Table of contents

1. Intro to General Chemistry3h 48m
2. Atoms & Elements4h 16m
3. Chemical Reactions4h 10m
4. BONUS: Lab Techniques and Procedures1h 36m
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

Quantum Numbers: Principal Quantum Number

General Chemistry

9. Quantum Mechanics

Quantum Numbers: Principal Quantum Number

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Multiple Choice

Which set of four quantum numbers represents the last electron added to the Zn atom according to the Aufbau principle?

n=4, l=1, m_l=0, m_s=-1/2

n=3, l=2, m_l=2, m_s=-1/2

n=4, l=0, m_l=0, m_s=+1/2

n=3, l=2, m_l=1, m_s=+1/2

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Verified step by step guidance

Identify the electron configuration of a Zn atom. Zinc (Zn) has an atomic number of 30, meaning it has 30 electrons. The electron configuration is: 1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹⁰ 4s².

Determine the last subshell being filled according to the Aufbau principle. The Aufbau principle states that electrons fill orbitals starting at the lowest available energy levels before filling higher levels. For Zn, the last subshell being filled is 3d, as 4s is filled before 3d but 3d is higher in energy.

Identify the quantum numbers for the last electron added. The last electron added to Zn is in the 3d subshell. The quantum numbers for a 3d electron are: n=3 (principal quantum number), l=2 (angular momentum quantum number for d orbitals), m_l can be -2, -1, 0, 1, or 2 (magnetic quantum number), and m_s can be +1/2 or -1/2 (spin quantum number).

Determine the specific set of quantum numbers for the last electron. Since the 3d subshell can hold up to 10 electrons, and Zn has a full 3d subshell, the last electron added will have m_l=1 and m_s=+1/2, as it fills the last available spot in the 3d subshell.

Match the correct set of quantum numbers to the options provided. The correct set of quantum numbers for the last electron added to Zn is n=3, l=2, m_l=1, m_s=+1/2, which matches the given correct answer.