A new lithium sulfate $left(mathrm{Li}_{2} mathrm{SO}_{4} ight)$ electrolyte has been developed for battery applications. Assuming ideal solutions

A new lithium sulfate $\left(\mathrm{Li}_{2} \mathrm{SO}_{4}\right)$ electrolyte has been developed for battery applications. Assuming ideal solutions and a stationary coordinate system, what does Fick's Law for the flux $\left(\mathrm{N}_{\mathrm{Li}}, \mathrm{N}_{\mathrm{SO} 4}\right.$ ) for both lithium and sulfate species look like? (Hint: The fluxes for the ions must obey local electroneutrality so that we do not encounter regions where we have large excesses of one charge over another).