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How would you explain the fact that the 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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As Na is bigger than Mg .so first ionisaton of Na is less than Mg .But in case of second ionisation Na acquires the noble gas congiguration but Mg not So Na is having more ionisation than Mg.
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The effective nuclear charge of an atom is less than that of the actual charge on the nucleus because of the shielding or screening effect of inner core of electron over the valence electrons.
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