4.65 kg of water taken at a temperature of 13 degrees is heated to 35C by immersing a piece of deleuze in water

4.65 kg of water taken at a temperature of 13 degrees is heated to 35C by immersing a piece of deleuze in water with a temperature of 50C. Find the mass of a piece of iron. The specific heat capacity of iron is 462 J / kg * k. Disregard heat exchange with surrounding bodies and evaporation.

To find the mass of a piece of iron taken, we will use the equality: Czh * mw * (tf – tp) = Cw * mw * (tp – tw), whence we express: mzh = Cw * mw * (tp – tw) / (Czh * ( tzh – tp)).

Data: Cv – beats. heat capacity of water (Sv = 4200 J / (kg * K)); mw is the mass of heated water (mw = 4.65 kg); tр – equilibrium temperature (tр = 35 ºС); tv – initial water temperature (tv = 13 ºС); Szh – beats. heat capacity of iron (according to the condition Szh = 462 J / (kg * K)); tzh – initial temperature of a piece of iron (tzh = 500 ºС).

Calculation: mzh = Cw * mw * (tr – tb) / (Czh * (tzh – tr)) = 4200 * 4.65 * (35 – 13) / (462 * (500 – 35)) = 2 kg.

Answer: A piece of taken iron has a mass of 2 kg.