Periodic Classification And Periodic Properties Result Question 2

2. The element having greatest difference between its first and second ionisation energy, is

(2019 Main, 9 April I)

(a) $\mathrm{Ca}$

(b) $\mathrm{Sc}$

(c) $\mathrm{Ba}$

(d) $\mathrm{K}$

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Answer:

Correct Answer: 2. ( d )

Solution:

  1. The electronic configuration of given elements are as follows :

$ \begin{aligned} & \mathrm{K}(19)=1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 4 s^1 \\ & \mathrm{Mg}(12)=1 s^2 2 s^2 2 p^6 3 s^2 \\ & \operatorname{Sr}(38) \quad 1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 4 s^2 3 d^{10} 4 p^6 5 s^2 \\ & \operatorname{Sc}(21) \quad 1 s^2 2 s^2 2 p^6 3 s^2 3 p^6 4 s^2 3 d^1 \end{aligned} $

First ionisation enthalpy (I.E.) of $K$ is lowest among the given options. Here, the energy required to remove an electron from $4 s^1$ is least as only one electron is present in the outermost shell. I.E. (I) is comparatively high for $\mathrm{Mg}$ and $\mathrm{Sr}$ and two electrons (fully-filled) are placed in $s$-orbital. Second ionisation enthalpy of $\mathrm{K}$ is highest among the given options.

Now, removal of an electron occur from $p^6$ (fully-filled). So, high energy is required to remove the electron. From the above discussion, it can be concluded that (I. $\mathrm{E} _2 \quad \mathrm{I} . \mathrm{E} _1$ ) value is maximum for $\mathrm{K}$ (potassium).