Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 32

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1115

Answers without the blur.

Just sign up for free and you're in.


Short Answer

How much energy does it take to ionize a hydrogen atom that is in its first excited state?

The excited hydrogen atom's ionization energy will be eV or less.

See the step by step solution

Step by Step Solution

Step 1: Given information

The given energy of the first excited state of a hydrogen atom

Step 2: Finding ionization energy of hydrogen

The energy of an electron in a quantum state is calculated as follows:

For the first excited state, the quantum number n is given by . Hence the energy of the electron in the first excited state is

The energy of the electron after ionization is

As a result, the energy we must provide is

As a result, ionizing a hydrogen atom from its first excited state will require eV of energy.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.