# Find the Common temperature

959 2 0

1. ### OP iffy525 not famous Member Level 3

Joined:
Jul 18, 2007
Messages:
751
Country:
EDIT: I have the answer now, thanks Veho.

2. ### Veho The man who cried "Ni". Former Staff Level 21

Joined:
Apr 4, 2006
Messages:
10,033
Country:
The temperature change in a substance is proportional to the amount of heat energy released or gained. The colder substance receives the same amount of energy that the hotter substance releases.

The temperature of thermal equilibrium is X.

Q1 = Q2 = the heat energy released by the hotter substance and received by the colder one.
c1 = the heat capacity of the colder substance.
c2 = heat capacity of hotter substance.

(X - 20) * c1 * m1 = Q1 ---> difference in temperature in the colder substance.

(100 - X) * c2 * m2 = Q2 -----> difference in temperature in the hotter substance.

Q1 = Q2.

It's two equations with two unknowns, X and Q. And you don't even have to find the Q.

Do the math

EDIT: Just a few corrections.

3. ### OP iffy525 not famous Member Level 3

Joined:
Jul 18, 2007
Messages:
751
Country:
Ok, cool, I think I got the gist of it now. Thanks for your help.

Draft saved Draft deleted