How many electrons can the fourth energy level (n = 4) hold in an atom?

• A. 8
• B. 24
• C. 16
• D. 32

Answer: (D)

Verified step by step guidance

1. Recall that the maximum number of electrons in any energy level (shell) is given by the formula \$2n^2\(, where \)n$ is the principal quantum number (energy level).
2. Identify the principal quantum number for the fourth energy level: \(n = 4\).
3. Substitute \(n = 4\) into the formula: \$2 \times (4)^2$.
4. Calculate the square of 4: \((4)^2 = 16\).
5. Multiply by 2 to find the maximum number of electrons: \$2 \times 16 = 32$ electrons.