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42. what is the correct ground state electron configuration for an atom…

Question

  1. what is the correct ground state electron configuration for an atom of silicon (si), which has an atomic number of 14?

options:
1s² 2s² 2p⁶ 3s² 3d⁴
1s² 2s² 2p⁶ 3s² 3p²
1s² 2s² 2p⁶ 3s² 3p²
1s² 2s² 2p⁶ 3s² 3d²
clear all

Explanation:

Step1: Recall electron configuration rules

Electrons fill orbitals in order of increasing energy: \(1s < 2s < 2p < 3s < 3p < 4s < 3d \dots\). The maximum electrons in \(s\)-orbital is 2, \(p\)-orbital is 6, \(d\)-orbital is 10. Silicon (atomic number 14) has 14 electrons.

Step2: Fill orbitals step by step

  • \(1s\) orbital: holds 2 electrons (\(1s^2\)).
  • \(2s\) orbital: holds 2 electrons (\(2s^2\)).
  • \(2p\) orbital: holds 6 electrons (\(2p^6\)) (total so far: \(2 + 2 + 6 = 10\)).
  • \(3s\) orbital: holds 2 electrons (\(3s^2\)) (total: \(10 + 2 = 12\)).
  • Remaining electrons: \(14 - 12 = 2\), which go to \(3p\) orbital (\(3p^2\)).

So the electron configuration is \(1s^2 2s^2 2p^6 3s^2 3p^2\). The second and third options (they are the same) match this.

Answer:

B. \(1s^2 2s^2 2p^6 3s^2 3p^2\) (and C. \(1s^2 2s^2 2p^6 3s^2 3p^2\) as they are identical; assuming the second and third options are the correct ones with this configuration)