Watt-hour is watts * hours. This is a unit of energy.
Watts per hour is watts / hours. This is a unit of the rate of the rate of energy consumption.
After converting hours to seconds these units would be equivalent to:
Watt-hours –> Joules
Watts per Hour –> Joules per second per second or Joules / second^2. You might look at this as the acceleration of energy usage.
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