Consider the absorption of component $($A$)$ of a gaseous mixture with an inert $($I$)$ by a phase liquid containing a reactive species $($B$)$ and a solvent $($S$).$ Component $($A$)$ reacts instantly with component $($B$)$ according to the following reaction: $A+BC$ The Process occurs in an established regime, temperature is constant and the gas and liquid phasescan be considered ideal. Solvent S$,$ reactant B and product C are non$-$volatile and their transfer to the gas phase can be considered null. The inert compound in the gas phase is not soluble in solvent S$.$

a$)$ Assume that the concentrations within each phase are known and sketch the profiles of concentration for A and I in the gas phase; and the profiles of A$,$ B and C in the liquid phase. Also consider

that the concentration of the solvent is practically constant throughout the liquid phase.

b$)$ Write the equations for mass transfer in each phase assuming that the diffusion coefficients are known and constant.

c$)$ Write the boundary conditions necessary to calculate the absorption flow of the component A$.$