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A copper ball of mass 100 gm is at a tem...

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`)

A

`1250^(@)C`

B

`825^(@)C`

C

`800^(@)C`

D

`885^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D
According to principle of calorimetry,
Heat lost = Heat gain
`100xx0.1(-75)=100xx0.1xx45+170xx1xx45`
`10-750=450+7650`
`10=1200+7650=8850`
`T=885^(@)C`
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