Answer to Question #75101 in Inorganic Chemistry for Dolly

Question

Calculate the ionization energy of hydrogen atom using Bohr’s theory.

Answer 1

Solution:
For a single electron moving around a heavy nucleus:
E = Rh/n^2,
where Rh is the Rydberg constant, 2.18x10^-18 J
E(1) = 2.18x10^-18 J. This is the energy for one H atom.
E(1) = (2.18x10^-18 J/atom) x (6.02x10^23 atoms/mol) x (1kJ/1000J)
E(1) = 1312 kJ/mol – for 1 mole of atoms.
Answer: 1312 kJ/mol.