Suppose someone pours 0.250 kg of 20.0ºc water (about a cup) into a 0.500-kg aluminum pan with a temperature of 150ºc. assume that the pan is then placed on an insulated pad and that a negligible amount of water boils off. what is the temperature when the water and pan reach thermal equilibriuma short time later?

Answer : The temperature when the water and pan reach thermal equilibrium short time later 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 aluminium =

= specific heat of water =

= mass of aluminum = 0.500 kg = 500 g

= mass of water = 0.250 kg  = 250 g

= final temperature of mixture = ?

= initial temperature of aluminum =

= initial temperature of water =

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

Therefore, the temperature when the water and pan reach thermal equilibrium short time later is,