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How would you explain the fact that first ionization enthalpy of sodium is lower than that of magnesium but its second ionization enthalpy is higher than that of magnesium?

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This is because for second ionisation enthalpy the electron has to be taken from complete octet which requires more energy in case of sodium .
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As sodium has 1 electron in its valace shell so can easily lose it to complete his octet while Mag. Has 2 valance electron so 1st ionization enthalpy of sodium is lower than mag. . While for 2nd sodium have to lose electron from his complete octet so needed more energy while mag lose easily his 2nd electron...
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As sodium has 1 electron in its valace shell so can easily lose it to complete his octet while Mag. Has 2 valance electron so 1st ionization enthalpy of sodium is lower than mag. . While for 2nd sodium have to lose electron from his complete octet so needed more energy while mag lose easily his 2nd electron to complete octet hence 2nd ionization enthalpy of sodium is higher than mag 

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