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 : (Given : room temperature = `30^(@)C`, specific heat of copper `=0.1 cal//gm^(@)C`)

Options

A. `800^@ C`
B. `885^@C `
C. `1250^@C`
D. `825^@C`

Answer

B

Explanation

Heat given by copper ball = Heat taken by water + Heat taken by calorimeter system.
(100) (0.1) (T-75)= (170) (1) (75 -30) + (100) (0.1) (75 -30)
10 T - 750 = 8100
10 T = 8850
` T = 885^@C`