The general 1D equation for transport of

A

in a binary system is given by:\

N_(A)=(C_(A))/(C)(N_(A)+N_(B))-D_(AB)(dC_(A))/(dz)

\ where

C

is the total concentration.\ a. (5 marks) Write down the counter-part of the above equation for component B.\ b. (15 marks) Show that, for this case:

D_(AB)=D_(BA)

\ c. (20 marks) It is generally true for a binary system that

N_(A)=kN_(B)

, with

k

being a constant (independent of concentration and location). When this information is used, one can effectively derive a general equation for binary diffusions. Integrate Equation 1 to show:\

N_(A)=((N_(A))/(N_(A)+N_(B)))(CD_(AB))/(\\\\Delta z)ln[((N_(A))/(N_(A)+N_(B))-(C_(A2))/(C))/((N_(A))/(N_(A)+N_(B))-(C_(A1))/(C))]

\ larks)

The general 1D equation for transport of A in a binary system is given by: NA=CCA(NA+NB)DABdzdCA where C is the total concentration. a. (5 marks) Write down the counter-part of the above equation for component B. b. (15 marks) Show that, for this case: DAB=DBA c. (20 marks) It is generally true for a binary system that NA=kNB, with k being a constant (independent of concentration and location). When this information is used, one can effectively derive a general equation for binary diffusions. Integrate Equation 1 to show: NA=(NA+NBNA)zCDABln[NA+NBNACCA1NA+NBNACCA2]