1. A Van der Waal's equation is given by: (P+v2a)(vb)=RT The constants for nitrogen are: a=1.35106atm(cm3/gmole)2,b=38.64cm3/gmole and the universal gas constant: R=82.06atm.cm3/ gmole. K The constants show that the pressure (P) is in atm and the gas temperature (T) is in K whereas the molar volume is in cm3/gmole. Determine the molar volume v of nitrogen at T=100C and P=50atm. a. Use Newton-Raphson technique. (start with initial value of v=240cm3/ gmole) b. Use the fixed point iteration method. (8 marks)