Heat Rate is BTU/KWh , energy /energy
not BTU/MWe which is energy/power
gmax's numbers are reasonable.
My Nuke plant ran around 10,800, once when visiting at Indian Point i saw 10,400 .
My utility bought a natural gas combined cycle (gas turbine with heat recovery boiler) that had an advertised heat rate of 6,000 . But i never got to see whether it actually made that.
The BTU to KWh conversion is between 3413 to 3412 depending what source you cite.
Sp 100% efficiency would be heat rate of ~3413
and actual efficiency would be 3413/(heat rate)
so a heat rate of 10,000 is efficiency of 3413/10,000 X100 = 34.13%
and that combined cycle heat rate of 6,000 would be 3413/6,000 = 56.8%. That's fabulous !
The reason we use heat rate instead of efficiency is simple- it comes from the old method of measurement.
We track fuel input to the boiler - barrels of oil, tons of coal, cubic feet of natural gas, whatever we're burning that day
and multiply that by the heat content of that fuel as measured by sampling it and sending to our lab
and that gives us the day's heat input.
We also track KWh from the meters on the panel - they're similar to the one on your house
dividing the heat in by kwh out gives us heat rate .
Before computers this was done longhand on paper .
and that's why the old fashioned unit .
My fossil units ran in the 8,000's. That was before emission controls , 10.000 is more typical nowadays.
https://www.statista.com/statistics/186397/average-operating-heat-rates-by-source-in-the-us/
2016 statistics :