The calorimeter contains water with a mass of 150g at a temperature of 18 degrees Celsius

The calorimeter contains water with a mass of 150g at a temperature of 18 degrees Celsius. If you place a body weighing 80g and a temperature of 100 degrees Celsius in this water, after a while the final temperature of the water in the calorimeter will be equal to 70 degrees Celsius. Determine the specific heat of the body.

mw = 150 g = 0.15 kg.

t1 = 18 “C.

Cw = 4200 J / kg * “C.

mt = 80 g = 0.08 kg.

t2 = 100 “C.

t3 = 70 “C.

St -?

The amount of heat Qt that the body will give up is determined by the formula: Qt = CT * MT * (t2 – t3), where CT is the specific heat capacity of the body, MT is the body weight, t2, t3 are the initial and final body temperature.

The amount of heat Qw, which is necessary for heating water, is determined by the formula: Qw = Cw * mw * (t3 – t1), where Cw is the specific heat capacity of water, mw is the mass of water, t1, t3 are the initial and final water temperatures.

Qt = Qv.

St * mt * (t2 – t3) = Cw * mw * (t3 – t1).

Cт = Cв * mв * (t3 – t1) / mt * (t2 – t3).

St = 4200 J / kg * “C * 0.15 kg * (70” C – 18 “C) / 0.08 kg * (100” C – 70 “C) = 13650 J / kg *” C.

Answer: the specific heat capacity of the body is Cт = 13650 J / kg * “С.