To determine the number of oxygen atoms in a 10.0 gram sample, follow these steps:
Step 1: Determine the molar mass of oxygen
- The atomic mass of oxygen (O) is 16.0 grams per mole (g/mol).
Step 2: Calculate the number of moles of oxygen in the sample
- Given the sample mass is 10.0 grams, we can use the formula:
[tex]\[ \text{Number of moles} = \frac{\text{Mass of sample}}{\text{Molar mass}} \][/tex]
- Plugging in the values:
[tex]\[ \text{Number of moles of oxygen} = \frac{10.0 \, \text{g}}{16.0 \, \text{g/mol}} = 0.625 \, \text{moles} \][/tex]
Step 3: Calculate the number of oxygen atoms
- Using Avogadro’s number, [tex]\(6.022 \times 10^{23}\)[/tex] atoms per mole, we calculate the total number of atoms in the sample using the formula:
[tex]\[ \text{Number of atoms} = \text{Number of moles} \times \text{Avogadro's number} \][/tex]
- Substituting the values:
[tex]\[ \text{Number of oxygen atoms} = 0.625 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} \][/tex]
[tex]\[ \text{Number of oxygen atoms} = 3.76375 \times 10^{23} \, \text{atoms} \][/tex]
Thus, in a 10.0 gram sample of oxygen, there are [tex]\(3.76375 \times 10^{23}\)[/tex] oxygen atoms.
