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Because iron is more reactive than copper. If iron displaces copper, that releases energy (enthalpy). If copper were to displace iron, that would require energy to be used. This is less favourable and , averaged over the huge number of molecules, atoms and ions in the solution, the more energy producing reaction is vastly preferred. Hence, iron put into copper sulphate solution gets coated in copper and the solution slowly loses its blue colour. But if you put copper metal in iron sulphate solution, nothing noticable occurs.

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Q: Why will iron displace copper from aqueous solutions of copper salts?
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