The sketch below shows a portion of a membrane used in a chemical process. A chemical in

solution on the left side of the membrane diffuses through the membrane from point $A$ to point

$B$ where it is immediately consumed in a chemical reaction. The concentration of the chemical

on the left side of the membrane is maintained at $100m\frac{g}{L}.$ All partition coefficients are equal

to $1\mathrm{.}0,$ and the diffusivity of the chemical in the membrane is ${10}^{-6}c\frac{m^2}{s}.$

a$)$ How long until this system reaches steady$-$state?

b$)$ What is the flux at $t=1$ day?

c$)$ What is the average flux over the first day?

d$)$ What is the flux under steady$-$state conditions?

e$)$ Would the flux at A initially $($before steady$-$state is reached$)$ be larger, smaller or the same as

the flux calculated in b$?$ Explain.

f$)$ What is the flux at $B$ initially? Explain.

g$)$ If the partition coefficient between A and the membrane is instead of $1$