a kilowatt would be whatever your voltage maths out to, to equal 1000 watts. so U.S. would be 120 volts to 8.33~ amps, I’m sure the 60 cycles per second factors in as well but I’m too science-illiterate to get into those details.
looking up the kilojoule conversion process, its kilojoules = watts × seconds / 1000 so if the fridge were converted into a formula as if it was running constantly, not sensing when to turn off and be consistent, that’ll be 86,400 seconds for a day and at 1 kwh, a whole day would be 86,400 kJ so 2.4 hours to be 8640, the power rating for the fridge probably isn’t magical but it is reasonably accurate for its rating so a 1 kw fridge would take around that long, possibly slightly longer as the rating is averaged over long periods of time with reasonable use.
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