P$7-6{?}_B$ OEQ $($Old Exam Question$).$ The liquid$-$phase irreversible reaction

$AB+C$

is carried out in a CSTR$.$ To leam the rate law, the volumetric flow rate,

$()0,($hence $=\frac{V}{v_0})$ is varied and the effluent concentrations of species A are recorded as a function of the space time $r.$ Pure A enters the reactor at a concentration of $2mo\frac{l}{d}{m}^3.$ Steady$-$state conditions exist when the measurements are recorded,

$\backslash$table$[[$Run$,1,2,3,4,5],[r(min),15,38,100,300,1200],[C_A(mo\frac{l}{d}{m}^3),1\mathrm{.}5,1\mathrm{.}25,1\mathrm{.}0,0\mathrm{.}75,0\mathrm{.}5]]$

a$.$ Determine the reaction order and specific reaction$-$rate constant.

b$.$ What experiments would you do to determine the activation energy?

C$.$ If you were to take more data, where would you place the measurements $(e\mathrm{.}0.,T)?$

d$.$ It is believed that the technician may have made a dilution factor$-$of$-10$ error in one of the concentration measurements. What do you think?

Note: All measurements were taken at steady$-$state conditions. Be careful; this problem is sneaky.