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Question:

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

20eV

79eV

34eV

109eV

Solution:

Let E1 = energy required to remove e⁻ from singly ionised Helium atom = +13.6z²/n² = (13.6)(2)²/(1)² = 54.4eV
E2 = energy required to remove an e⁻ from He -atom
given E1 = 2.2E2
∴E2 = E1/2.2 = 54.4/2.2 = 24.7eV
∴Energy required to remove both e⁻'s from He-atom = 24.7 + 54.4 = 79.1eV