In HDA process a column separating H$2,$ CH$4$ from Benzene. Column feed is $400$ mol$/$hr and mole fraction $$: $-0\mathrm{.}0055$; $0\mathrm{.}0324$; $-0\mathrm{.}961$; XT$-0\mathrm{.}0011$; Assume $99\mathrm{.}85\%$ recovery of benzene from feed at the bottom of the column and $100\%$ recovery of H$$ and CH$4$ at column overhead. M&S index $800.$ Textbook $2$ for additional information.

a$.$ Estimate the annual loss of benzene if Equilibrium value of Benzene Kau$-0\mathrm{.}03$ by assuming liquid in the reflux drum is pure benzene, benzene price is $10$ $$/$mol