Final answer:
The net work output of a heat engine following path ABDA is less than for path ABCDA because the straight line from B to D in path ABDA involves less area under the curve on a PV diagram, which represents the work done by the engine.
Step-by-step explanation:
The net work output of a heat engine following path ABDA is less than for path ABCDA because the straight line from B to D in path ABDA involves less area under the curve on a PV diagram, which represents the work done by the engine.
The net work output of a heat engine is given by the area enclosed by the closed loop on the PV diagram. When a straight line is followed from B to D, the area enclosed by the loop is smaller compared to path ABCDA, resulting in a lower work output.