(Solved): The following elementary gas-phase decomposition reaction is carried out in a 6100L isothermal PF ...

The following elementary gas-phase decomposition reaction is carried out in a $6100\mathrm{L}$ isothermal PFR: $A?\mathrm{pP}$, where $\mathrm{A}$ is the reactant, $\mathrm{P}$ is the product, and $p$ is the stoichiometric coefficient of $P$, which is unknown. Pure $A$ is fed to the reactor at $500\mathrm{K}$ and 2 bar, with a molar flowrate of $1000\mathrm{mol}/\mathrm{s}$. The rate constant at the operating temperature is $10{\mathrm{s}}^{?1}$. Under these conditions, a steady state conversion of $85\%$ is achieved. Assuming that the pressure drop through the reactor is negligible, determine: (a) The value of the stoichiometric coefficient $p$. (b) The reactor volume required to achieve $85\%$ conversion if the reaction is carried out in an isothermal CSTR under the same operating conditions.