To calculate the number of atoms in 0.25 moles of [tex]\(O_2\)[/tex] gas, follow these steps:
1. Understand the Given Information:
- The amount of [tex]\(O_2\)[/tex] gas is 0.25 moles.
- Avogadro's number, which is [tex]\(6.022 \times 10^{23}\)[/tex] molecules per mole, represents the number of molecules in one mole of any substance.
2. Calculate the Number of Molecules of [tex]\(O_2\)[/tex]:
- Each mole of [tex]\(O_2\)[/tex] contains [tex]\(6.022 \times 10^{23}\)[/tex] molecules.
- Therefore, to find the number of molecules in 0.25 moles of [tex]\(O_2\)[/tex], multiply the moles by Avogadro's number:
[tex]\[
\text{Number of molecules} = 0.25 \, \text{moles} \times 6.022 \times 10^{23} \, \text{molecules/mole}
\][/tex]
[tex]\[
\text{Number of molecules} = 1.5055 \times 10^{23} \, \text{molecules}
\][/tex]
3. Calculate the Number of Atoms in [tex]\(O_2\)[/tex]:
- Each molecule of [tex]\(O_2\)[/tex] consists of 2 oxygen atoms.
- To find the number of atoms, multiply the number of molecules by 2:
[tex]\[
\text{Number of atoms} = 1.5055 \times 10^{23} \, \text{molecules} \times 2 \, \text{atoms/molecule}
\][/tex]
[tex]\[
\text{Number of atoms} = 3.011 \times 10^{23} \, \text{atoms}
\][/tex]
So, the number of molecules in 0.25 moles of [tex]\(O_2\)[/tex] gas is [tex]\(1.5055 \times 10^{23}\)[/tex], and the number of atoms is [tex]\(3.011 \times 10^{23}\)[/tex].
