To determine the number of nitrogen (N) and hydrogen (H) atoms in one molecule of [tex]\(\left( NH_4 \right)_2 SO_4\)[/tex], follow these steps:
1. Identify the components of the molecule:
The chemical formula [tex]\(\left( NH_4 \right)_2 SO_4\)[/tex] represents a compound known as ammonium sulfate. This formula indicates that the compound contains:
- Ammonium groups: [tex]\(\left( NH_4 \right)\)[/tex] and there are 2 of these groups
- Sulfur atom: [tex]\(S\)[/tex] and there is 1 atom
- Oxygen atoms: [tex]\(O\)[/tex] and there are 4 atoms
2. Calculate the number of nitrogen (N) atoms:
Each ammonium group [tex]\(\left( NH_4 \right)\)[/tex] contains 1 nitrogen atom. Since there are 2 ammonium groups in the molecule:
[tex]\[
\text{Number of nitrogen atoms} = 2 \times 1 = 2
\][/tex]
3. Calculate the number of hydrogen (H) atoms:
Each ammonium group [tex]\(\left( NH_4 \right)\)[/tex] contains 4 hydrogen atoms. Since there are 2 ammonium groups in the molecule:
[tex]\[
\text{Number of hydrogen atoms} = 2 \times 4 = 8
\][/tex]
Therefore, one molecule of [tex]\(\left( NH_4 \right)_2 SO_4\)[/tex] contains 2 nitrogen atoms and 8 hydrogen atoms.
