The answer is C.
Ligand exchange only means the ligands around the metal ion change but the oxidation state of the metal does not.
In C, chromium stays +3 throughout; a sulfate ion acts as a monodentate ligand and replaces one water ligand, which changes the colour from purple to green:
\([\text{Cr}(\text{H}_2\text{O})_6]^{3+} + \text{SO}_4^{2-} \rightleftharpoons [\text{Cr}(\text{H}_2\text{O})_5\text{SO}_4]^+ + \text{H}_2\text{O}\)
• A is wrong: Cu(II) and Cu(0) react to give Cu(I) (comproportionation), \(\text{Cu}^{2+} + \text{Cu} + 4\text{Cl}^- \rightarrow 2\text{CuCl}_2^-\), so it is a redox reaction, not ligand exchange only.
• B is wrong: zinc displaces copper, \(\text{Cu}^{2+}(\text{aq}) + \text{Zn}(\text{s}) \rightarrow \text{Cu}(\text{s}) + \text{Zn}^{2+}(\text{aq})\). Cu(II) is reduced to Cu and Zn is oxidised, so it is a redox reaction.
• D is wrong: \(5\text{Fe}^{2+} + \text{MnO}_4^- + 8\text{H}^+ \rightarrow 5\text{Fe}^{3+} + \text{Mn}^{2+} + 4\text{H}_2\text{O}\). Fe(II) is oxidised to Fe(III) and Mn(VII) is reduced to Mn(II), so it is a redox reaction.
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