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Calculate the energy required for the process , ` He^+ (g) rarr He^(2+) (g) + e` The ionization energy for the H-atom in the grounds state is ` 2. 18 xx 10 ^(-18) J "atom"^(-1)`. |
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Answer» Energy associated with hydrogen-like species is given by, `E_(a) = -2.18 xx 10^(-18) ((Z^(2))/(n^(2))) J` For ground state of hydrogen atom, `Delta E = E_(oo) - E_(1)` = `0 - [-2.18 xx 10^(-18) {((1)^(2))/((1)^(2)) }]J` `Delta E = 2.18 xx 10^(-18) J` For the given process , `He_((g))^(+) to He_((g))^(2+) + e^(-)` An electron is removed from n = 1 to n = `oo` `Delta E = E_(oo) - E_(1)` = `0 - [-2.18 xx 10^(-18) {((2)^(2))/((1)^(2)) }]` `Delta E = 8.72 xx 10^(-18) J` `therefore` The energy required for the process is `8.72 xx 10^(-18) J`. |
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