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Engineers Yolanda and Charles operate a reactor where two unbalanced gas phase reactions occur:

$C{H}_3\frac{C}{O}OH+H_2{C}_2{H}_{5}OH+H_{2}O$ and $C_2{H}_{5}OH(C_2{H}_5{)}_{2}O+H_{2}O.$ In the first

reaction, acetic acid $($AA or $C{H}_3\frac{C}{O}OH)$ and hydrogen $(H$ or $H_2)$ react to produce ethanol $($E or

$C_2{H}_{5}OH)$ and water $($W or $H_{2}O)$; and ethanol decomposes to diethyl ether $($DE or $(C_2{H}_5{)}_{2}O)$ and

water in the second reaction. A stream of $58\mathrm{.}2mo\frac{l}{s}$ hydrogen and the balance acetic acid at $147C$ is

fed to the reactor, which operates at steady state. The stream exiting the reactor contains acetic acid,

hydrogen, ethanol, water, and diethyl ether at $297C.$ The component flow rate of acetic acid exiting the

reactor is $3\mathrm{.}81mo\frac{l}{s}.$ The fraction conversion of acetic acid is $77\mathrm{.}9\%,$ and the selectivity, which is the

ratio of the amount of ethanol to diethyl ether in the exiting stream, is $3\mathrm{.}14.$ Assume all components are

in the gas phase and no phase changes occur in the reactor.

Solving the material balances will calculate the unknown component molar flow rates in the reactor

effluent.

$,n_{2,E}^{}=,n_{2,W}^{}=,n_{2,DE}^{}=$

$mo\frac{l}{s},Ex$:$6\mathrm{.}48mo\frac{l}{s}Ex$:$12\mathrm{.}6mo\frac{l}{s}Ex$:$2\mathrm{.}06mo\frac{l}{s}$