Calculate the energy required for the process

`He_(" "(g))^+ ->He_(" " (g))^(2+) + e^(-)`

The ionization energy for the H atom in the ground state is 2.18 ×10^{–18} J atom^{–1}

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#### Solution

Energy associated with hydrogen-like species is given by,

`E_n = -2.18 xx 10^(-18) (Z^2/n^2)J`

For ground state of hydrogen atom,

`triangleE = E_prop - E_1`

`= 0 - [-2.18 xx 10^(-18) {(1)^2/(1)^2}]J`

`triangleE =2.18 xx 10^(-18) J`

For the given process,

`He_(" "(g))^+ -> He_(" "(g))^(2+) + e^(-)`

An electron is removed from *n* = 1 to* n* = ∞.

`triangleE = E_prop - E_1`

`= 0-[-2.18 xx 10^(-18) {(2)^2/(1)^2}]`

`triangleE = 8.72 xx 10^(-18) J`

∴ The energy required for the process is `8.72 xx 10^(-18)J`

Concept: Bohr'S Model for Hydrogen Atom

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