Question #44245

Consider the standard electrode potential $E^\circ_{\ce{M^{2+}/M}}$ for a 3d transition metal $\ce{M}$ at $298\text{ K}$. The thermodynamic parameters for the Born-Haber cycle of the half-reaction $\ce{M(s) -> M^{2+}(aq) + 2e^-}$ are given below:

$\Delta H^\circ_{\text{sublimation}} = 280\text{ kJ mol}^{-1}$ $\Delta S^\circ_{\text{sublimation}} = 100\text{ J K}^{-1}\text{ mol}^{-1}$ $\Delta G^\circ_{\text{ionization}} (\ce{M(g) -> M^{2+}(g) + 2e^-}) = 1800\text{ kJ mol}^{-1}$ $\Delta H^\circ_{\text{hydration}} (\ce{M^{2+}(g)}) = -1900\text{ kJ mol}^{-1}$ $\Delta S^\circ_{\text{hydration}} (\ce{M^{2+}(g)}) = -260\text{ J K}^{-1}\text{ mol}^{-1}$

Given the Faraday constant $F = 96500\text{ C mol}^{-1}$, calculate the standard reduction potential $E^\circ_{\ce{M^{2+}/M}}$ in Volts. (Assume standard state conditions and ideal behavior).