The rate equation for fatty soil removal as given below is based on the assumption that the cleaning process consists of the following two processes :
(1) Removal of the first order, depending on initial concentration of soil in fabrics (Process 1).
(2) Reversible soil removal and redeposition of removed soil (Process 2).
At =a1exp (-k1 t) +a2exp [- (k2-k-2) t].
where At is the absorbance corresponding to soil concentration in fabrics at time t, k1, and k2 rate constants of soil removal during processes 1 and 2 respectively, and k2, the rate constant for the redeposition of removed soil.
The experimental results on model soil removal (fatty acid) from fabrics by SDS indicated the present treatment to be adequate. Soil removal in both processes was confirmed to be essentially the same in the case of fatty soil. The dependence of the rate constants and removal rate on temperature indicates the formation of liquid crystalline phases played to possibly be important to fatty soil detergent action.