Final answer:
The power of the Carnot engine is 2 kW.
Step-by-step explanation:
The power of an engine can be calculated using the formula:
Power = Work / Time
In this case, the work done by the engine is the heat absorbed per cycle, which is 10 kJ. The time taken for each cycle is given as 5 seconds.
Therefore, the power of the engine can be calculated as:
Power = 10 kJ / 5 sec = 2 kW
Hence, the power of the engine is 2 kW (option b).