To determine the number of oxygen atoms in one mole of potassium carbonate ([tex]\( K_2CO_3 \)[/tex]), follow these steps:
1. Identify the chemical formula:
The chemical formula for potassium carbonate is [tex]\( K_2CO_3 \)[/tex].
2. Determine the number of oxygen atoms in one molecule:
In the formula [tex]\( K_2CO_3 \)[/tex], there are:
- 2 potassium (K) atoms
- 1 carbon (C) atom
- 3 oxygen (O) atoms
So, each molecule of potassium carbonate contains 3 oxygen atoms.
3. Use Avogadro's number:
Avogadro's number ([tex]\(6.022 \times 10^{23}\)[/tex]) tells us the number of molecules in one mole of any substance.
4. Calculate the total number of oxygen atoms in one mole:
Since there are 3 oxygen atoms in each molecule of [tex]\( K_2CO_3 \)[/tex] and we have one mole of [tex]\( K_2CO_3 \)[/tex], the total number of oxygen atoms is:
[tex]\[
3 \times (6.022 \times 10^{23}) = 1.8066 \times 10^{24}
\][/tex]
Therefore, there are [tex]\( 1.8066 \times 10^{24} \)[/tex] oxygen atoms in one mole of potassium carbonate ([tex]\( K_2CO_3 \)[/tex]).
