An ideal gas undergoes a cyclic transformation starting from the point $$A$$ and coming back to the same point by tracing the path $$A \rightarrow B \rightarrow C \rightarrow A$$ as shown in the diagram. The total work done in the process is _____ J.

1. Enclosed Area Calculation

• Geometric Calculation: The net work done throughout the cyclic sequence is equal to the area enclosed inside the triangular boundary of path A → B → C → A.
• Dimension Boundaries: The pressure base along segment AC spans from 10 kPa to 30 kPa (a change of 20 kPa). The volume height along segment AB spans from 10 dm³ to 30 dm³ (a change of 20 dm³).

2. Final Value Conversion

• Unit Normalization: Converting kilopascals and cubic decimeters to standard SI units allows their scale factors to neutralize each other perfectly during calculation. Multiplying half the base by the height yields the absolute magnitude of work energy.
• Correct Numerical Answer: 200