Membrane Separations Technology: Single-Stage, Multistage, and Differential Permeation

Numbers are used to designate a particular component in column A, and the number 7 may range on up through, say, 16 or however many different components there are to be; that is, i varies from i = 7 through i = 16, or the number of components involved, as per column A. For a binary mixture, for convenience, i ranges only from i = 7 through i = 8; that is, i = 7 and j = 8. Furthermore, the calculation is to be trial-and-error in the variable V such that ?x i, = 1 (and ? i = 1).
The relationships in Table A3.1 apply, as per the accompanying tabulation and spreadsheet calculations, where the asterisk symbol (*) stands for multiplication and the slash symbol (/) for division.
| Column | Equation or Designator | Spreadsheet Formula |
|---|---|---|
| A | Component | |
| B | (x F) i | (given) |
| C | P i | (given) |
| D | P L | (fixed) |
| E | P V | (fixed) |
| F | V/F | (specified) |
| G | L/F = 1 ? V/F | G7 = 1 ? F7 |
| H (skip column) | ||
| I | V ? | (trial and error) |
| J | K i = P iP L/(V+ P i P V) | J7 = C7*D7/(J7+C7*E7) |
| K | x i = (x F) i /(V/Fk i + L/F) | K7 = B7/(F7*J7+G7) |
| Sum = 1 | ? |