The van der Waals equation gives a relationship between the pressure P (atm), volume V (L) and temperature T (K) for a real gas: NRT n²a P=V-nb vz Where n is the number of moles, R = 0.08206 Latm/mole.K is the gas constant and a (L2.atm/mole²) and b (L/mole) are material constants. Consider 1.5 moles nitrogen (a = 1.39 Latm/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. Solve by using Newton-Raphson and compare your answer with Bisection method.