The energy of an electron with n = 8 in a hydrogen atom is -3.405 × [tex]10^-20[/tex] J.
Let us recall that in the Bohr model of the atom electrons are arranged in orbits. These orbits were otherwise called energy levels or shells. Each shell had a specific energy associated with it as we have been asked to calculate here, the energy associated with the energy level or shell, n=8.
Energy is absorbed or emitted when an electron moves from one energy level to another in this Bohr model.
Given the formula;
E = - k[tex]Z^2[/tex]/[tex]n^2[/tex]
k = 2.179 × [tex]10^-18[/tex] J
But Z = 1 for hydrogen
Substituting values;
E = -2.179 × [tex]10^-18[/tex] [tex](1)^2[/tex]/[tex]8^2[/tex]
E = -2.179 × [tex]10^-18[/tex] × 1/64
E = -3.405 × [tex]10^-20[/tex] J
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