The energy required to remove the electron from a singly ionized … - Vidyadip

MCQ

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 Helium atom . The total energy required to ionize the Helium atom completely is......$eV$

A
$20$
✓
$79$
C
$109$
D
$34$

✓

Answer

Correct option: B.

$79$

b
Energy required to remove e - from singly

ionized helium atom ${ = \frac{{(13.6){Z^2}}}{{{1^2}}} = 54.4\,{\text{eV}}}$

$(\because Z=2)$

Energy required to remove $e^-$ from helium atom $=x\,eV$

According to question, $54.4 \mathrm{eV}=2.2 \mathrm{x} \Rightarrow \mathrm{x}$

$=24.73 \mathrm{eV}$

Therefore, energy required to ionize helium atom $=(54.4+24.73)eV$ $=79.12 \mathrm{eV}$

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