The rate of dyeing especially in the debate about the compatibility of dyes is very important to measure them is necessary. Given that the most important step in the dyeing of fibers, the dye molecules penetrate into the fibers is therefore determined by the diffusion coefficient can predict system behavior dyeing. In the textile industry justify; MARGIN: auto 0in auto 17.85pt; BACKGROUND: white; VERTICAL-ALIGN: top" Key word: the diffusion coefficient, estimate concentration, the spectral data,the absorption data, Acid dyes