Question

Calculate the energy, in joules, of a C5+ ion with an electron in the n=3 state.

Answer 1

Answer) Energy of C⁵⁺ ion with electron in n= 3 state is -8.72 * 10^-18 J

C⁵⁺ ion is an atom with a single electron. So the predictions of the Bohr-model hold for this ion. According to Bohr model the energy of an electron orbiting at level n around a nucleus with Z protons is given by:
E_n= - R_H · Z² / n²

E_n is energy in nth state

R_H is Rydberg constant = 2.18 * 10^-18J

Z is atomic number

Z of carbon = 6

n = 3 ( given)

Putting values in formula we get ,

E₃ = - [(2.18 * 10^-18 J ) * (6)² ]/(3)²

E₃ = - [(2.18 * 10^-18 J ) * (36)]/9

E₃ = - (2.18 * 10^-18 J ) * (4)

E₃ = - 8.72 * 10^-18 J