Determine the ionization energy of a hydrogen atom (in kJ/mol) if the electron is in its ground state. (Hints: Use the Rydberg equation, remember E=hc for a single H atom, and R=109678x10–2nm–1 )

Question

_____ kJ/mol

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Answer 1

1/wavelength = R(1/n1^2 - 1/n2^2)
n1 = 1
n2 = infinity which makes 1/n2^2 = 0 so you have
1/wavelength = R(1)
Calculate wavelength.
Then E = hc/wavelength.
Solve for E in J. That will be for 1 atom. Multiply by 6.022E23 to convert to J/mol and convert that to kJ/mol.

Answer 2

1.312E03