Two copper bolts of equal mass - one at 82°C, the other at 21°C - are placed in an insulated container. Assuming the heat capacity of the container is negligible, what is the final temperature (in °C) inside the container (c of copper = 0.387 J/gK)? Enter to 0 decimal places.

Answer : The final temperature inside the container is,

Explanation :

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

As per question, heat capacity of the container is negligible and mass is also equal. So, the formula will be:

where,

= specific heat of copper

= specific heat of another copper

= mass of copper

= mass of another copper

= final temperature of mixture = ?

= initial temperature of copper =

= initial temperature of another copper =

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

Therefore, the final temperature inside the container is,