The production of biodiesel fatty acid methyl esters $(C_2{H}_3{O}_{2}R)$ from methanol $(C{H}_{3}OH)$ and triglycerides

$O_6{R}_3)$ proceeds according to the unbalanced reaction: $C_6{H}_5{O}_6{R}_3+C{H}_{3}OH{C}_2{H}_3{O}_{2}R+C_3{H}_8{O}_3.$

Triglycerides are obtained through the heating of fryer oil or beef tallow; glycerol $(C_3{H}_8{O}_3)$ is an undesired

byproduct used in soaps and cosmetics$.$ The process begins with a mixture of triglyceride, methanol, and a

catalyst entering the reactor. The reactor effluent contains methyl esters $(C_2{H}_3{O}_{2}R),$ glycerol, unreacted

methanol, unreacted triglycerides, and all of the catalyst. A basis of $56\mathrm{.}2mo\frac{l}{s}$ of triglyceride and $96\mathrm{.}0\%$ excess

methanol enter the reactor. The excess methanol leads to a conversion of methanol equal to $13\mathrm{.}8\%.$ Calculate the

following unknowns:

Component molar flow rate of triglycerides exiting the reactor $=$

$mo\frac{l}{s}$

Component molar flow rate of methanol exiting the reactor $=$

$mo\frac{l}{s}$

Component molar flow rate of methyl esters exiting the reactor $=$

$mo\frac{l}{s}$