(Solved): The elementary reversible gas phase reaction AB+2C is carried out isothermally in a flow reactor ...

The elementary reversible gas phase reaction $A?B+2C$ is carried out isothermally in a flow reactor with no pressure drop. The rate constant at $50^{?}\mathrm{C}$ is $10^{?4}{\min }^{?1}$ and the activation energy is $85\mathrm{kJ}/\mathrm{mol}$. The equilibrium constant at this temperature has a value of ${\mathrm{K}}_{\mathrm{eq}}=0.15{\mathrm{mol}}^2{\mathrm{L}}^{?2}$ and the heat of reaction is $25,000\mathrm{J}/\mathrm{mol}$. Pure species A enters the reactor at $10\mathrm{atm}$ and $127^{?}\mathrm{C}$ and a molar flow rate of $2.5\mathrm{mol}/\min$. (a) Calculate the reactor volume and residence time necessary to achieve $90\%$ of the equilibrium conversion in a PFR. (b) Calculate the reactor volume and residence time necessary to achieve $90\%$ of the equilibrium conversion in a CSTR.