Question: Solve in this example the mole balances in a packed-bed catalytic reactor using catalyst weight as the independent variable rather than reactor volume or length.

Solve in this example the mole balances in a packed-bed catalytic reactor using catalyst weight as the independent variable rather than reactor volume or length. The gas phase reaction C + 2 H2 >CH4 takes place in a PBR with Ni/SiO2 catalyst. Its kinetics is first order with respect to the pressure of Hydrogen r = k * PH2 k= = 1.74 mol / (kg cat bar min) The feed to the reactor is 67% H2 and 33% C is at 170 C and 5.0 bar, and its molar flow rate is 40. mol/min. Suppose that the reactor is isothermal and the pressure drop is modeled through the Ergun equation. The reactor contains 5 kg of catalyst. Plot the flow rate of C, H2, and CH4 as a function of catalyst weight. =0.025 kg-1. Determine the conversion of hydrogen at the reactor outlet.

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