5. A membrane divides two chambers in an electrochemical cell. After steady state conditions have been achieved, the TCE concentration in the cathode chamber is 100 mg/L, and in the anode chamber the TCE concentration is 10 mg/L. The membrane is 2 mm thick and the diffusion coefficient for TCE in the membrane is 10-6 cm/s. Partitioning between the aqueous and membrane phases is given by: Cmembrane= 500 Caqueous. The boundary layer mass transfer coefficient in the cathode chamber is ke=0.005 cm/s and in the anode chamber it is ka=0.008 cm/s. a) Use the divergence theorem to derive the differential equation that describes TCE diffusion through the membrane at steady state. b) What is the flux of TCE through the membrane at steady state (mg/cms)? c) What are the diffusional and the cathode side boundary layer mass transfer resistances? d) What is the TCE concentration in the middle of the membrane