From my experience don't we we always measure electricity in kWh? Of course unless I've been getting everything wrong.
Yes we do, but that is how much was used, not the rate. You have to think of it this way: Watts = speed, KWh = distance.
Your computer is cruising along at 315W on the highway. After 1 hour it will have gone .315KWh. After 4 hours it will have gone 1.260 KWh.
KWh is a measurement of power used. That is how your power company charges you... based on how many KWh you consumed. 1KWh is equal to using 1000W for 1 hour, or 100W for 10 hour, or 10W for 100 hours.
And Watts per hour is not the same unit as KWh, or Wh.
(Watts/1000) * Hours = KWh
Watts/1000) * Hours / Hours = KW
KW * 1000 = Watts
Watts * hours = Wh
Wh/1000 = KWh
Watts/Hours = WTF? Actually, that would technically be a form of electrical acceleration. (Speed/time) m/s/s is acceleration. 10Km/h per hour means speeding up by 10Km/h every hour. So 10W per hour (10Joules/s/h) would mean using 10W more power every hour, after 10 hours you would be using 1000W and be blowing your power supply.
Can you believe I dropped out of engineering?
P.S I forget if 1 Watt equals 1 joule per second, or 1000 joules per second. So correct me if I am wrong. Been a while.