Question

A calorimeter contained 350.0 g of water [cp=4.18 J/(g °C)] at 24.0 °C. An electric current was passed through a heater placed in the water. The heater transferred 16,700 J of energy to the water. What is the final temperature of the water?

Answer 1

cp shows the amount of energy needed to raise temperature by one degree for one gram of water.

Formula for calculating cp is:

`cp= (energy)/((mass)*( temperature_(change) ))) \\ temperature_(change)= (energy)/((mass)*( cp))) \\ \\ temperature_(change)= (16700)/((350)*( 4.18))) \\ \\ temperature_(change)=2.73 \\ \\ temperature_(final) =temperature_(initial)+temperature_(change) \\ temperature_(final)=24 + 2.73 \\ temperature_(final)=26.73`

Final temperature is 26.73°C.