Pyridine $($CHN$)$ is manufactured by reacting, ammonia, acetaldehyde $($CH CHO$)$ and formaldehyde $($HCHO$)$ in the following manner $($not abalanced reaction$)$: $+$ HCHO NH CHACHO CHN HO $+$ H In a continuous plant, $350$ kg$/$h of aqueous solution of formaldehyde $(37\%$ by weight$),70$ kg$/$h of pure ammonia and $190$ kg$/$h of pure acetaldehyde arereacted where $90\%$ conversion of the limiting reactant is observed.$($a$)$ Balance the given reaction$($b$)$ Identify the limiting reactant and percentage excess of other reactants $($c$)$ Express the product composition in terms of mole$\%$