What amount of heat is given to the environment by boiling water weighing 3 kg when it cools down to 50 °.

The amount of heat that the boiling water must give to the environment is calculated by the formula: Q = Cw * m * (t2 – t1), where Cw is the specific heat of boiling water, water (Cv = 4200 J / (kg * K)); m is the mass of boiling water taken (m = 3 kg); t2 – initial temperature (t2 = 100 ºС); t1 – temperature after cooling (t1 = 50 ºС).

Let’s make a calculation: Q = Cw * m * (t2 – t1) = 4200 * 3 * (100 – 50) = 630 * 10 ^ 3 J (630 kJ).

Answer: Boiling water should give 630 kJ of heat to the environment.