How much heat is needed to melt 0.5 kg of ice? Initial temperature (-10 ° C).

Initial data: m (ice mass) = 0.5 kg; t0 (initial temperature) = -10 ºС.

Constants: tmelt (temperature at which ice begins to melt) = 0 ºС; C (specific heat) = 2100 J / (kg * K); λ (specific heat of fusion) = 3.4 * 10 ^ 5 J / kg.

The amount of heat: Q = Q1 + Q2 = C * m * (tp – t0) + λ * m = (C * (tp – t0) + λ) * m.

Let’s make a calculation:

Q = (2100 * (0 – (-10)) + 3.4 * 10 ^ 5) * 0.5 = 180500 J = 180.5 * 10 ^ 3 J = 180.5 kJ.

Answer: To melt ice, you need 180.5 kJ of heat.



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