A linear sweep voltammetry was obtained as follows from an electrode of porous carbon with

an aqueous solution of sulfuric acid. The potential was swept at $100mVse{c}^{-1}$ in the range

where there were no faradaic reactions. The governing equation is described by: $I=vC[1-$

exp$(-\frac{t}{})$ with $v=$ scan rate, $C=$ capacitance and $t=$ time constant.

time $($msec$)$

$($a$)[10$ points$]$ Calculate the values of electric double layer capacitance, solution resistance and

time constant of the non$-$faradaic reaction.

$($b$)[5$ points$]$ Calculate the $\%$ portion of current at time $=$ time constant versus a saturated

current that can be obtained at an infinite time.

$($c$)[5$ points$]$ Think about the same non$-$faradaic process with a solution resistance at twice the

value of the above system. Indicate the point at time $=$ time constant for this new

electrochemical system in the above figure.

$($d$)[10$ points$]$ Draw a plot of potential versus time when a fixed current is applied for the

system of $($a$)$ at $1mA$ and $2mA.$ Use the following empty graph.

ideal gas constant $(R)=8\mathrm{.}314\frac{J}{m}o\frac{l}{K}$

$R\frac{T}{F}$ at room temperature $=26mV$

$M=mo\frac{l}{L}={10}^{-3}mo\frac{l}{c}{m}^3$

Faraday constant $(F)=96500\frac{C}{m}$ole

$ln(0\mathrm{.}05)=-3,log(e)=0\mathrm{.}434.$ EC$2$b EAnal.Overview $[30$ points$]$A linear sweep voltammetry was obtained as follows from an electrode of porous carbon withan aqueous solution of sulfuric acid. The potential was swept at $100$ mV sec$-1$ in the rangewhere there were no faradaic reactions. The governing equation is described by: I $=$ v C $[1-$exp$(-$t$/)]$ with v $=$ scan rate, C $=$ capacitance and t $=$ time constant.$($a$)[10$ points$]$ Calculate the values of electric double layer capacitance, solution resistance andtime constant of the non$-$faradaic reaction.unit valueCapacitanceResistanceTime constant$($b$)[5$ points$]$ Calculate the $\%$ portion of current at tim e $=$ time constant versus a saturatedcurrent that can be obtained at an infinite time.