Question:

Consider the elements with atomic numbers \(Z=1\) to \(Z=20\). The number of elements with only one unpaired electron in their ground state is

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Use electronic configuration and Hund's rule to count unpaired electrons in ground state.
  • \(10\)
  • \(6\)
  • \(8\)
  • \(12\)
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The Correct Option is C

Solution and Explanation

We need to count elements from \(Z=1\) to \(Z=20\) having only one unpaired electron in the ground state. Now check important electronic configurations. Hydrogen: \[ Z=1:\quad 1s^1 \] It has one unpaired electron. Lithium: \[ Z=3:\quad 1s^2 2s^1 \] It has one unpaired electron. Boron: \[ Z=5:\quad 1s^2 2s^2 2p^1 \] It has one unpaired electron. Fluorine: \[ Z=9:\quad 1s^2 2s^2 2p^5 \] It has one unpaired electron. Sodium: \[ Z=11:\quad [Ne]3s^1 \] It has one unpaired electron. Aluminium: \[ Z=13:\quad [Ne]3s^2 3p^1 \] It has one unpaired electron. Chlorine: \[ Z=17:\quad [Ne]3s^2 3p^5 \] It has one unpaired electron. Potassium: \[ Z=19:\quad [Ar]4s^1 \] It has one unpaired electron. Thus, the elements are: \[ H,\ Li,\ B,\ F,\ Na,\ Al,\ Cl,\ K. \] Total number is: \[ 8. \]
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