The mutual and the self-diffusion coefficients of the acetone-cellulose ace
tate system are determined by using established gravimetric measurements of
the acetone evaporation rate. The process is studied as a one-dimensional
numerical experiment utilizing the Galerkin finite element method. The nume
rical technique provides simultaneous solution of the model equations and y
ields by comparison with gravimetric data the diffusion coefficients of ace
tone in cellulose acetate for a wide range of temperatures and compositions
. The estimated diffusion coefficients based on free volume theory are in s
atisfactory agreement with the available experimental data. It-is believed
that this method can be applied to other systems of interest.