how enthalpy of atomisation determine the standard electrode potential of metal?
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The standard electrode potential of a reaction (Eo) is related to the Gibbs free energy change (ΔGo) and the enthalpy change (ΔHo) by:

For example, The reaction of metallic lithium with water is more exothermic than any other alkali metal (many times more exothermic for a given mass or volume), but it is less vigorous for kinetic reasons. The enthalpy change of atomisation is twice as high for lithium than for potassium, indicating stronger bonding in the metal.
This concept can be extended to transition metals

For example, The reaction of metallic lithium with water is more exothermic than any other alkali metal (many times more exothermic for a given mass or volume), but it is less vigorous for kinetic reasons. The enthalpy change of atomisation is twice as high for lithium than for potassium, indicating stronger bonding in the metal.
This concept can be extended to transition metals
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