How much heat is required to completely melt 5 kg of ice taken at a temperature of -10 C.

How much heat is required to completely melt 5 kg of ice taken at a temperature of -10 C. (the specific heat of ice is 2100 J / kg C, the specific heat of melting of ice is 3.4 * 10 ^ 5 J / kg).

Given: m (mass of taken ice) = 5 kg; t (ice temperature before heat transfer) = -10 ºС.
Reference data: tmelt (temperature of the beginning of melting) = 0 ºС; by condition C (specific heat) = 2100 J / (kg * ºС); λ (specific heat of fusion) = 3.4 * 105 J / kg.
1) Heating ice to 0 ºС: Q1 = C * m * (tmelt – t) = 2100 * 5 * (0 – (-10)) = 105000 J (105 kJ).
2) Melting ice: Q2 = λ * m = 3.4 * 10^5 * 5 = 17 * 10^5 J (1700 kJ).
3) The amount of consumed heat: Q = 105 + 1700 = 1805 kJ.