To fill out the table with the missing values, we need to carefully assign the correct atomic numbers, mass numbers, number of protons, and number of neutrons as given in the solution for each isotope. Let's go through it step-by-step.
1. Isotope [tex]${}_{16}^{33}S$[/tex]:
- Atomic Number: 16
- Mass Number: 33
- Number of Protons: 16
- Number of Neutrons: 33 - 16 = 17
2. Isotope [tex]${}_{16}^{32}S$[/tex]:
- Atomic Number: 16
- Mass Number: 32
- Number of Protons: 16
- Number of Neutrons: 32 - 16 = 16
3. Isotope with Atomic Number 20 (which corresponds to Calcium, Ca):
- Symbol: [tex]$(20, 46)$[/tex]
- Atomic Number: 20
- Mass Number: 46
- Number of Protons: 20
- Number of Neutrons: 46 - 20 = 26
4. Isotope with Number of Protons 8 (which corresponds to Oxygen, O):
- Symbol: [tex]$(8, 17)$[/tex]
- Atomic Number: 8
- Mass Number: 17
- Number of Protons: 8
- Number of Neutrons: 17 - 8 = 9
5. Isotope with Mass Number 204 (which corresponds to Lead, Pb):
- Symbol: [tex]$(82, 204)$[/tex]
- Atomic Number: 82
- Mass Number: 204
- Number of Protons: 82
- Number of Neutrons: 204 - 82 = 122
6. Isotope with Mass Number 131 (which corresponds to Xenon, Xe):
- Symbol: [tex]$(54, 131)$[/tex]
- Atomic Number: 54
- Mass Number: 131
- Number of Protons: 54
- Number of Neutrons: 131 - 54 = 77
Using the information we collected, we can fill in the original table as follows:
[tex]\[
\begin{array}{|l|c|c|c|c|c|c|}
\hline
\text { Isotope Symbol } & {}_{16}^{33}S & {}_{16}^{32}S & {}_{20}^{46}\text{Ca} & {}_{8}^{17}\text{O} & {}_{82}^{204}\text{Pb} & {}_{54}^{131}\text{Xe} \\
\hline
\text { Atomic Number } & 16 & 16 & 20 & 8 & 82 & 54 \\
\hline
\text { Mass Number } & 33 & 32 & 46 & 17 & 204 & 131 \\
\hline
\text { Number of Protons } & 16 & 16 & 20 & 8 & 82 & 54 \\
\hline
\text { Number of Neutrons } & 17 & 16 & 26 & 9 & 122 & 77 \\
\hline
\end{array}
\][/tex]
This table now includes all the missing values correctly filled in for each isotope.
