Question $1(20$ points$)$

Find the following information for a Ni$/$Zn battery in an alkaline solution based on geometric and

physical property data given below:

a$)$ Determine the difference in potential across the cell that corresponds to an average current

density of $4640A*m^{-2}$ and surface overpotentials of ${}_s^{Ni}=-0\mathrm{.}2225V$ and ${}_s^{Zn}=0\mathrm{.}0627V.$

Assume that the concentration overpotential is negligible $(10$ points$).$

b$)$ Calculate the Wagner number for the $Zn$ and $Ni$ electrodes when $i_{\text{a}\text{v}\text{g}}=4640A*m^{-2}.$ Would the

current distribution be uniform or non$-$uniform? Please justify your answer $(10$ points$).$