Question

One of two hydrogen atoms has electrons at n = 1 Bohr orbit while the other has electrons at n = 4 Bohr orbit.

(a)Derive how much orbit the orbit has.

(b) Find out which hydrogen atoms have lower potential energy and compare the ionization energies at two hydrogen atoms.

Answer 1

One of the hydrogen atoms have its electron promoted up to the 4th energy level. The other have it in its ground state.

B. As an electron move away from the nucleus its potential.energy goes on increasing.

This phenomenon usually results due to increased distance between two oppositely charged species i.e nucleus and electron.

Therefore atom with electron at n = 1 will have lesser potential energy than atom with electron at n =4.

■ Ionisation energy is the energy required to pull out an electron from the outermost shell of an isolated atom

As the distance between nucleus and electron increases it becomes easier to pull out that electron as there is nothing holding on to the electron.

As a result ,

Ionisation energy of Hydrogen atom with electron at n=1 will be higher than that for n = 4 .

( part a of the question is unclear )