Pressure-Volume Diagram

The pressure-volume diagram shows the relationship between pressure and volume of a closed system. It is a graphical representation of the thermodynamic process that occurs within the system.

Calculating Net Work Done

The net work done for the closed system can be calculated by finding the area enclosed by the closed loop on the pressure-volume diagram. The net work done is equal to the area enclosed by the loop.

Understanding the Diagram

To calculate the area enclosed by the loop, we need to understand the process that is occurring within the system. In this diagram, the system starts at point A, where the volume is 1 m3 and the pressure is 1 bar.

The system undergoes an isobaric process from point A to point B, where the volume increases from 1 m3 to 2 m3 and the pressure remains constant at 1 bar.

From point B to point C, the system undergoes an isochoric process, where the volume remains constant at 2 m3 and the pressure increases from 1 bar to 2 bar.

Finally, the system undergoes an isobaric process from point C back to point A, where the volume decreases from 2 m3 to 1 m3 and the pressure remains constant at 2 bar.

Calculating the Area

To calculate the area enclosed by the loop, we need to break it down into simpler shapes. The loop can be divided into two rectangles and a triangle.

The first rectangle has a base of 1 m3 and a height of 1 bar, so its area is 1 bar-m3. The second rectangle has a base of 1 m3 and a height of 2 bar, so its area is 2 bar-m3.

The triangle has a base of 1 m3 and a height of 1 bar, so its area is 0.5 bar-m3.

Adding up the areas of these shapes gives us a total area of 3.5 bar-m3. Therefore, the net work done for the closed system is 3.5 bar-m3.