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5. The Redich-Kiwong equation of state is given by where R-universal gas constant [ = 0.518 kJ/(kg-K), T = absolute temperature (K), p absolute pressure (kPa), and vvolume of a kg of gas (m/kg). The parameters a and b are calculated by: b = 0.0866 Pc Pc where pe4600 kPa and T191 K. As a chemical engineer, you are asked to determine the amount of methane fuel that can be held in a 3-m3 tank at a temperature of -40 C with a pressure of 65,000 kPa. Use any previously developed m-file for root-finding (includes textbook m-files and problem 3) to calculate v and then determine the mass of the methane contained in the tank. Be sure to indicate your choice of method, and be sure to find a true root! Once you have found the root with some other method, perform the root-finding process again with MATLAB's fzero command . Is the value for the root the same? To what significant figure? . What kind of processing time did each method take? Use tic and toc to measure the processing time for each method and report the results . Why do you think the results are similar or different