Sketch a diagram of the Bohr model of a hydrogen atom, Using arrows for excitation and relaxation of electrons. Show an electron being excited from n=1 to n=5, then relaxing down to n=2. Using the equation for difference in energy levels for a hydrogen atom and the equation for the energy of a photon, calculate wavelength (in nm) of the photon emitted when the electron relaxed from n-5 to n=2. Show all our calculations.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Bohr Model of a Hydrogen Atom - Educational Guide**

**Instructions:**

1. **Sketch a Diagram:**
   - Create a diagram of the Bohr model representing a hydrogen atom.
   - Include circular orbits to depict different energy levels.
   
2. **Electron Excitation and Relaxation:**
   - Use arrows to illustrate the process of an electron being excited from the ground state (n=1) to a higher energy level (n=5).
   - Show the electron relaxing back down to a lower energy level (n=2).

3. **Energy Calculations:**
   - Employ the formula for energy difference between levels in a hydrogen atom:
     \[
     \Delta E = E_{\text{final}} - E_{\text{initial}}
     \]
   - Use the formula for photon energy:
     \[
     E = \frac{hc}{\lambda}
     \]
   where \(E\) is energy, \(h\) is Planck's constant, \(c\) is the speed of light, and \(\lambda\) is wavelength.

4. **Wavelength Calculation:**
   - Determine the wavelength (in nm) of the photon emitted when the electron transitions from n=5 to n=2.
   - Provide detailed calculations and formulae applications.

This guide should help visualize and calculate the energy transitions within the hydrogen atom using the Bohr model.
Transcribed Image Text:**Bohr Model of a Hydrogen Atom - Educational Guide** **Instructions:** 1. **Sketch a Diagram:** - Create a diagram of the Bohr model representing a hydrogen atom. - Include circular orbits to depict different energy levels. 2. **Electron Excitation and Relaxation:** - Use arrows to illustrate the process of an electron being excited from the ground state (n=1) to a higher energy level (n=5). - Show the electron relaxing back down to a lower energy level (n=2). 3. **Energy Calculations:** - Employ the formula for energy difference between levels in a hydrogen atom: \[ \Delta E = E_{\text{final}} - E_{\text{initial}} \] - Use the formula for photon energy: \[ E = \frac{hc}{\lambda} \] where \(E\) is energy, \(h\) is Planck's constant, \(c\) is the speed of light, and \(\lambda\) is wavelength. 4. **Wavelength Calculation:** - Determine the wavelength (in nm) of the photon emitted when the electron transitions from n=5 to n=2. - Provide detailed calculations and formulae applications. This guide should help visualize and calculate the energy transitions within the hydrogen atom using the Bohr model.
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