To determine the number of hydrogen atoms in 1 mole of water (H₂O), we can follow these steps:
1. Understand the composition of one water molecule:
Each molecule of water (H₂O) consists of 2 hydrogen atoms and 1 oxygen atom.
2. Avogadro's number:
Avogadro's number is a fundamental constant that indicates the number of atoms or molecules in one mole of any substance. Avogadro's number is approximately [tex]\( 6.02214076 \times 10^{23} \)[/tex].
3. Determine the number of water molecules in 1 mole:
By definition, 1 mole of water contains [tex]\( 6.02214076 \times 10^{23} \)[/tex] water molecules.
4. Calculate the number of hydrogen atoms in these molecules:
Since each water molecule has 2 hydrogen atoms, the total number of hydrogen atoms in 1 mole of water can be found by multiplying the number of water molecules by the number of hydrogen atoms per molecule.
Therefore,
[tex]\[
\text{Number of hydrogen atoms} = \text{Number of water molecules} \times \text{Number of hydrogen atoms per molecule}
\][/tex]
Substituting the values, we have:
[tex]\[
\text{Number of hydrogen atoms} = 6.02214076 \times 10^{23} \times 2
\][/tex]
5. Final result:
Performing the multiplication,
[tex]\[
\text{Number of hydrogen atoms} \approx 1.204428152 \times 10^{24}
\][/tex]
Hence, there are approximately [tex]\( 1.204428152 \times 10^{24} \)[/tex] hydrogen atoms in 1 mole of water.
