PPlease answer everypart!

1-2. Diffusion Relative to Volume-Average Velocity A reference frame sometimes chosen for the analysis of diffusion is the volume-average velocity,v(V). For a binary mixture it is given by v(V)=NAVA+NBVB where VA and VB are the partial molar volumes of species A and B, respectively. The total molar concentration is related to the partial molar volumes and mole fractions by C=(xAVA+xBVB)1. The molar flux of A relative to the volume-average velocity, JA(V), is defined as JA(V)=NACAv(V). The objective is to derive the form of Fick's law that applies when using v(V). (a) Show that JA(V)VA+JB(V)VB=0JA(V)=CVBJA(M) (b) Use the results in part (a) to show that JA(V)=DABCA which indicates that the "natural" driving force in this reference frame is the gradient in molar concentration; compare with Eqs. (A) and (D) of Table 1-3. Table 1-3 Fick's Law for Binary Mixtures of A and B \begin{tabular}{cllll} \hline Reference velocity & Mass units & & Molar units & \\ \hline v & jA=DABA & (A) & JA=MADABA & (B) \\ v(M) & jA(M)=CMADABxA & (C) & JA(M)=CDABxA & (D) \\ \hline \end{tabular}