Questions: Fill in the information missing from this table: Some electron subshells subshell principal quantum number n angular momentum quantum number l maximum number of electrons 5 p 2 s 4 f

Fill in the information missing from this table:
Some electron subshells
subshell principal quantum number n angular momentum quantum number l maximum number of electrons
5 p
2 s
4 f

Transcript text: Fill in the information missing from this table: \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Some electron subshells } \\ \hline subshell & \begin{tabular}{c} principal quantum \\ number $n$ \end{tabular} & \begin{tabular}{c} angular momentum \\ quantum number $l$ \end{tabular} & \begin{tabular}{c} maximum number of \\ electrons \end{tabular} \\ \hline $5 p$ & $\square$ & $\square$ & $\square$ \\ \hline $2 s$ & $\square$ & $\square$ & $\square$ \\ \hline 4 f & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Understanding Quantum Numbers and Electron Capacity

Each electron subshell is characterized by two quantum numbers: the principal quantum number $ n $ and the angular momentum quantum number $ l $. The principal quantum number $ n $ indicates the energy level, while the angular momentum quantum number $ l $ determines the shape of the subshell and is associated with specific subshell types (s, p, d, f, etc.).

The maximum number of electrons in a subshell is given by the formula $ 2(2l + 1) $.

Step 2: Filling in the Information for Each Subshell

Subshell $ 5p $

Principal Quantum Number $ n $: The number before the letter indicates the principal quantum number. For $ 5p $, $ n = 5 $.
Angular Momentum Quantum Number $ l $: The letter $ p $ corresponds to $ l = 1 $.
Maximum Number of Electrons: For $ l = 1 $, the maximum number of electrons is $ 2(2 \times 1 + 1) = 6 $.

Subshell $ 2s $

Principal Quantum Number $ n $: For $ 2s $, $ n = 2 $.
Angular Momentum Quantum Number $ l $: The letter $ s $ corresponds to $ l = 0 $.
Maximum Number of Electrons: For $ l = 0 $, the maximum number of electrons is $ 2(2 \times 0 + 1) = 2 $.

Subshell $ 4f $

Principal Quantum Number $ n $: For $ 4f $, $ n = 4 $.
Angular Momentum Quantum Number $ l $: The letter $ f $ corresponds to $ l = 3 $.
Maximum Number of Electrons: For $ l = 3 $, the maximum number of electrons is $ 2(2 \times 3 + 1) = 14 $.

Final Answer

\[ \begin{array}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{\text{Some electron subshells}} \\ \hline \text{subshell} & \begin{array}{c} \text{principal quantum} \\ \text{number } n \end{array} & \begin{array}{c} \text{angular momentum} \\ \text{quantum number } l \end{array} & \begin{array}{c} \text{maximum number of} \\ \text{electrons} \end{array} \\ \hline 5p & \boxed{5} & \boxed{1} & \boxed{6} \\ \hline 2s & \boxed{2} & \boxed{0} & \boxed{2} \\ \hline 4f & \boxed{4} & \boxed{3} & \boxed{14} \\ \hline \end{array} \]

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