Find the Common temperature

[iffy525]

EDIT: I have the answer now, thanks Veho.

 

[Veho]

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.

 

[iffy525]

Ok, cool, I think I got the gist of it now. Thanks for your help.