A piece of hot copper of mass 4.00 kg has it's temperature decrease by 36.90 ºC when it is placed in a body of water of unknown mass. The temperature of the water is raised by 9.20 ºC. What is the mass of the water?

The heat capacity of Water is 4181 J/kg ºC.

The heat capacity of Copper is 385 J/kg ºC.

1.48 kg

Explanation:

mass of copper = 4 kg

Decrease in temperature of copper = 36.9°C

increase in temperature of water = 9.20°C

Let the mass of water is m.

Specific heat of water = 4181 J/Kg°C

Specific heat of copper = 385 J/kg°C

According to the principle of caloriemetery

Heat lost by copper = heat gained by water

mass of copper x specific heat of copper x decrease in temperature = mass of water x specific heat of water x increase in temperature

4 x 385 x 36.9 = m x 4181 x 9.20

56826 = 38465.2 m

m = 1.48 kg

Thus, the mas of water is 1.48 kg.

mas of water