Answer :
Let's complete the table step by step using the information provided and referring to the periodic table for any necessary additional data. We are given the following information:
### First Row:
- Number of Protons: 20
- Number of Neutrons: 20
- Atomic Number (A): ?
- Mass Number (B): ?
- Element Symbol (C): ?
1. The Atomic Number (A) corresponds to the number of protons, so [tex]\( A = 20 \)[/tex].
2. The Mass Number (B) is the sum of the number of protons and neutrons. Thus, [tex]\( B = 20 + 20 = 40 \)[/tex].
3. Using the Atomic Number (20), we can identify the element using the periodic table. Element number 20 is Calcium ([tex]\( \text{Ca} \)[/tex]). Therefore, the symbol (C) is [tex]\( \text{Ca} \)[/tex].
So, the first row completed is:
- Atomic Number (A): 20
- Mass Number (B): 40
- Element Symbol (C): [tex]\( \text{Ca} \)[/tex]
### Second Row:
- Number of Protons: 9
- Number of Neutrons: ?
- Atomic Number (E): ?
- Mass Number: 19
- Element Symbol (F): ?
1. The Atomic Number (E) corresponds to the number of protons, so [tex]\( E = 9 \)[/tex].
2. To find the number of neutrons (D), we use the Mass Number (19). The Mass Number is the sum of protons and neutrons, so:
[tex]\[ 19 = 9 + D \implies D = 19 - 9 = 10 \][/tex]
3. Using the Atomic Number (9), we can identify the element using the periodic table. Element number 9 is Fluorine ([tex]\( \text{F} \)[/tex]). Therefore, the symbol (F) is [tex]\( \text{F} \)[/tex].
So, the second row completed is:
- Number of Neutrons (D): [tex]\( 10 \)[/tex]
- Atomic Number (E): [tex]\( 9 \)[/tex]
- Element Symbol (F): [tex]\( \text{F} \)[/tex]
Let's summarize the completed table:
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} Number of \\ Protons \end{tabular} & \begin{tabular}{c} Number of \\ Neutrons \end{tabular} & \begin{tabular}{c} Atomic \\ Number \end{tabular} & \begin{tabular}{c} Mass \\ Number \end{tabular} & \begin{tabular}{c} Element \\ (symbol) \end{tabular} \\ \hline 20 & 20 & 20 & 40 & \( \text{Ca} \) \\ \hline 9 & 10 & 9 & 19 & \( \text{F} \) \\ \hline \end{tabular} \][/tex]
### First Row:
- Number of Protons: 20
- Number of Neutrons: 20
- Atomic Number (A): ?
- Mass Number (B): ?
- Element Symbol (C): ?
1. The Atomic Number (A) corresponds to the number of protons, so [tex]\( A = 20 \)[/tex].
2. The Mass Number (B) is the sum of the number of protons and neutrons. Thus, [tex]\( B = 20 + 20 = 40 \)[/tex].
3. Using the Atomic Number (20), we can identify the element using the periodic table. Element number 20 is Calcium ([tex]\( \text{Ca} \)[/tex]). Therefore, the symbol (C) is [tex]\( \text{Ca} \)[/tex].
So, the first row completed is:
- Atomic Number (A): 20
- Mass Number (B): 40
- Element Symbol (C): [tex]\( \text{Ca} \)[/tex]
### Second Row:
- Number of Protons: 9
- Number of Neutrons: ?
- Atomic Number (E): ?
- Mass Number: 19
- Element Symbol (F): ?
1. The Atomic Number (E) corresponds to the number of protons, so [tex]\( E = 9 \)[/tex].
2. To find the number of neutrons (D), we use the Mass Number (19). The Mass Number is the sum of protons and neutrons, so:
[tex]\[ 19 = 9 + D \implies D = 19 - 9 = 10 \][/tex]
3. Using the Atomic Number (9), we can identify the element using the periodic table. Element number 9 is Fluorine ([tex]\( \text{F} \)[/tex]). Therefore, the symbol (F) is [tex]\( \text{F} \)[/tex].
So, the second row completed is:
- Number of Neutrons (D): [tex]\( 10 \)[/tex]
- Atomic Number (E): [tex]\( 9 \)[/tex]
- Element Symbol (F): [tex]\( \text{F} \)[/tex]
Let's summarize the completed table:
[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline \begin{tabular}{c} Number of \\ Protons \end{tabular} & \begin{tabular}{c} Number of \\ Neutrons \end{tabular} & \begin{tabular}{c} Atomic \\ Number \end{tabular} & \begin{tabular}{c} Mass \\ Number \end{tabular} & \begin{tabular}{c} Element \\ (symbol) \end{tabular} \\ \hline 20 & 20 & 20 & 40 & \( \text{Ca} \) \\ \hline 9 & 10 & 9 & 19 & \( \text{F} \) \\ \hline \end{tabular} \][/tex]
