Use Bisection Method, Method of False Position or Newton-Raphson Method

There are several equations of state available. The Redlich-Kwong equation of state is given by P = RT/v - b - a/v(v + b) Squareroot T where R is the universal gas constant, T is the absolute temperature (K), P is the absolute pressure (kPa), and v is the volume of a kilogram of gas (m^3/kg). The parameters a and b are calculated by: a = 0.427 R^2T_c^2.5/P_c b = 0.0866 T_c/P_c where P_c = 4600 kPa and T_c = 191 K. As a chemical engineer, you are asked to determine the amount of methane fuel that can be held in a 3-m^3 tank at a temperature of -40 degree C with a pressure of 65,000 kPa. Use an open locating method of your choice to calculate v and then determine the mass of methane contained in the tank. Use a tolerance limit of 0.00001% absolute error. Create a SCILAB program that will calculate v and the mass of methane contained in the tank.