Calculate the change in energy for an electron transitioning from the n=5 state to the n=2 state. Give your answer in attojoules. Please be sure to include the correct sign.
Calculate the change in energy for an electron transitioning from the n=5 state to the n=2 state. Give your answer in attojoules. Please be sure to include the correct sign.
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Calculate the change in energy for an electron transitioning from the n=5 state to the n=2 state. Give your answer in attojoules. Please be sure to include the correct sign.
![The image contains the formula for calculating the change in energy, ΔE, of an electron transitioning between energy levels in a hydrogen atom. The formula is as follows:
\[
\Delta E = 2.17987 \times 10^{-18} \, \text{J} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right)
\]
Where:
- \( \Delta E \) is the change in energy in joules (J).
- \( n_i \) is the initial energy level (principal quantum number).
- \( n_f \) is the final energy level (principal quantum number).
This equation is derived from the Rydberg formula for hydrogen and is used to calculate the energy difference as an electron moves between two different orbitals in a hydrogen atom.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8f14c1aa-67e7-4b44-aa29-8ad44b780e0c%2F4b1c551d-5e46-443b-b9b9-5778d11b7f9e%2F51e254j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the formula for calculating the change in energy, ΔE, of an electron transitioning between energy levels in a hydrogen atom. The formula is as follows:
\[
\Delta E = 2.17987 \times 10^{-18} \, \text{J} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right)
\]
Where:
- \( \Delta E \) is the change in energy in joules (J).
- \( n_i \) is the initial energy level (principal quantum number).
- \( n_f \) is the final energy level (principal quantum number).
This equation is derived from the Rydberg formula for hydrogen and is used to calculate the energy difference as an electron moves between two different orbitals in a hydrogen atom.
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