calculate the energy change when an electron in the hydrogen atom transitions from n=3 to n=1

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
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calculate the energy change when an electron in the hydrogen atom transitions from n=3 to n=1

The image displays an energy level diagram for an electron in an atom. The diagram has three energy levels, each represented by a horizontal line. Each line is labeled with the principal quantum number \( n \) and the corresponding energy \( E \). The energies are expressed in joules (J).

- **Level \( n = 3 \):** 
  - Energy \( E_3 = -2.42 \times 10^{-19} \) J

- **Level \( n = 2 \):** 
  - Energy \( E_2 = -5.45 \times 10^{-19} \) J

- **Level \( n = 1 \):**
  - Energy \( E_1 = -2.18 \times 10^{-18} \) J

The diagram is used to illustrate the discrete energy levels available to an electron within an atom. As electrons transition between these levels, they absorb or emit energy equal to the difference between the initial and final energy levels. This concept is foundational in understanding atomic structure and spectral lines.
Transcribed Image Text:The image displays an energy level diagram for an electron in an atom. The diagram has three energy levels, each represented by a horizontal line. Each line is labeled with the principal quantum number \( n \) and the corresponding energy \( E \). The energies are expressed in joules (J). - **Level \( n = 3 \):** - Energy \( E_3 = -2.42 \times 10^{-19} \) J - **Level \( n = 2 \):** - Energy \( E_2 = -5.45 \times 10^{-19} \) J - **Level \( n = 1 \):** - Energy \( E_1 = -2.18 \times 10^{-18} \) J The diagram is used to illustrate the discrete energy levels available to an electron within an atom. As electrons transition between these levels, they absorb or emit energy equal to the difference between the initial and final energy levels. This concept is foundational in understanding atomic structure and spectral lines.
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