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Mixing different temperatures of water...?

by Dmitri10
Tags: mixing, temperatures, water
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Jan13-10, 10:08 PM
P: 19
"What would be the final temperature if you mixed a liter of 20 degrees C water with 2 liters of 40 degrees C water?"

My teacher assigned us several problems like these without bothering to explain them. I have a hunch that they are embarrassingly simple to complete, but I know not how to find the solutions. The only equation we've been given to this point is Q = mcΔT.

ANY help would be appreciated. Thanks in advance.
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Jan13-10, 10:31 PM
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Q is the heat energy. The amount of heat coming out of the hotter water is equal to the amount of heat going into the cooler water. Suppose the final temperature is T (somewhere between 20 and 40 degrees). Find the change in heat for each mass of water and equate them. Then solve for T.

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