Final answer:
The mechanical power output of the Carnot engine is 21003 W.
Step-by-step explanation:
A Carnot engine operates in a Carnot cycle between the hot reservoir at a temperature T1 = 345°C and the cold reservoir at a temperature T2 = 84.0°C. The engine absorbs 21003 J of energy per cycle from the hot reservoir. The duration of each cycle is 1.00 s. We can calculate the mechanical power output of the engine using the equation:
Power = Energy / Time
Substituting the given values:
Power = 21003 J / 1.00 s
Therefore, the mechanical power output of the engine is 21003 W.