A kilowatt is a rate; a kilowatt-hour is the energy that rate delivers in an hour.
- Kilowatt (kW)
- Power — how fast energy is flowing right now. It is an instantaneous quantity.
- Kilowatt-hour (kWh)
- Energy — an amount that has accumulated. This is what your meter counts and your bill charges.
- Load factor
- Average power ÷ peak power over a period. Low load factors mean expensive demand charges.
The phrase mixes a rate with a duration. A 5 kW load running for 8 hours uses 40 kWh — never "40 kW per hour".