how to use the bisection method on the van der waals equation Problem 1 (15 Points) The van der Waals equation gives a relationship between the pressure P (in atm.), volume V (in L), and temperature T (in K) for a real gas: P = nRT V ! b ! n2a V2 where n is the number of moles, R = 0.08206 (L atm)/(mole K) is the gas constant, and a (in L2 atm/mole2) and b (in L/mole) are material constants. Consider 1.5 moles of nitrogen (a = 1.39 L2atm/mole2, b = 0.03913 L/mole) at 25° C stored in a pressure vessel. Determine the volume of the vessel if the pressure is 13.5 atm. Use:
(a) The bisection method with a tolerance of 0.001.
(b) Use the Secant method with a tolerance of 0.001.
(c) Use the MATLAB's built-in function fzero. part a and b is by hand