(Solved): Fresh feed consisting of equimolar amounts of species \( A \) and \( B \) is mixed with a recycle s ...

Fresh feed consisting of equimolar amounts of species \( A \) and \( B \) is mixed with a recycle stream consisting of species \( A \) and \( D \). The mixed stream enters a heated reactor in which the following reactions occur: \[ \begin{array}{l} A+B \rightarrow C \\ B+B \rightarrow A+D \end{array} \] with stolchiometric coefficients in moles and time in hours. All of the \( B \) is consumed in the reactor and the ratio of the extents of reactions (1) and (2) is equal to the ratio of the moles of \( A \) and \( B \) fed to the reactor. The output from the reactor is fed to a still in which all of the \( C \) is removed as bottoms product and a mixture of \( A \) and \( D \) emerging as distillate is split to form a recyclestream and a purge stream. The recycle stream is mixed with the aforementioned feed. The total fresh feed to the process is \( 100.0 \) mol/h of which \( 50.0 \) mol\% is \( A \). The still produces \( 40.0 \) mol/h of \( C \). From balances on the overall system and the reaction stoichiometry calculate the following quantities. Molar flow rate of \( C \) in the bottoms product. \( \mathrm{mol} / \mathrm{h} \)