(a) $\mathrm{Br}_{2}(l)+$ cold $\mathrm{NaOH}(a q) ightarrow$
First, we need to write the balanced chemical equation:
$\mathrm{Br}_{2}(l)+2 \mathrm{NaOH}(a q) \rightarrow \mathrm{NaBr}(a q)+\mathrm{NaBrO}_{3}(a q)+\mathrm{H}_{2} \mathrm{O}(l)$
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