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The correct order of $$E^0_{M^{2+}/M}$$ values with negative sign for the four successive elements Cr, Mn, Fe and Co is
The standard reduction potentials for the given metals are:
$$E^\circ_{\mathrm{Cr^{2+}/Cr}}=-0.91\ \mathrm{V}$$
$$E^\circ_{\mathrm{Mn^{2+}/Mn}}=-1.18\ \mathrm{V}$$
$$E^\circ_{\mathrm{Fe^{2+}/Fe}}=-0.44\ \mathrm{V}$$
$$E^\circ_{\mathrm{Co^{2+}/Co}}=-0.28\ \mathrm{V}$$
Across the $$3d$$ transition series, the values of $$E^\circ_{M^{2+}/M}$$ generally become less negative from left to right.
Manganese shows an exception because $$\mathrm{Mn^{2+}}$$ possesses a highly stable half-filled $$3d^5$$ configuration. Hence, reduction of $$\mathrm{Mn^{2+}}$$ to metallic manganese is less favorable, making its reduction potential highly negative.
Considering the magnitudes of the negative potentials:
$$\mathrm{Mn}:1.18$$
$$\mathrm{Cr}:0.91$$
$$\mathrm{Fe}:0.44$$
$$\mathrm{Co}:0.28$$
Therefore, the decreasing order of the values with negative sign is
$$\mathrm{Mn > Cr > Fe > Co}$$
Hence, the correct order is
$$\boxed{\mathrm{Mn > Cr > Fe > Co}}$$
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