Bleaching action of SO2 : Bleaching by SO2 is permanent due to the process of reduction in the sense of moisture.
SO2+2H2O→H2SO4+2[H] (nascent)
Colour material +[H]→ Colourless air−→ Colour
Bleaching action of Cl2 : Bleaching by Cl2 is temporary due to the process of oxidation in the presence of moisture:
Cl2+H2O→2HCl+[O] (nascent)
Colour material +[O]→ Colourless