A29.950 g sample of an unknown metal is heated to 100.0 °c. the metal is then poured into 50.0 g of water in an insulated coffee cup calorimeter. the temperature of water rises from 25.0 ºc to 27.7 ºc. what is the specific heat of the metal?

Answer : The specific heat of metal is,

Explanation :

In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

where,

= specific heat of unknown metal = ?

= specific heat of water =

= mass of unknown metal = 29.950 g

= mass of water = 50.0 g

= final temperature of water =

= initial temperature of unknown metal =

= initial temperature of water =

Now put all the given values in the above formula, we get

Therefore, the specific heat of metal is,