You are trying to determine the specific heat of a metal. You heat the 97 g piece of metal to 100 °C and place it in a calorimeter with 122 g of water. The temperature of the water increases from 20.0 °C to 28.9 °C. What is the specific heat of the metal?

Answer : The specific heat of the 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 metal = ?

= specific heat of water =

= mass of metal = 97 g

= mass of water  = 122 g

= final temperature of mixture =

= initial temperature of metal =

= initial temperature of water =

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

Therefore, the specific heat of the metal is,

h let me think