Diffusion of weakly ionized acids such as acetic acid is an interesting and complex problem in diffusion. The diffusion involves the ionized species \(\mathrm{CH}_{3} \mathrm{COO}^{-}\)as well as the un-ionized acid \(\mathrm{CH}_{3} \mathrm{COOH}\). The diffusion of acetate ions is affected by \(\mathrm{H}\) ions due to electroneutrality while that for un-ionized molecules of acetic acid is a constant. Set up a model to compute the flux based on this model. Express the results in terms of the total concentration of acetic acid on one side of a region. The concentration on the other side is zero. What is the dependence of the flux on the concentration?