What energy will be released during solidification of 2.5 kg of silver taken at the melting

What energy will be released during solidification of 2.5 kg of silver taken at the melting temperature and its further cooling to 160 ° C?

Initial data: m (weight of silver) = 2.5 kg; tк (temperature to which silver cools down) = 160 ºС.

Reference data: tmelt (silver melting temperature) = 960 ºС; C (specific heat) = 250 J / (kg * K); λ (specific heat of fusion) = 87 * 10 ^ 3 J / kg.

The released energy: Q = Q1 (crystallization of silver) + Q2 (cooling of silver) = λ * m + C * m * (tmelt – tc).

Let’s do the calculation:

Q = 87 * 10 ^ 3 * 2.5 + 250 * 2.5 * (960 – 160) = 717500 J = 717.5 kJ.

Answer: 717.5 kJ of thermal energy will be released.