Fuller, Schettler, and Giddings Correlation
One of the most common equations used in predicting binary gas diffusivities owing to its theoretical foundations, is the Hirschfelder-Bird-Spotz equation^{†}. A more recent empirical correlation has been developed by Fuller^{‡}. Fuller used 308 experimental values of the diffusivities of various gases to determine the coefficients a, b, c, d, g, and f equation
Using a nonlinear least-squares analysis, the empirical equation that gives the smallest standard deviation is
where | P = | total pressure, atm |
M_{i} = | molecular weight | |
D_{AB} = | diffusivity, cm^{2}/s | |
T = | temperature, K | |
ΣV_{i} = | Sum of the diffusion volume for component i, as given in Table D-1 |
^{†} See R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena (New York: Wiley, 1960), p. 511.
^{‡} E. N. Fuller, P. D. Schettler, and J. C. Giddings, Ind. Eng. Chem. 58(5), 19 (1966).
Several other equations for predicting diffusion coefficients can be found in R. C. Rcid, J. M. Prausnitz and T. K Sherwood, The Properties of Gases and Liquids 3rd ed. (New York: McGraw-Hill, 1977), Chap 11.
Calculate the diffusivity of CS_{2} in air at 35°C at 1 atm
Solution
For air:
- V_{A} = 20.1.
- 2. Molecular weight = 29.0.
For CS_{2}, from Table D-1:
C = 16.5 | C = 16.5 | |
S = 17.0 | S_{2} = 34.0 | |
total | 50.5 |
- V_{CS2} = 50.5
- Molecular weight = 76.