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How much heat is needed to heat water of mass $m = 2$ kg from a temperature of $t_1 = 20°$C to $t_2 = 100°$C? The specific heat capacity of water is $c = 4200$ J/(kg·K).
Find the quantity of heat needed to melt ice of mass $m = 0.5$ kg at a temperature of $0°$C. The latent heat of fusion of ice is $\lambda = 3.4 \cdot 10^5$ J/kg.
Water of mass $m_1 = 2$ kg at a temperature of $t_1 = 80°$C is mixed with water of mass $m_2 = 3$ kg at a temperature of $t_2 = 20°$C. Find the temperature of the mixture. Neglect heat loss to the surroundings.