Questions: Complete the table by inputting in the n value, l value, and number of orbitals for each given sublevel. sublevel n value l value number of orbitals ------------ 6 d 5 s 2 s

Complete the table by inputting in the n value, l value, and number of orbitals for each given sublevel.

sublevel n value l value number of orbitals
------------
6 d
5 s
2 s

Transcript text: Complete the table by inputting in the $n$ value, $l$ value, and number of orbitals for each given sublevel. \begin{tabular}{|c|c|c|c|} \hline sublevel & $n$ value & $l$ value & number of orbitals \\ \hline $6 d$ & $\square$ & $\square$ & $\square$ \\ \hline $5 s$ & $\square$ & $\square$ & $\square$ \\ \hline $2 s$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

Solution

Solution Steps

Step 1: Determine the $n$ value for each sublevel

The principal quantum number $ n $ is the first number in the sublevel notation.

For $ 6d $, $ n = 6 $
For $ 5s $, $ n = 5 $
For $ 2s $, $ n = 2 $

Step 2: Determine the $l$ value for each sublevel

The azimuthal quantum number $ l $ is determined by the letter in the sublevel notation:

$ s $ corresponds to $ l = 0 $
$ p $ corresponds to $ l = 1 $
$ d $ corresponds to $ l = 2 $
$ f $ corresponds to $ l = 3 $
For $ 6d $, $ l = 2 $
For $ 5s $, $ l = 0 $
For $ 2s $, $ l = 0 $

Step 3: Determine the number of orbitals for each sublevel

The number of orbitals in a sublevel is given by $ 2l + 1 $.

For $ 6d $, $ l = 2 $, so the number of orbitals is $ 2(2) + 1 = 5 $
For $ 5s $, $ l = 0 $, so the number of orbitals is $ 2(0) + 1 = 1 $
For $ 2s $, $ l = 0 $, so the number of orbitals is $ 2(0) + 1 = 1 $

Final Answer

\[ \begin{array}{|c|c|c|c|} \hline \text{sublevel} & n \text{ value} & l \text{ value} & \text{number of orbitals} \\ \hline 6d & \boxed{6} & \boxed{2} & \boxed{5} \\ \hline 5s & \boxed{5} & \boxed{0} & \boxed{1} \\ \hline 2s & \boxed{2} & \boxed{0} & \boxed{1} \\ \hline \end{array} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!