºС.



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