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

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First ionisation enthalpy of sodium `(Na =1s^(2), 2s^(2), 2p^(6), 3s^(1))` is lower than that of magnesium `(Mg=1s^(2), 2s^(2), 2p^(6), 3s^(2))` because the electron to be removed in both the cases is from 3s-orbital but the nuclear charge is lower than Na than that of magnesium. After the removal of first electron `Na^(+)` acquries inert gas (Ne) configuraion `(Na^(+)=1s^(2), 2s^(2), 2p^(6), 3s^(1))`. In this case `3s^(1)` electron is easy to remove in comparison to remove an electron from inert gas configuration. Therefore, `IE_(2)` of Na is higher than that of magnesium.
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