What is the final temperature of a system if 13.00 g of gold at 90.0°c is placed in 13.00 g of water at 26.00°c? the molar heat capacity of gold is 25.41 j/(mol · °c) and the heat capacity of water is 4.18 j/(g · °c).

Answer : The final temperature of the system 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 gold =

Note : Molar heat capacity of gold =

Heat capacity of gold =

= heat capacity of water =

= mass of gold = 13.00 g

= mass of water = 13.00 g

= final temperature of system = ?

= initial temperature of gold =

= initial temperature of water =

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

Therefore, the final temperature of the system is,

c) should be the answer.