Textbook Question
What is the maximum number of electrons in an atom that can have the following quantum numbers? a. n = 3, ml = -2; b. n = 4, l = 3; c. n = 5, l = 3, ml = 2; d. n = 4, l = 1, ml = 0.
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9. Quantum Mechanics
Quantum Numbers: Number of Electrons
Multiple Choice
How many electrons can the first energy level (n = 1) of an atom hold?
A
4
B
8
C
2
D
6
Verified step by step guidance1
Recall that the number of electrons that can occupy a given energy level (shell) is determined by the formula \$2n^2\(, where \)n$ is the principal quantum number (energy level).
Identify the principal quantum number for the first energy level, which is \(n = 1\).
Substitute \(n = 1\) into the formula: \(2 \times (1)^2\).
Calculate the value inside the parentheses first: \((1)^2 = 1\).
Multiply by 2 to find the maximum number of electrons: \(2 \times 1 = 2\). Therefore, the first energy level can hold 2 electrons.
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