Dialysis is a process that uses a semi-permeable membrane to selectively remove small molecules from a sample based on size. The membrane allows small molecules like salts to diffuse out of a dialysis bag containing the sample solution and into the surrounding buffer solution. This process is used to desalt and purify protein solutions by removing salts and other small contaminants from the sample inside the dialysis bag until equilibrium is reached. The rate of dialysis is affected by factors like temperature, concentration gradient, membrane thickness, and solvent used.