Hello, i need help with this problem of chemical engineering, please it's required polymath.

We want to estimate the permeability of the skin to certain drugs through the use of synthetic membranes. Consider that a membrane separating two compartments A and B containing a solution with the drug Ibuprofen (Advil) in a volume equal to VA and VB (Figure 1), respectively. The initial concentration of ibuprofen in compartment A and B is CA,0 and CB,0 respectively. The concentration of Ibuprofen in compartment A differs from that in compartment B. The membrane has a permeability P (cm/s) to the drug and an exchange surface equal to S (cm^2). The values of the system parameters are shown in Table 1.

Exercise:

a) Write the mass balance for the drug Ibuprofen in compartment A.

b) Write the total mass balance for the drug Ibuprofen.

c) Determine the time profile of the drug in point a) and determine the permeability of the membrane with the experimental data reported in Table 2.

d) Create a graph of the temp profile of Ca, Cb and the flux through the membrane expressed in terms of g/cm^2*h (with Polymath)

Table 1:

Table 2 with figure 1:

Tabella 1. Valori dei parametri. \begin{tabular}{cccc} \hline Nomenclatura & Descrizione & Unit & Valori \\ \hline S & Superficie di scambio della membrana & {[cm2]} & 2 \\ VA & Volume compartimento A & {[cm3]} & 10 \\ VB & Volume compartimento B & {[cm3]} & 15 \\ CA,0 & Concentrazione del farmaco in A & {[mgL1]} & 51.5 \\ CB,0 & Concentrazione del farmaco in B & {[mgL1]} & 1 \\ Pibu & Peso molecolare del farmaco Ibuprofen & {[gmol1]} & 206.3 \\ \hline \end{tabular} Tabella 2. I valori di concentrazione del farmaco (CA) nel compartimento A misurati per diversi valori del tempo. Figura 1. Rappresentazione schematica del sistema