Compound $A($ CAO$=1mo\frac{l}{L},$ dissolved in a solvent$)$ reacts by a first

order homogeneous reaction $(A$ products, $kA=0\mathrm{.}026s-1).$ It flows

at a rate of $75m\frac{m}{s}$ through a tubular reactor $($diameter $=50mm,$

length $=5m).$ The solution density and viscosity are $1000k\frac{g}{m}3$

and $0\mathrm{.}11\frac{g}{c}\frac{m}{s},$ respectively; the diffusivity of $A$ in the solvent is

$1\mathrm{.}810-9m\frac{2}{s}.$

$($a$)$ What is the Damk$$hler number for this reaction system? What

does this value imply about the relation between reaction rate and

flow rate?

$($b$)$ What is the conversion of A$,$ assuming ideal plug flow? Calculate

using the complete$-$segregation mixing model for plug flow.

$($c$)$ What is the Reynolds number? What is the exit conversion of A$,$

assuming laminar flow and using the complete$-$segregation mixing

model?