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[Ignore me, I misread. Original comment below.]

> 5kW (that's 5kWh per hour)

It's 5kW for an hour - but I think you understand that, and implicitly mean something like 'per hour continuously/on average over time' (where the 'over time' makes us dimensionally ok again).

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OP's comment makes perfect sense to me, but how I have read your comment three times without understanding what it is you want to communicate?

Yeah, I re-read, realise I just said the same thing in reverse. I misread as other commenter having the kW/kWh other way around. Ignore! (I'd delete, but can't after reply.)

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