Problem $1$: There is a single first$-$order reaction $AB,$ taking place in a reactor. The rate of change of concentration with time is given as follows;

$-\frac{d{C}_A}{dt}=k{C}_A$

Here $C_A$ is the concentration of $A,k$ is the reaction rate constant and $t$ is time in minutes. The reactor data are given in the following table;

$\backslash$table$[[$Time$,$ min,$0,1,2,3,4],[C_A,$kmo$\frac{l}{m^3},8\mathrm{.}47,5\mathrm{.}00,2\mathrm{.}95,1\mathrm{.}82,0\mathrm{.}71]]$

Use $O(h^2)$ finite differencing and the linear least squares regression to find the reaction rate constant.