Example $5-2$ Producing $200$ Million Pounds per Year in a CSTR

$$0\mathrm{.}43$ per pound.

Uses and economics given by Mukesh. ${?}^1$

a$.$ If $80\%$ conversion is to be achieved, determine the necessary CSTR volume.

b$.$ If two $800-$gal reactors were arranged in parallel with the feed equally divided, what would be the corresponding conversion?

c$.$ If two $800-$gal reactors were arranged in series, what would be the corresponding conversion?

Example $5-1$ Determining $k$ from Batch Data is present in excess, its concentration $)$ may be considered constant during the course of the reaction. The reaction is first$-$order in ethylene oxide. maintained at $55C.$ The concentration of ethylene glycol $($C$)$ was recorded as a function of time $($Table E$5-1\mathrm{.}1).$

a$.$ Derive an equation for the concentration of ethylene glycol as a function of time.

b$.$ Rearrange the equation derived in $($a$)$ to obtain a linear plot of a function concentration versus time.

c$.$ Using the data in Table E$5-1\mathrm{.}1,$ determine the specific reaction rate, $k,$ at $55C.$

TABLE E$5-1\mathrm{.}1$ CONCENTRATION$-$TIME DAIA

$\backslash$table$[[$Time $($min$),$Concentration of Ethylene Glycol $(C)(kmo\frac{l}{m^3}{)}^{**}$