Physics Help Forum Question regarding transfer of heat between two bodies of water.

 Feb 5th 2014, 08:46 PM #1 Junior Member   Join Date: Feb 2014 Posts: 1 Question regarding transfer of heat between two bodies of water. If 500mg of water at -10c is added to another to another body of water 3000mg at 20c what is the final temperature of the 3500mg of water? I tried this equation ((500 * 10) + (3000 * 20)) / (500+3000) = 18.57 ((Va * Ta) + (Vb * Tb)) / (Va+Vb) = Tf Va = volume in tank A whose temperature is Ta Vb = volume in tank B whose temperature is Tb Tf = the temperature of the water after mixing. Thanks, I am a political "science" major and just enjoy learning about hard science in my spare time.
Feb 6th 2014, 10:16 AM   #2
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Join Date: Dec 2009
Posts: 209
Hello

 Originally Posted by egarci43 If 500mg of water at -10c is added to another to another body of water 3000mg at 20c what is the final temperature of the 3500mg of water? I tried this equation ((500 * 10) + (3000 * 20)) / (500+3000) = 18.57 ((Va * Ta) + (Vb * Tb)) / (Va+Vb) = Tf Va = volume in tank A whose temperature is Ta Vb = volume in tank B whose temperature is Tb Tf = the temperature of the water after mixing. Thanks, I am a political "science" major and just enjoy learning about hard science in my spare time.
I would say your approach seems reasonable. Although you wrote the temperature of volume A is -10 and yet you used +10 in your calculation. So try using:

((500 * -10) + (3000 * 20)) / (500+3000) = 15.714

I have not checked into the validity of this approach, but intuitively speaking it makes sense to me. Hopes this helps. Craig

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