Watt-hours is the total electrical energy supplied if a watt is sustained for one hour, or 3600 joules.
A watt is a rate of energy transfer. It doesn’t make much sense to say “watts per hour” since you are saying a rate per unit of time. Like “mph per hour”. In this case you would essentially be describing a rate of acceleration of energy transfer instead of watt-hours which is a specific amount of energy.
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