Determine how much heat is required to melt copper weighing 5 kg, the initial temperature is 956

Determine how much heat is required to melt copper weighing 5 kg, the initial temperature is 956, the final temperature is 1356.

Initial data: m (mass of copper for melting) = 5 kg; t1 (initial copper temperature) = 956 K; t2 (final copper temperature, melting point) = 1356 K.

Reference data: C (specific heat) = 400 J / (kg * K); λ (specific heat of fusion) = 2.1 * 10 ^ 5 J / kg.

Let’s compose a formula for calculating the amount of heat: Q = Q1 (heating) + Q2 (melting) = C * m * (t2 – t1) + λ * m = (C * (t2 – t1) + λ) * m.

Let’s calculate: Q = (400 * (1356 – 956) + 2.1 * 10 ^ 5) * 5 = 1,850,000 J or 1.85 MJ.