The ideal gas equation states that P = nT, where P is the pressure, V is thevolume, T is

Chapter 3, Problem 28

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The ideal gas equation states that P = nT, where P is the pressure, V is thevolume, T is the temperature, R = 0.08206 (L atm)/(mol K) is the gas constant,and n is the number of moles. Real gases, especially at high pressure,deviate from this behavior. Their response can be modeled with the van derWaals equationp =nRT _n2aV-nb J12where a and b are material constants. Consider 1 mole ( n = 1 ) of nitrogengas at T = 300K. (For nitrogen gas a = 1.39 (L 2 atm)/mol2, and b = 0.0391L/mol.) Create a vector with values of Vs for 0.1 V 1 L, using incrementsof 0.02 L. Using this vector calculate P twice for each value of V, once usingthe ideal gas equation and once with the van der Waals equation. Using thep -P two sets of values for P, calculate the percent of error ( ide waals 100) forwaalseach value of V. Finally, by using MATLAB's built-in function max, determinethe maximum error and the corresponding volume.