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It is desired to produce methane from captured carbon dioxide in a single packed bed reactor (diameter of 0.0254m and 2m length) operated isothermally at 314C with an inlet pressure of 30 atm by the following gas phase reaction. Molar feed rate of carbon dioxide is 50kmol/h. The reactants are fed to the reactor in stoichiometric ratio. CO2(g)+4H2(g)CH4(g)+2H2O(g) (A) (B) (C) (D) Reaction rate law in terms of the'partial pressures of the reactants is expressed as: rA=(1+K1PB+K2PA)5kPAPB4 a) Derive the mole balance equations for all species. b) Calculate molar flow rates of reactants and conversion in the absence of pressure drop for the 5m of reactor length. DATA: =0.45catalyst=2000kg/m3 Your report must include the derivation of model equations, screenshots of solutions performed by Polymath and MATLAB. It is desired to produce methane from captured carbon dioxide in a single packed bed reactor (diameter of 0.0254m and 2m length) operated isothermally at 314C with an inlet pressure of 30 atm by the following gas phase reaction. Molar feed rate of carbon dioxide is 50kmol/h. The reactants are fed to the reactor in stoichiometric ratio. CO2(g)+4H2(g)CH4(g)+2H2O(g) (A) (B) (C) (D) Reaction rate law in terms of the'partial pressures of the reactants is expressed as: rA=(1+K1PB+K2PA)5kPAPB4 a) Derive the mole balance equations for all species. b) Calculate molar flow rates of reactants and conversion in the absence of pressure drop for the 5m of reactor length. DATA: =0.45catalyst=2000kg/m3 Your report must include the derivation of model equations, screenshots of solutions performed by Polymath and MATLAB