# Question #9a262

##### 2 Answers

The symbol

As you know, the formula for calculating heat gained is

In your case, you have a metal that is probably heated and then placed in water. The water would heat up by a number of degrees, while the metal would cool down by a much greater number of degrees. The heat *lost by the metal* will be equal to

This will get you

Since the metal is cooling off, its final temperature will be lower than its initial one, so

As a conclusion,

The equation for heat and temperature change is:

Where

If

If you want to determine

And it then depends how you supplied the heat. If you do this electrically (by a heating element) the other half of the equation becomes:

Where

Assuming there are no losses (but there always are), you can set