Final answer:
To find the number of fluorine atoms in 15g of SF6, you convert the mass to moles using the molar mass of SF6 and then multiply by Avogadro's number and 6, resulting in approximately 3.70 × 10^24 atoms of fluorine.
Step-by-step explanation:
To calculate the number of atoms of fluorine in 15 g of SF6 (sulfur hexafluoride), we first need to determine the molar mass of SF6. A sulfur atom has an atomic mass of approximately 32.07 u, and each fluorine atom has an atomic mass of approximately 19.00 u. Since there are 6 fluorine atoms in SF6, the molar mass of SF6 is:
32.07 u (sulfur) + 6 × 19.00 u (fluorine) = 146.07 u
Now, we use the molar mass to convert 15 g of SF6 to moles:
15 g ÷ 146.07 g/mol ≈ 0.1027 moles of SF6
Since each molecule of SF6 contains 6 atoms of fluorine, we multiply the number of moles of SF6 by Avogadro's number (6.022 × 1023 molecules/mol) and then by 6 to find the total number of fluorine atoms:
0.1027 moles × 6.022 × 1023 molecules/mol × 6 atoms/molecule ≈ 3.70 × 1024 atoms of fluorine