Expert: Bobby Soltani - 6/23/2009

Question
I have 19,000 gallon pool with a water temp. of 70 degrees fahrenheit.  I add  50 gallons of water that is 212 degrees fahrenheit.  What will the new pool temp. be?  Please let me know the formula for figuring this out!  Thanks!

Answer
Let the volume v1 = 19000 and the temperature t1 = 70
Let the volume v2 = 50 and the temperature t2 = 212
Let the final temperature be t.

We have v1*t1 + v2+t2 = (v1+v2)t

19000*70 + 50*212 = (v1+v2)t

1340600/(19050) = t

t = 70.373 degrees

Let me know if you have any questions.

Bobby