Tafel plot $(20pt$

The following data were obtained for the reduction of species $R^{-}$to $R^{-}$in a stirred solution at a $0\mathrm{.}1c{m}^2$ electrode; the solution contained $0\mathrm{.}01MR$ and $0\mathrm{.}01M{R}^{-}.$

$\backslash$table$[[(mV)$:$,-100,-120,-150,-500,-600],[i(A)$:$,45\mathrm{.}9,62\mathrm{.}6,100,965,965]]$

Calculate: $i_0,k^0,,R_{ct}$

Hint $1$: Plot the data in Excel$/$Origin$/$MATLAB$[$ Use the linear region for fitting. Consider the exchange current density defined in $B-V$ equation $i_0=FA{R}^0{C}_0^{*{*}^{(1-a)}}{C}_R^{**a}.$ In Tafel Region,

$R_{CT}=-\frac{}{i}=\frac{RT}{F{i}_0}$

Hint $2$: The slope of Tafel plot is defined when overpotential is expressed in standard unit $"$V$".$

Hint $3$: In cathodic reaction $($reduction$),$ the transfer coefficient $,$ is defined for the forward reaction and $(1-)$ for the backward reaction.

Notations: $i_0$: exchange current; $k^0$: standard rate constant; $$: transfer coefficient; $R_{ct}$: charge transfer resistance, $C_0^{**}$ : oxidant bulk concentration, $C_R^{**}$ : reductant bulk concentration.