The reaction $AB+C$ was carried out in a constant$-$volume batch reactor where the following concentration measurements were recorded as a function of time.

$\backslash$table$[[t(min),0,5,9,15,22,30,40,60],[C_A(mo\frac{l}{d}{m}^3),2,1\mathrm{.}6,1\mathrm{.}35,1\mathrm{.}1,0\mathrm{.}87,0\mathrm{.}70,0\mathrm{.}53,0\mathrm{.}35]]$

a$)$ Use nonlinear least squares $($i$.$e$.,$ regression$)$ and one other method to determine the reaction order, $,$ and the specific reaction rate, $k.$

$($b$)$ Mention if you were to take more data, where would you place the points? Why?

$($c$)$ If you were to repeat this experiment to determine the kinetics, what would you do differently? Would you run at a higher, lower, or the same temperature? Take different data points? Explain.

$($d$)$ It is believed that the technician made a dilution error in the concentration measured at $60$min. What do you think? How do your answers compare using regression $($Polymath or other software$)$ with those obtained by graphical methods?