 Hello, this is Steven Nesheva, and I'm here to help you out with the visualizing thermodynamic surfaces, CGI. So when you get into the Jupiter hub, this is what you'll be looking at. There's the ideal gas law, and there's the van der Waals equation, and there's the expression for the percent error. So those equations 1, 2, 3, that you were to copy into your comp book. Also, units for energy, pressure, temperature, and volume in the leader atmosphere unit system, the energy is leader atmospheres, pressures, atmospheres, temperatures, Kelvin, volume is leaders. Let's see the gas constant has a value of 0.082 in the system, and the values of the van der Waals parameters A and B. Well, you need to go to the Wikipedia site or somewhere else for that, and I've looked those up for argon, and I've done the conversion for argon, which says that A will be equal to 1.338. So I'm gonna go ahead and modify this cell here, so that's 1.338, and B was 0.032, and that's in that unit system for argon, and but let's see before I do that, I should execute this first cell, which is a shift enter, okay? And now I'm going on to this one. Let's see, r is 0.082, but remember in our instructions here, I wanted a temperature of 300 and a volume of 25, so I'm gonna change those parameters accordingly. Let's see, I've got one mole, everything else looks pretty good here, so I'm gonna go ahead and execute that, and one way to be sure that we've got everything right is that the ideal gas came out to be pretty close to one atmosphere. All right, now I'm gonna generate a range of volumes, and you can see that Lenspace is gonna give me 5 to 40 liters, but the instructions said go from 10 to 40, so I'll change that to 10, and execute that one, and I can see, oh, it started at 10, ended up at 40, everything is good there. Let's see, you get the pressure of an ideal gas, and I think I don't have to do anything new here, I'm just good to go, and so that generates that graph, that's kind of nice. This is a boil isotherm, of course, pressure on this axis and volume on that axis, and let's see, and well, if I were doing this for real, I would need to do a boil isotherm, or of a Vanderbals gas, and get the air, but I want to go on and make sure I get to the grids, so I'm gonna do this. Let's see, the instructions also said to go from 250 to 350, so I'm gonna change that, and let's see, oh, the volume is again from 10 to 40, so I'll go ahead and do that, that looks pretty good. Now I'll calculate the graph and plot the thermodynamic surface, and that's what we get, and the other thing I just want to show you is that if you click on the surface and hold down the mouse button, you can rotate it around, and that's the basic idea.