The chemical nature of hydrogen preoxide is :-

$\mathrm{H}_{2} \mathrm{O}_{2}$ act as oxidising agent and reducing agent in acidic medium as well as basic medium.

$\mathrm{H}_{2} \mathrm{O}_{2}$ Act as oxidant :-

$\mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{H}^{\oplus}+2 \mathrm{e}^{\Theta} \rightarrow 2 \mathrm{H}_{2} \mathrm{O}$ (In acidic medium)

$\mathrm{H}_{2} \mathrm{O}+2 \mathrm{e}^{\ominus} \rightarrow 2 \mathrm{OH}^{\ominus}($ In basic medium $)$

$\mathrm{H}_{2} \mathrm{O}_{2}$ Act as reductant :-

$\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{H}^{+}+\mathrm{O}_{2}+2 \mathrm{e}^{\Theta}$ (In acidic medium)

$\mathrm{H}_{2} \mathrm{O}_{2}+2 \mathrm{OH}^{\Theta} \rightarrow 2 \mathrm{H}_{2} \mathrm{O}+\mathrm{O}_{2}+2 \mathrm{e}^{\ominus}($ In basic medium $)$