Calculate the net work output of a heat engine following path ABCDA in Figure 14.30, where horizontal axis is V and each unit is 0.5*10^-3 m^3, V1 = 1.0*10^-3 m^3 and V2 = 4.0*10^-3 m^3. The vertical axis is P(N/m^2);

A is (1.0*10^-3,2.6*10^6),
B is (4.0*10^-3,2.0*10^6),
C is (4.0*10^-3,0.6*10^6),
D is (1.0*10^-3,1.0*10^6).

I can't copy the figure. I hope someone can understand and help me to solve the problem.

Net work is basically the area inside the closed loop

To calculate the net work output of a heat engine following path ABCDA in Figure 14.30, you will need to use the formula for work done by a gas:

W = ∫PdV

In this equation, W represents work, P represents pressure, and dV represents a small change in volume.

To find the net work output, you need to integrate the pressure-volume curve along the given path. Since the path is given by the points A, B, C, and D, you will need to divide the path into smaller segments and integrate the pressure for each segment.

Let's break down the steps to find the net work output:

Step 1: Divide the path into segments.
- Segment AB: This segment goes from point A to point B along the x-axis.
- Segment BC: This segment goes from point B to point C along the y-axis.
- Segment CD: This segment goes from point C to point D along the x-axis.
- Segment DA: This segment goes from point D back to point A along the y-axis.

Step 2: Calculating work for each segment.
- For segment AB, the work done is given by the formula W = ∫PdV, integrated from V1 to V2, where V1 is the x-coordinate of point A and V2 is the x-coordinate of point B.
- For segment BC, the work done is given by the formula W = ∫PdV, integrated from V2 to V3, where V3 is the y-coordinate of point C.
- For segment CD, the work done is given by the formula W = ∫PdV, integrated from V3 to V4, where V4 is the x-coordinate of point D.
- For segment DA, the work done is given by the formula W = ∫PdV, integrated from V4 to V1.

Step 3: Calculate the net work output.
- The net work output of the heat engine is the sum of the work done in each segment: Net Work Output = WAB + WBC + WCD + WDA.

Now, you can substitute the given values of coordinates and intervals to calculate the net work output of the heat engine by evaluating each integration for each segment.