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Answered 2011-08-27 08:53:53
{Sigh} I hate English units.
A BTU is defined as the amount of heat required to raise the temperature of 1 lb of water by 1 deg F.
The basic relation is
Q = mcdT
Heat = mass * heat capacity * change in temperature.
A gallon of water weighs about 8 lb, so you're talking about 500,000 gal * 8 lb/gal = 4 million pounds.
The constant c for water, by the definition given above is 1 Btu/lb-deg F.
So
Q = 4 million pounds * 1 Btu/lb-degF * 32 deg F = 128 million BTU
Note: 500,000 gal should be changed to 1250 gal or 3.2 million BTU?
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