The Redlich-Kwong equation of state is given by RT a v - b v(v + b)/T where R = the universal gas constant = 0.518 kJ/(kg K)J. T = absolute temperature (K). p= absolute pressure (kPa), and v = the volume of a kg of gas (m/kg). The parameters a and b are calculated by R T2.5 a = 0.427 Pe b = 0.0866 R- Pe where pe = critical pressure (kPa) and T = critical temperature (K). As a chemical engineer, you are asked to determine the amount of methane fuel (P. = 4600 kPa and T, = 191 K) that can be held in a 3-m' tank at a temperature of –40 C with a pressure of 65,000 kPa. Use a root-locating method of your choice to calculate v and then determine the mass of methane contained in the tank.