(Solved): Please solve this question in detail!! In Figure PI. 3 the distillation configuration for the ...

Please solve this question in detail!!

In Figure PI. 3 the distillation configuration for the separation of benzene from tuluene is given. The feed to the distillation comes from the reactor, where toluene has been hydrodealkylated to produce benzene: $$\text{ toluene }+{\mathrm{H}}_2?\text{ benzene }+{\mathrm{CH}}_4$$ after the excess $${\mathrm{H}}_2$$ and the produced $${\mathrm{CH}}_4$$ have been removed in a flash unit. For the distillation system: Figure PI.3 Suggest a feedforward controller that will control the operation of the column in the presence of changes in the feed flow rate. Suggest a feedback control configuration to account for changes in the feed flow rate. If the control objective is to keep the purity of the overhead product (benzene) constant and the use of concentration measuring devices (gas chromatographs, infrared analyzers, etc.) is not recommended due to their low reliability, suggest an inferential control configuration. What secondary measurements would you use? How would you use them, in principle, to estimate the unmeasured composition of the overhead product?