Component A in a mixture of gases A and B is absorbed into a liquid phase at a rate of $0\mathrm{.}15$ mol$/($m$2.$s$).$ The fraction of A in the bulk of the gas phase is $5\%$ by volume, and the mole fraction of A in the bulk of the liquid phase is $0\mathrm{.}01.$ The mass transfer coefficients for the gas and liquid phases are y $=10$ mol$/($m$2.$s$)$ and x $=40$ mol$/($m$2.$s$)$ respectively.$($a$)$ Determine the interfacial concentrations of A $($as molar fractions$)$ in the gas and liquid phases.$($b$)$Sketch the concentration profile in the region surrounding the interface, approximately to scale.