How Do You Calculate the Final Temperature of Mixed Fluids?

AI Thread Summary
To calculate the final temperature when two fluids with known temperatures and heat capacities are mixed, first determine the total energy by summing the product of each fluid's temperature and heat capacity. The equation to use is E = T (C_1 + C_2), where E represents total energy, C_1 and C_2 are the heat capacities of the fluids, and T is the final equilibrium temperature. By solving this equation, you can find the temperature at which both fluids reach thermal equilibrium. This method effectively combines the principles of thermodynamics to solve the problem. Understanding this calculation is essential for physics tests involving heat transfer.
Freidrichen
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Hi
I'm having a test in physics in school tomorrow and would need some help on the following problem:

Two fluids with knows temperatures and known capacity (or whatever it is called. C anyway) are poured together and after a while they have the same temperature.
How can one calculate that temperature?

Thanks in advance.
//Freidrichen
 
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First calculate the total energy, which is the sum of T \times C for each fluid. Then you say that they end up with the same temperature so you have to solve
E = T ( C_1 + C_2 )

where E is the total energy and the C's are the two heat capacities and here T is the temperature they end up at (which you are trying to determine).

Matt
 
Ok
Thanks alot!

//Freidrichen
 

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