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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