Final answer:
The maximum efficiency of a completely reversible heat engine operating between temperatures of 1500 K and 300 K is 80%.
Step-by-step explanation:
The maximum efficiency of a completely reversible heat engine can be determined using the Carnot efficiency formula:
Efficiency = 1 - (Tcold/T)
where Tcold is the temperature of the sink and T is the temperature of the source. In this case, the sink temperature is 300 K and the source temperature is 1500 K, so the efficiency is:
Efficiency = 1 - (300/1500) = 1 - 0.2 = 0.8 = 80%
Therefore, the maximum efficiency of this engine is 80%.