Question

The gas phase reaction between methane (A) and sulfur (B) was carried out in a plug flow reactor (RAS) isothermally at a temperature of 600°C and a pressure of 101 kPa to produce carbon disulfide and hydrogen sulfide. The first-order reaction for each reactant with the value of the reaction rate constant (on the basis of the sulfur reduction rate), kB = 12 m^3.mol^-1.hour^-1. Methane gas and sulfur gas were flowed into the reactor at the rate of 23.8 and 47.6 mol/hour, respectively. Calculate: a. volume of the reactor (V) required, if desired 18% conversion of methane, b. reactor diameter (D) and reactor length (L), if the D/L ratio is set to 0.1, c. residence time, assuming the gas is an ideal gas and there is no change in density.

          The gas phase reaction between methane (A) and sulfur (B) was carried out in a plug flow reactor (RAS) isothermally at a temperature of 600°C and a pressure of 101 kPa to produce carbon disulfide and hydrogen sulfide. The first-order reaction for each reactant with the value of the reaction rate constant (on the basis of the sulfur reduction rate), kB = 12 m^3.mol^-1.hour^-1. Methane gas and sulfur gas were flowed into the reactor at the rate of 23.8 and 47.6 mol/hour, respectively. Calculate:
a. volume of the reactor (V) required, if desired 18% conversion of methane,
b. reactor diameter (D) and reactor length (L), if the D/L ratio is set to 0.1,
c. residence time, assuming the gas is an ideal gas and there is no change in density.

Added by Tristan M.

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