100 g of sunflower oil is poured into the calorimeter at a temperature of 20 degrees.

100 g of sunflower oil is poured into the calorimeter at a temperature of 20 degrees. Then a copper piece with a mass of 50 g, heated to 200 degrees, is thrown into the oil. What is the oil temperature in the calorimeter?

To find out the steady-state temperature of sunflower oil, consider the equality (heat balance):

Spm * mpm * (tc – tnpm) = Cm * md * (tnd – tc).

Const: See – beats. heat capacity of copper (Cm = 400 J / (kg * K)); Spm – beats heat capacity of sunflower oil (Spm = 1700 J / (kg * K));

Data: md is the mass of the copper part (md = 50 g = 0.05 kg); tnd is the initial temperature of the part (tnd = 200 ºС); mpm is the mass of sunflower oil (mpm = 100 g = 0.1 kg); tнпм – initial temperature of sunflower oil (tнпм = 20 ºС).

Calculation: 1700 * 0.1 * (tk – 20) = 400 * 0.05 * (200 – tk).

170tk – 3400 = 4000 – 20tk.

170tk + 20tk = 4000 + 3400.

190tk = 7400.

tк = 7400/190 = 38.95 ºС.

Answer: Sunflower oil should have reached a temperature of 38.95 ºС.