You will be calculating a number of carbon dioxide (CO₂) properties using the van der Waals (VDW) equation of state (EoS). For each calculation, compare your results with ones calculated using NIST's thermophysical property estimator: ( by plotting the NIST data on the same plot as the VDW calculations. A table of the CO₂ properties has been uploaded to Canvas. Perform all calculations from -55 °C to the critical point of CO₂ using step sizes no larger than 10 °C. Hint: Do NOT attempt to solve this problem by hand, use a computer tool (i.e., Matlab). Calculate and plot the vapor pressure (in atm) as a function of temperature as calculated with the VDW EOS. On a P vs. V diagram, plot the specific volume of the liquid and vapor phase (i.e., the 2-phase boundary). Use units of atm for pressure, L/mol for specific volume, and use a log-log plot. Using the Clapeyron equation, calculate and plot the ASvap and AHvap as a function of temperature using only data generated with the VDW EoS. Hint: numerically approximate dpap/dr. Which properties are accurately predicted by the VDW EoS? Which properties have the greatest difference with the NIST data?