A21.6−g sample of an alloy at 93.00°c is placed into 50.0 g of water at 22.00°c in an insulated coffee-cup calorimeter with a heat capacity of 9.20 j/k. if the final temperature of the system is 31.10°c, what is the specific heat capacity of the alloy?

Answer : The specific heat capacity of the alloy

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 alloy = ?

= specific heat of water =

= mass of alloy = 21.6 g

= mass of water = 50.0 g

= final temperature of system =

= initial temperature of alloy =

= initial temperature of water =

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

Therefore, the specific heat capacity of the alloy