How is kJ/h the same as kWh in energy measurements?

[TSN79]

I'm having trouble understanding some basic energy stuff. I know that kiloWatt is kJ/s, and if you divide by 3600s instead you get kWh. But wouldn't you just get kJ/h? How is that equal to kWh?

 

[Tide]

If you divide kJ/s by 3600 s then you get kJ/s^2 which would represent the rate of change of power.

What you mean to do is to multiply power (kJ/s) by time to get energy (kJ). A "kilowatt hour" is the amount of energy conveyed in 1 hour = 3600 seconds when power is used or produced at a constant rate of 1 kW = 1,000 W.