The vander Waals equation gives a relationship between the pressure p (atm), volume V, (L), and temperature T (K) for a real gas:
p = nRT/V – n2a/V2
where n is the number of moles, R = 0.08206 (L atm)/(mol K) is the gas constant, and a (L2 atm/mol2), and b (L/mol) are material constants.
Consider 1.5 moles of nitrogen (a = 1.39L2 atm/mol2, b = 0.03913 L/mol). Make a 3-D plot that shows the variation of pressure (dependent variable, z axis) with volume (independent variable, x axis) and temperature (independent variable, y axis). The domains for the volume and temperature are 0.3 < v < 1.2 L and 273 < T < 473 K.