2. In mass transfer calculations, one often uses concentration in both molar and mass unit. This happens because on one hand while solving diffusion equation and momentum equation, one prefers to work in mass unit, on the other hand while dealing with chemical reactions molar unit is convenient. Thus in this problem, we will deal with questions of notations and definitions. We shall denote the mass and molar density of component a asta and ca respectively. The mean molecular weight M in terms of total density and total concentration c is defined as ric. (a) Show that we can write - Pa/Mwhere M. is the molecular weight of component a (b) Show that for an N component system in terms of mass fraction and mole fraction, we can write: and - and 0)/M ., , /, -1/M ii) ! N M and (c) For a binary mixture of A and B: show that we can write: 1 MM Vx VO 01) M 4 00 + M (1) and MM, (1,M,+x M.) VX (2)