# Thinking Question on Latent Heat, Help?

##### 1 Answer

Final temperature is

Mixture is

#### Explanation:

We know that in such interactions heat is gained by one and heat is lost is by the other.

Also that the heat gained/lost is given by

where

In the given problem heat is lost by steam and gained by ice.

We know that latent heat of fusion of water

In the given question ice is at

Step. 1. It is clear that ice will melt and will become water at

On the other hand we have

Comparing (1) and (2) we assess that we have excess heat from (2) which can be given to ice to melt it.

Now comparing heat lost with heat gained in (1), (2) and (3), the required heat for melting of ice will be provided by change of state of steam.

Difference between the heat lost and gained

Step 2.

Now the difference between heat gained and heat lost from (1) to (4)

This can be supplied by

The remaining steam at

Since both the components are now at the same temperature, there is no further exchange of heat.