Sure, let's complete the chart step-by-step:
1. Isotope [tex]$\frac{31}{15}$[/tex]:
- Protons: The atomic number (bottom number) indicates the number of protons. Hence, this isotope has 15 protons.
- Neutrons: The mass number (top number) minus the atomic number gives the number of neutrons. Therefore, [tex]\(31 - 15 = 16\)[/tex] neutrons.
- Electrons: For a neutral atom, the number of electrons equals the number of protons. Hence, there are 15 electrons.
Filling in the chart for the first isotope:
| Srmbol | Protons | Neutrons | Electrons |
|----------------|---------|----------|-----------|
| [tex]$\frac{31}{15}$[/tex]| 15 | 16 | 15 |
2. Unknown Element with 9 Protons and 10 Neutrons:
- Mass Number: The sum of the protons and neutrons gives the mass number. Therefore, [tex]\(9 + 10 = 19\)[/tex].
- Electrons: For a neutral atom, the number of electrons equals the number of protons. Hence, there are 9 electrons.
Filling in the chart for this element:
| Protons | Neutrons | Electrons |
|---------|----------|-----------|
| 9 | 10 | 9 |
3. Isotope [tex]$\frac{24}{12} Mg$[/tex]:
- Protons: The atomic number (bottom number) indicates the number of protons. Hence, this isotope has 12 protons.
- Neutrons: The mass number (top number) minus the atomic number gives the number of neutrons. Therefore, [tex]\(24 - 12 = 12\)[/tex] neutrons.
- Electrons: For a neutral atom, the number of electrons equals the number of protons. Hence, there are 12 electrons.
Filling in the chart for the third isotope:
| Srmbol | Protons | Neutrons | Electrons |
|-----------------|---------|----------|-----------|
| [tex]$\frac{24}{12} Mg$[/tex] | 12 | 12 | 12 |
Bringing all the information together into the given chart, we get:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline
Symbol & Protons & Neutrons & Electrons \\
\hline
$\frac{31}{15}$ & 15 & 16 & 15 \\
\hline
& 9 & 10 & 9 \\
\hline
$\frac{24}{12} \mathrm{Mg}$ & 12 & 12 & 12 \\
\hline
\end{tabular}
\][/tex]
In this way, the chart is now complete.
