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Parallel gas phase reactions occur between acetic acid $(AA,C{H}_3\frac{C}{O}OH)$ and hydrogen $(H,H_2).$

Engineering students Hildegard and Stephen identify the reaction products as ethanol $(E_2{C}_2{H}_{5}OH)$

and water $(W,H_{2}O)$ for the first reaction and ethyl acetate $(EA,C_4{H}_8{O}_2)$ and water for the second

reaction. The reactor operates at steady state with acetic acid and hydrogen entering at $137C.$ The

reactor effluent contains acetic acid, ethanol, water, and ethyl acetate at $293C.$ Three component

flow rates exiting the reactor are known: $14\mathrm{.}4mo\frac{l}{m}in$ acetic acid, $25\mathrm{.}7mo\frac{l}{m}in$ ethanol, and $0\mathrm{.}912$

$mo\frac{l}{m}in$ ethyl acetate. Assume all components are in the gas phase and no phase changes occur in

the reactor.

Determine the unknown component molar flow rates.