The Redlich-Kwong equation of state is given by P = RT/v-b – a/v(v+b)ÖT Where R=gas constant for methane (0.518kj/(kg k) T= absolute temperature, K P= absolute pressure, kPa V= specific volume, m3/kg The parameters a and b are calculated by a = 0.427R2T2.5c/Pc,   and  b = 0.0866R Tc/Pc Where Pc = 4600kPa,     Tc = 191 K As a chemical engineer you are asked to determine the amount of methane fuel that can be held in a 3m3 tank at a temperature of -40 °C with a pressure of 65,000 kPa. Determine the value of v, and then determine the mass of methane contained in the tank. (Note that you need to change T to an absolute temperature) a) Solve this completely using the symbolic algebra capability in MATLAB. b) Solve using a numerical method of your choice. The root is between 0.0025 and 0.004 mÙ3/kg. Assign a convergence factor in your calculations, es, such that the answer will have at last 3 significant figures.