NEET2005ChemistryStructure of AtomActual
The energy of second Bohr orbit of the hydrogen atom is -328 ~kJ ~mol ⁻¹ ; hence the energy of fourth Bohr orbit would be
Options
- A-41 ~kJ ~mol ⁻¹
- B-82 ~kJ ~mol ⁻¹
- C-164 ~kJ ~mol ⁻¹
- D-1312 ~kJ ~mol ⁻¹
Correct answer
B. -82 ~kJ ~mol ⁻¹
Step-by-step solution
Z =1 for hydrogen ; n=2 aligned & E _n=-k ( Z n )^2 & E ₂= -k 1 4 & E ₂=-328 KJ mol ⁻¹ ; k=4 328 & E ₄= -k 1 16 & E ₄=-4 328 1 16 & E ₄=-82 KJ mol ⁻¹ aligned Related Theory The total mechanical energy of an electron in a Bohr orbit is the sum of its kinetic and potential energies. The lowest energy is called the ground state. Caution It is given that the energy of the electron in the first Bohr H -atom is -13.6 eV