Dispersion Combining Einstein's Relation and Grahams Law

If we combine Einstein's formula for the dispersion from his Theory of Brownian Motion with Graham's experimental results for diffusion we get the following proportion for the dispersion. The constant of proportionality would have to be determined by experiment and probably is dependent on the absolute temperature, T.

These results suggest that the law should be subject to experimental check. One such experiment might be a vertical cylinder of dye diffusing through a block of jello with measurements of changes in concentration over time.