Let's complete the table step by step using the periodic table and the details given:
1. Row 1:
- Number of Protons: [tex]\( A \)[/tex]
- Number of Neutrons: 7
- Atomic Number: [tex]\( B \)[/tex]
- Mass Number: 15
- Element (symbol): [tex]\( C \)[/tex]
2. Row 2:
- Number of Protons: [tex]\( D \)[/tex]
- Number of Neutrons: [tex]\( E \)[/tex]
- Atomic Number: 26
- Mass Number: 56
- Element (symbol): [tex]\( F \)[/tex]
Step-by-step Completion:
### Row 1 Analysis:
- The mass number (sum of protons and neutrons) is 15.
- Number of neutrons is 8. Number of protons can be found by subtracting neutrons from the mass number:
[tex]\[
\text{Number of Protons} = 15 - 7 = 8
\][/tex]
- Therefore, [tex]\( B = 8 \)[/tex] and [tex]\( A = 8 \)[/tex].
- The element with atomic number 8 is Oxygen, symbolized as [tex]\( O \)[/tex].
### Row 2 Analysis:
- The element with atomic number 26 is Iron, symbolized as [tex]\( Fe \)[/tex].
- The mass number is the sum of the number of protons and neutrons:
[tex]\[
56 = \text{Number of Protons} + \text{Number of Neutrons}
\][/tex]
- The atomic number (number of protons) is 26:
[tex]\[
\text{Number of Neutrons} = 56 - 26 = 30
\][/tex]
- Therefore, [tex]\( D = 26 \)[/tex] and [tex]\( E = 30 \)[/tex].
### Summary:
Combining all the calculated and given information:
1. [tex]\( A = 8 \)[/tex]
2. [tex]\( B = 8 \)[/tex]
3. [tex]\( c = \text{N} \)[/tex] (which indicates Nitrogen with atomic number 7 and mass number 15)
4. [tex]\( D = 26 \)[/tex]
5. [tex]\( E = 30 \)[/tex]
6. [tex]\( f = \text{Fe} \)[/tex] (which is Iron with atomic number 26)
Let's fill in the provided table:
[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline \begin{tabular}{c}
Number of \\
Protons
\end{tabular} & \begin{tabular}{c}
Number of \\
Neutrons
\end{tabular} & \begin{tabular}{c}
Atomic \\
Number
\end{tabular} & \begin{tabular}{c}
Mass \\
Number
\end{tabular} & \begin{tabular}{c}
Element \\
(symbol)
\end{tabular} \\
\hline 8 & 8 & 8 & 15 & O \\
\hline 26 & 30 & 26 & 56 & Fe \\
\hline
\end{tabular}
\][/tex]
So, the final answers to fill in are:
- A: 8
- B: 8
- c: N
- D: 26
- E: 30
