Bleaching action of SO2: Bleaching by SO2 is permanent due to the process of reduction in the presence 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