The Redlich-Kwong equation of state is given by

where R = the universal gas constant [= 0.518 kJ/(kg K)], T = absolute temperature (K), p = absolute pressure (kPa), and v = the volume of a kg of gas (m³/kg). The parameters a and b are calculated by

where p_c = critical pressure (kPa) and T_c = critical temperature (K). As a chemical engineer, you are asked to determine the amount of methane fuel (p_c = 4600 kPa and T_c = 191 K) that can be held in a 3-m³ tank at a temperature of –40°C with a pressure of 65,000 kPa. Use a root-locating method of your choice to calculate y and then determine the mass of methane contained in the tank.

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RT b vv+ b) T. a = 0.427- b = 0.0866 Pc Pc