Question
Using the Bohr model, determine the energy, in joules, necessary to ionize a ground-state hydrogen atom. Show your calculations.
Step 1
The energy of an electron in the nth energy level of a hydrogen atom is given by the formula: \[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \] where \( E_n \) is the energy in electron volts (eV) and \( n \) is the principal quantum number. Show more…
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Calculate the energy, in joules, required to ionize a hydrogen atom when its electron is initially in the n=3 energy level. The energy needed to ionize a ground-state hydrogen atom is 2.18x10^-18 J.
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