Gas stove burners are rated in BTU; electric burners in W. I can convert watts to BTU/hr, or BTU to kWh. They have different dimensions.
When they tell me a burner is 10,000 BTU, I wonder – is that if it’s left on for an hour? That seems to be the only way to make the units match.
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1 BTU = 1 055.05585 joules
1Watt = 1joule/s
Therefore 1BTU/hr=1 055.05585joule/hr = 29307.1Watt
I suppose that the answer to your second question maybe : yes
The rating should be 10,000 Btuh, the h is left off rather too often.
To see how to do the conversion, see Ref 1.
Experimentally. Measure the amount of time to boil water in the same container, same volume of water, same ambient temperature, same air flow, same starting temperature.
Yes BTUs’ are rated per hour.
An electric burner would be rated in watts, which when left on an hour would be watt-hours.
To convert watt-hours to BTU, multiply the watt rating of the burner times 3.412 = BTU.
Easy!
Hope this answers your burning question.
Sorry couldn’t resist.