I thought Wolfram Alpha might be able to help me with this problem, however so far I have had no luck, with the web site nor their community: I have a 1230 gal pool heated by the sun to 70 degrees F, If I remove 30 gal and let the 30 gal be heated in my solar collector to 100 degree F, and then add it back to the pool. What will my new pool temperature be? Is this raise in temperature linear? meaning if continue to do this once every hour via a timer and a pump can I extrapolate how long it will take to raise the pool temperature to 80 degrees? TIA!