(a) Write the Nernst equation for the half reaction for the reduction of permanganate ion to (mathrm{MnO}_{2}).[mathrm{MnO}_{4}^{-}+4...

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(a) Write the Nernst equation for the half reaction for the reduction of permanganate ion to \(\mathrm{MnO}_{2}\).\[\mathrm{MnO}_{4}^{-}+4 \mathrm{H}^{+}+3 \mathrm{e}^{-} ightleftarrows \mathrm{MnO}_{2}+2 \mathrm{H}_{2} \mathrm{O} \quad E^{\circ}=1.70\]

(b) Calculate the formal potential for this half reaction at \(\mathrm{pH}=7.0\).

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