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It will take 300000 btus at 12000 a ton and a ton of air will be 400 sq feet so. 10000 sq ft divided by 400 is 25 tons of air then multiply 25 times 12000 btus and you get 300000
You would need to remove approximately 1200 BTUs of heat to convert a gallon of water to ice. There are 8.34 lb in a gallon of water, which converting to lb-moles is 0.463. The latent heat of crystallization for water is -2583.4 BTU/lb-mole. Multiplying the two together and you get -1197 BTUs, which means you need to remove that amount of heat to convert the gallon of water to ice.
This depends greatly on the region in which you live. In California 700 square feet would require only about 30,000 BTU. In Vermont, probably twice that much would be adequate. It also depends on insulation and weather sealing.
212 - 80 = 132 degrees temperature increase x 1 pound water = 132 BTU
The amount of feet per btu varies according to many factors such as how tall the ceiling is or how many windows there are. In most houses, usually you need about 20 to 22 btu per square foot. So, divide 15000 by these and you get it will heat anywhere from about 680 to 750 square feet.