Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 38m
5. BONUS: Mathematical Operations and Functions48m
6. Chemical Quantities & Aqueous Reactions3h 53m
7. Gases3h 49m
8. Thermochemistry2h 37m
9. Quantum Mechanics2h 58m
10. Periodic Properties of the Elements3h 9m
11. Bonding & Molecular Structure3h 29m
12. Molecular Shapes & Valence Bond Theory1h 57m
13. Liquids, Solids & Intermolecular Forces2h 23m
14. Solutions3h 1m
15. Chemical Kinetics2h 53m
16. Chemical Equilibrium2h 29m
17. Acid and Base Equilibrium5h 1m
18. Aqueous Equilibrium4h 47m
19. Chemical Thermodynamics1h 50m
20. Electrochemistry2h 42m
21. Nuclear Chemistry2h 36m
22. Organic Chemistry5h 7m
23. Chemistry of the Nonmetals2h 39m
24. Transition Metals and Coordination Compounds3h 16m

9. Quantum Mechanics

Bohr Model

General Chemistry

9. Quantum Mechanics

Bohr Model

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Multiple Choice

An electron in the n = 7 level of the hydrogen atom relaxes to a lower-energy level, emitting light of 397 nm. What is the value of n for the level to which the electron relaxed?

n = 3

n = 4

n = 5

n = 1

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Verified step by step guidance

Identify the initial and final energy levels of the electron transition. The initial level is given as n = 7, and the final level is unknown, denoted as n_f.

Use the Rydberg formula to relate the wavelength of the emitted light to the energy levels: \( \frac{1}{\lambda} = R_H \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right) \), where \( \lambda \) is the wavelength (397 nm), \( R_H \) is the Rydberg constant (1.097 x 10^7 m^-1), \( n_i \) is the initial energy level (7), and \( n_f \) is the final energy level.

Convert the wavelength from nanometers to meters for consistency in units: 397 nm = 397 x 10^-9 m.

Rearrange the Rydberg formula to solve for \( n_f \): \( \frac{1}{n_f^2} = \frac{1}{\lambda R_H} + \frac{1}{n_i^2} \). Substitute the known values into the equation.

Calculate \( n_f \) by evaluating the right side of the equation and finding the inverse square root. Compare the result to the given options (n = 3, n = 4, n = 5, n = 1) to determine the correct final energy level.