## Heat Capacities

Rachael_1H
Posts: 31
Joined: Fri Sep 25, 2015 3:00 am

### Heat Capacities

20 grams of Copper at 100 degrees celsius is put in a vessel containing 50.7 grams water at 22 degrees celsius. Assume no energy is lost to surroundings. When finding the final water temperature, why do you set the +(heat released)= -(heat absorbed)?

Why do you make the "heat absorbed" negative?

Ani Galfayan 1H
Posts: 27
Joined: Fri Sep 25, 2015 3:00 am

### Re: Heat Capacities

In a perfect system q(sys) + q(surr) = 0. This occurs when there is no loss of heat. The surrounding "gains" what the system "loses" and the surrounding "loses" what the system "gains". (heat lost) + (heat gained) = 0
When you rearrange that equation you get q(sys) = -q(surr) which means that
(heat lost by the metal)= - (heat gained by water).
To explain the negative in terms of thermodynamics; when heat is lost the value is negative, so to make the equation true, a negative is placed where the heat is gained.
(- value) = - (+ value)