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Mn(s) metal will spontaneously react with Zn²⁺(aq), but will not
spontaneously react with Mg²⁺ (aq)
The Eo value of an electrochemical cell determines its spontaneity. Positive Eo electrochemical cells are spontaneous, and vice versa.
The relevant Eo of the half-cell in this instance are as follows for Mn(s) metal
Zn2+/Zn = -0.763v for Eo
2.37v for Eo Mg2+/Mg.
Mn2+/Mn = -1.18v for Eo.
Consequently, the equation for an Eo cell (with Zn as one of the half-cells) is: Eo Zn2+/Zn - Eo Mn2+/Mn = -0.763 - (-1.18) = 0.417v.
On the other hand, the equation for an Eo cell (with Mg as one of the half-cells) is: Eo Mg2+/Zn - Eo Mn2+/Mn = -2.37 - (-1.18) = -1.19v.
As a result, Mn(s) metal will spontaneously react with Zn2+(aq), but not with Mg2+ (aq)
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