Gas absorption in a falling film with chemical reaction, rework the problem discussed in S18.5 and described in Fig. 18.5-1, when gas A reacts with liquid B by a first-order irreversible chemical reaction in the liquid phase, with rate constant k^'''₁. Specifically, find the expression for the total absorption rate analogous to that given in Eq. 18.5-18. Show that the result for absorption with reaction properly simplifies to that for absorption without reaction.