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

Answer

C

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)
10T-750 = 8100
10T = 8850
`T=885^@C`