How Do You Calculate the Final Temperature of Mixed Fluids?

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SUMMARY

The final temperature of mixed fluids can be calculated using the equation E = T (C₁ + C₂), where E represents the total energy, T is the final temperature, and C₁ and C₂ are the heat capacities of the two fluids. The total energy is determined by summing the products of the initial temperatures and their respective heat capacities. This method ensures that both fluids reach thermal equilibrium at the same temperature.

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  • Knowledge of the concept of thermal equilibrium
  • Basic physics principles related to temperature and energy transfer
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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 [tex]T \times C[/tex] for each fluid. Then you say that they end up with the same temperature so you have to solve
[tex]E = T ( C_1 + C_2 )[/tex]

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 a lot!

//Freidrichen
 

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