To determine the number of potassium ([tex]$K$[/tex]) atoms in one mole of potassium carbonate ([tex]$K_2CO_3$[/tex]), follow these steps:
1. Understand the Molecule Composition:
- The formula for potassium carbonate is [tex]$K_2CO_3$[/tex], which indicates that each molecule contains 2 potassium ([tex]$K$[/tex]) atoms.
2. Determine the Number of Moles of Potassium Atoms:
- For every mole of [tex]$K_2CO_3$[/tex], there are 2 moles of [tex]$K$[/tex] atoms.
3. Use Avogadro's Number:
- Avogadro's number is [tex]\(6.02 \times 10^{23}\)[/tex] atoms per mole. This is the number of atoms in one mole of any substance.
4. Calculate the Total Number of Potassium Atoms:
- To find the total number of [tex]$K$[/tex] atoms in one mole of [tex]$K_2CO_3$[/tex], multiply the number of moles of [tex]$K$[/tex] atoms (which is 2) by Avogadro's number.
[tex]\[
\text{Number of } K \text{ atoms} = 2 \times 6.02 \times 10^{23}
\][/tex]
[tex]\[
\text{Number of } K \text{ atoms} = 1.20 \times 10^{24}
\][/tex]
Therefore, the number of potassium atoms in one mole of [tex]$K_2CO_3$[/tex] is [tex]\(\mathbf{1.20 \times 10^{24}}\)[/tex] atoms.
### Answer:
A. [tex]\(1.20 \times 10^{24}\)[/tex] atoms
