Points$)$ The production of ethylene glycol from

ethylene chlorohydrin and sodium bicarbonate reacts as

follows: CH$\_(2)$OHCH$\_(2)$Cl$+$NaHCO$\_(2)($CH$\_(2)$OH$)\_(2)+$NaCl $+C{O}_2(g).$ The reaction $($elementary$)$ is carried out isothermally at $30$

$C$ in a semi$-$batch reactor. The reactor can hold a maximum

of $2500d{m}^3.$ Assume constant density. A $1\mathrm{.}5M$ solution of

ethylene chlorohydrin is fed at a rate of $0\mathrm{.}1$moles$/$minute to

$1500d{m}^3$ of a $0\mathrm{.}75M$ solution of sodium bicarbonate. The

specific reaction rate at $30C$ is $5\mathrm{.}1d{m}^3/$mole$*$hour$.$ Higher

temperatures create undesirable side reactions. $(t_f+t_h+t_d)$

$=4\mathrm{.}5$ hours.

$($a$).$ Analyze the conversion, reaction rate, concentrations of

reactants and products, and number of moles of glycol

produced.

$($b$)$ Suppose you can vary the flow rate of ethylene

chlorohydrin from $0\mathrm{.}01$ to $200$ moles per minute. Maximize

the production of glycol in $24$ hours.

$($c$)$ Suppose the ethylene chlorohydrin is fed at a rate of

$0\mathrm{.}15$mole$\frac{s}{m}$inute until the reactor is full. Analyze the

conversion as a function of time.