A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm, filled with 170 gm of water at room temperature. Subsequently, the temperature of the system is found to be 75°C. T is given by :?

1 Answer
Aug 2, 2018

Using Law of conservation of energy for a closed system we have

Heat given by copper ball
== Heat taken by water and copper calorimeter .....(1)

Taking room temperature to be =30^@C=30C
Specific heat capacity of copper =0.385\ Jg^-1K^-1
Specific heat capacity of water =4.1813\ Jg^-1K^-1

Inserting various values in (1) we get

(100) (0.385) (T - 75) = (100) (0.385) (75-30)+(170) (4.1813) (75-30)
=> (T - 75) = (38.5 (45)+(170) (4.1813) (45))/38.5
=>T - 75 = 875.8
=>T = 800.8^@ C