The Redlich-Kwong equation of state is given by _ RT a p \"5? u{u+b)\\/T where R = the universal gas constant [= 0.518k1ftkg Kl]. T = absolute temperature (K). p = absolute pressure (kPa), and u = the volume of a kg of gas (m3l'kgl. The parameters o and b are calculated by 2 2.5 R T' b = RE Fr: Fr a = {1.427 where p; = critical pressure {kPa} and T; = critical temperature (K). As a chemical engineer. you are asked to determine the amount of methane fuel (pr = 4600 kPa and Tc = 191 K) that can be held in a 3-1113 tank at a temperature of 4DC with a pressure of 65 .000 kPa. Use a root-locating method of your choice to calculate u and then determine the mass of methane contained in the tank