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
Specific heat capacity of copper
Specific heat capacity of water
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