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Q. The amount of energy required to remove electron from a $Li^{+2}$ ion in its ground state is how many times greater than the amount of energy needed to remove the electron from an $H$ atom in its ground state ?

Structure of Atom

Solution:

Ionisation energy of $ Li ^{+2} \text { ion } =0-\left(13.6 \times \frac{3^{2}}{1^{2}}\right) $
$=122.4 \,eV $
and Ionisation energy of $H$ atom $=0-\left(13.6 \times \frac{1^{2}}{1^{2}}\right)$
$-13.6 \,eV$
$\therefore $ I.E. $\left(\right.$ of $\left.Li ^{+2}\right)=9 \times$ I.E. (of $\left.H \right)$