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1 BTU = 1.055 kilojoules. I'm not sure what you mean by 'BTUday'. BTU is a quantity of energy, so BTU x Day has no meaning. BTU/day is a rate of energy, ie power. KW is a rate, and KWh a quantity. So what are we comparing?

1 BTU/sec = 1.055 kJ/sec = 1.055 KW. So 1.055 KWsecs = 1 BTU, 1 KWh = 3412 BTU. It also follows that 3412 BTU/hour = 1 KW.

Hope this has helped. Just remember to compare quantity with quantity, and rate with rate, and don't mix them up.

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