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How many electrons can the second and third energy levels hold before they are full?
A
The second energy level can hold 6 electrons, and the third can hold 10 electrons.
B
The second energy level can hold 10 electrons, and the third can hold 14 electrons.
C
The second energy level can hold 2 electrons, and the third can hold 8 electrons.
D
The second energy level can hold 8 electrons, and the third can hold 18 electrons.
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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).
Identify the principal quantum numbers for the second and third energy levels: for the second energy level, \(n=2\), and for the third energy level, \(n=3\).
Calculate the maximum electrons in the second energy level using the formula: \(2 \times (2)^2 = 2 \times 4\).
Calculate the maximum electrons in the third energy level using the formula: \(2 \times (3)^2 = 2 \times 9\).
Interpret these results to understand that the second energy level can hold 8 electrons and the third energy level can hold 18 electrons before they are full.