Approximate cost per month--Natural Gas Heater

I'm looking to install an approximate 750 SF freeform pool 3.5 to 8 ft deep. I'm guessing that this is in the 37K gallon range, right?

Where I live, the temperature at the beginning of June is about 80 for for the high on June 1 with about 60 for the low averaging 70 degrees. If we would like to occasionally heat the pool over the course of the month to 82 degrees, what is the approximate cost per day to increase the temperature to 82 degrees for an appropriately sized natural gas heater?

Feel free to state you experience with natural gas heaters. Thank you.
 
Depends on the cost of your gas. It takes 1 BTU to heat 1 pound of water 1 degree F. Calculate the mass of your water and then determine the number of degrees you want to heat it to give you the asking of BTU it will take. Although this ignores losses to evaporation and radiation to the environment.

Short answer for your pool is a lot of $ ;)
 
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