Question

How much energy is required to ionize hydrogen when it is in the n = 5 state?

Answer 1

Answer:

0.544 eV

Explanation:

To ionize the hydrogen atom $n_f\rightarrow infinte$

So the required energy is $\Delta E=13.6(\frac{1}{n_i^2}-\frac{1}{n_f^2})$ as  $n_f\rightarrow infinte$

So $\Delta E=13.6\frac{1}{n_i^2}$

We have to calculate the energy required to ionize hydrogen atom when it is in n=5

So the energy should be less than $\Delta E=13.6\frac{1}{5^2}=0.544eV$