The reactions of $\mathrm{Cl}_2$ gas with cold-dilute and hot-concentrated NaOH in water give sodium

Question

The reactions of $\mathrm{Cl}_2$ gas with cold-dilute and hot-concentrated NaOH in water give sodium salts of two (different) oxoacids of chlorine, $P$ and $Q$, respectively. The $\mathrm{Cl}_2$ gas reacts with $\mathrm{SO}_2$ gas, in presence of charcoal, to give a product $R . R$ reacts with white phosphorus to give a compound $S$. On hydrolysis, $S$ gives an oxoacid of phosphorus, $T$.

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