Question

The energy associated with the first orbit in the hydrogen atom is 2.18 x 10-18 J/atom. What is the energy associated with the fifth orbit? *​

Answer 1

Answer:

(i)The expression for the energy associated with nth orbit in hydrogen atom is E

n

=

n

2

−2.17×10

−18

J/atom.

The energy associated with fifth orbit is E

n

=

5

2

−2.17×10

−18

J/atom=−8.68×10

−20

J.

(ii) The radius of Bohr's nth orbit is given by the expression r

n

=0.0529n

2

nm.

For fifth orbit, the radius is r

5

=0.0529×5

2

nm=1.3225 nm.