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Suppose that means were available for st...

Suppose that means were available for stripping `28` electrons from `_29 Cu` in vapour of this metel.
a. Compute the first three energy level for the remaining electron.
b. Find the wavelength of the spectral line of the series for which `n_(1) = 1, n_(1),3,4`. What is the ionization potential for the last electron?

Text Solution

Verified by Experts

Since `E_(n) prop (Z^(2))/(n^(2))` in a hydrogen-like atom , the energy levels will be `29^(2) = 841` time the corresponding energies for hydrogen.
`:. E_(n) = 841 xx ((-13.6)/n^(2)) or E_(1) = - 11.44 ke V`
`E_(2) = - 2.86 ke V`
`E_(3) = - 1.27 ke V`
b. Making use of
`Delta E = E_(n) - E_(1)`
`implies lambda _(1) = 1.44 Å. lambda _(2) = 1.22 Å, and lambda _(3) = 1.15 Å`.
Lonization potential is the potential corresponding to energy `|E_(1)|`.
`V_(oo) = (|E_(1)|)/(e) = 11.44 kV`
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