Question:

The energy required to remove the electron from a singly ionized Helium atom is 2.2 times the energies required to remove an electron from Helium atom. The total energy required to ionize the Helium atom completely is :

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For He+ (hydrogen-like, Z = 2) the ionization energy is 13.6 Z^2 eV; the neutral atom needs 1/2.2 of that for the first electron.
Updated On: Nov 11, 2026
  • \(20\ eV\)
  • \(34\ eV\)
  • \(79\ eV\)
  • \(109\ eV\)
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The Correct Option is C

Solution and Explanation

Ionization energy of He\(^+\) (hydrogen-like, Z = 2): \(E_2 = 13.6\times Z^2 = 13.6\times4 = 54.4\) eV.
Energy to remove one electron from the He atom: \(E_1 = \frac{54.4}{2.2} \approx 24.7\) eV.
Total energy to ionize He completely: \(E_1 + E_2 = 24.7 + 54.4 \approx 79\) eV.
Answer: (3) \(79\ eV\)
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