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This is a redox question. In order for Mg2+ to oxidize Fe(s), Mg2+ needs to have a higher reduction potential (tendency to be reduced) than Fe2+.

Mg2+ + 2 e− --> Mg(s) E° = −2.372 Volts

Fe2+ + 2 e− --> Fe(s) E° = −0.44 Volts (More favorable reaction)

Fe2+ has a higher reduction potential than Mg2+, so Mg+2 will not oxidize Fe(s).

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