Question

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

Answer 1

0.544 eV

Step-by-step explanation:

To ionize the hydrogen atom
`n_f\rightarrow infinte`

So the required energy is
`\Delta E=13.6((1)/(n_i^2)-(1)/(n_f^2))` as
`n_f\rightarrow infinte`

So
`\Delta E=13.6(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(1)/(5^2)=0.544eV`