TUTORIAL: DATA ANALYSIS AND RATE LAW PARAMETERS

The irreversible liquid$-$phase reaction

$AB+C$

is carried out in a batch reactor. The following data were collected during the course of the reaction:

$\backslash$table$[[t(min),0\mathrm{.}0,2\mathrm{.}0,4\mathrm{.}0,6\mathrm{.}0],[C{A}_A(mo\frac{l}{d}{m}^3),2\mathrm{.}00,1\mathrm{.}31,0\mathrm{.}95,0\mathrm{.}73]]$

Assume a rate law of the form

$-r_A=k{C}_A^{}$

Integrate the equation for the combined mole balance and rate law and then determine $$ and $k.$ Determine the rate law parameter using methods to differentiate your data.

$($a$)$ Graphical technique$-$equal area differentiation. $($Use O$\text{'}$s to represent these points on any graphs you make.$)$

$($b$)$ Numerical technique$-$differentiation formulas. $($Use $\text{'}$s to represent these points on any graph you make.$)$

$($c$)$ Differentiating a polynomial $($use $x$ for these points$).$