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A body of mass 100 g is heated up to 122...

A body of mass 100 g is heated up to `122^(@)C` and dropped quickly in water of mass 300 g kept at `28^(@)C` in a copper calorimeter of mass 50 g. The final temperature of the mixture becomes `30^(@)C.` If the specific heat of copper is `"0.09 cal.g"^(-1).^(@)C^(-1)`, find the specific heat of the material of the body.

Text Solution

Verified by Experts

Let the specific heat of the material be s.
Heat lost by the body `=100xxsxx(122-30)`
`=100xxsxx92="9200 s cal"`
Heat gained by water `=300xx1xx(30-28)`
`=300xx2="600 cal"`
Heat gaind by the calorimeter
`=50xx0.09xx(30-28)=4.5xx2="9 cal"`
We know, heat lost = heat gained
`"or, "9200s=600+9`
`"or, "s=(609)/(9200)="0.0662 cal.g"^(-1).^(@)C^(-1)`
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