Question

(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.

Answer 1

(i) Energy associated with the fifth orbit of hydrogen atom is calculated as:

E₅ = –8.72 × 10^–20 J

(ii) Radius of Bohr’s n^th orbit for hydrogen atom is given by,

r_n = (0.0529 nm) n²

For,

n = 5

r₅ = (0.0529 nm) (5)²

r₅ = 1.3225 nm