Calculate the energy of an electron in the 8th energy level of a hydrogen atom.

Answer 1

In the Bohr model

the energy of an electron in the n^th level for a hydrogen atom is given by the equation

E = (–hcR_H)(1/n²) where

h = Planck's constant = 6.626 × 10^–34 J⋅s

c = the speed of light = 2.998 × 10⁸ m/s

R_H = the Rydberg constant = 1.097 × 10⁷ m^–1

So (–hcR_H) = –2.18 × 10^–18 J

Plug n = 8 into the equation

E = (–2.18 × 10^–18 J)(1/n²)

and you have you answer.

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