(i) The energy associated with the first orbit in the hydrogen atom is –2.18 × 10–18 J atom–1. What is the energy associated with the fifth orbit?
(ii) Calculate the radius of Bohr’s fifth orbit for hydrogen atom.
(i) Energy of an electrons = - (2.18× 10-18)/n2
Where n = principal quantum number
Now the Energy associated with the fifth orbit of hydrogen atom is
E5 = -(2.18× 10-18)/(5)2 = -2.18× 10-18/25
E5 = -8.72 × 10-20J
(ii) Radius of Bohr’s nth for hydrogen atom is given by,
Rn = (0.0529nm) / n2
For,
N = 5
R5 = (0.0529 nm) (5)2
R5 = 1.3225 nm