During the electrolysis of dilute sulphuric acid (H\(_2\)SO\(_4\)), the solution contains the following ions:
\[
\text{H\(_2\)O} \rightleftharpoons \text{H}^+ + \text{OH}^-, \quad \text{H\(_2\)SO\(_4\)} \rightarrow 2\text{H}^+ + \text{SO}_4^{2-}
\]
At the cathode (reduction):
- H\(^+\) ions gain electrons to form H\(_2\) gas:
\[
2\text{H}^+ + 2e^- \rightarrow \text{H}_2(g)
\]
At the anode (oxidation):
- OH\(^-\) ions from water are oxidized more easily than SO\(_4^{2-}\):
\[
4\text{OH}^- \rightarrow 2\text{H}_2\text{O} + \text{O}_2(g) + 4e^-
\]
Thus, at the anode, oxygen gas (O\(_2\)) is liberated.