To find the number of atoms for each element in the compound [tex]\(Na_2CO_3\)[/tex], we will carefully analyze the chemical formula. The formula indicates the number of each type of atom in a single molecule of the compound.
Let's break down the formula [tex]\(Na_2CO_3\)[/tex]:
1. Element: Na
- The subscript "2" next to "Na" indicates that there are 2 atoms of sodium (Na) in the compound.
[tex]\[
\text{Element: Na} \quad \text{\# of Atoms: 2}
\][/tex]
2. Element: C
- The symbol "C" does not have a subscript next to it, which implies that there is 1 atom of carbon (C) in the compound.
[tex]\[
\text{Element: C} \quad \text{\# of Atoms: 1}
\][/tex]
3. Element: O
- The subscript "3" next to "O" indicates that there are 3 atoms of oxygen (O) in the compound.
[tex]\[
\text{Element: O} \quad \text{\# of Atoms: 3}
\][/tex]
The number of each type of atom is, respectively:
- Sodium (Na): 2 atoms
- Carbon (C): 1 atom
- Oxygen (O): 3 atoms
Next, we calculate the gram formula weight of [tex]\(Na_2CO_3\)[/tex]. To do this, we use the atomic weights of each element:
- Sodium (Na): approximately 22.99 g/mol
- Carbon (C): approximately 12.01 g/mol
- Oxygen (O): approximately 16.00 g/mol
The formula weight can be calculated by summing the products of the number of each type of atom and their respective atomic weights:
[tex]\[
\text{Gram formula weight} = (2 \times 22.99) + (1 \times 12.01) + (3 \times 16.00)
\][/tex]
[tex]\[
\text{Gram formula weight} = 45.98 + 12.01 + 48.00 = 105.99 \text{ g/mol}
\][/tex]
Thus, the gram formula weight of [tex]\(Na_2CO_3\)[/tex] is 105.99 g/mol.
Summarizing the details:
[tex]\[
\text{Compound Formula: } Na_2CO_3
\][/tex]
[tex]\[
\text{Element: Na \# of Atoms: 2}
\][/tex]
[tex]\[
\text{Element: C \# of Atoms: 1}
\][/tex]
[tex]\[
\text{Element: O \# of Atoms: 3}
\][/tex]
[tex]\[
\text{Gram formula weight (g): 105.99}
\][/tex]
