In the reaction of potassium dichromate with hydrogen sulphide in presence of an acidic medium of sulphuric acid, a redox reaction takes place as follows:
During the reaction, the potassium chromate acts as the oxidizing agent, due to the presence of the hexavalent chromium in (+6) oxidation state. It is thus reduced to (+3) oxidation state.
Then, the reduction half-cell reaction will be:
\(\mathrm{Cr}_{2} \mathrm{O}_{7}{ }^{2-}+14 \mathrm{H}^{+}+6 e^{-} \longrightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_{2} \mathrm{O}\)
Also, the sulphide \(S^{2-}\) acting as the reducing agent, is oxidised to sulphur (S) in the reaction. Then, the oxidation half-cell reaction will be:
\(\mathrm{S^{2-} \longrightarrow S+2 e^{-}}\)
Thus, combining the oxidation and reduction half-cell reaction, the balanced equation obtained is:
\(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}+3 \mathrm{H}_{2} \mathrm{~S}+4 \mathrm{H}_{2} \mathrm{SO}_{4} \longrightarrow 3 \mathrm{S}+\mathrm{K}_{2} \mathrm{SO}_{4}+\mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}+7 \mathrm{H}_{2} \mathrm{O} \)
The products formed are sulphur, potassium sulphate, chromium sulphate and water.