How many moles of sulfur atoms are present in 64 g of S_8?

• A. 32 moles
• B. 2 moles
• C. 8 moles
• D. 24 moles

Answer: (D)

Verified step by step guidance

1. Identify the molecular formula of the substance given, which is \(S_8\), meaning each molecule contains 8 sulfur atoms.
2. Calculate the molar mass of \(S_8\) by multiplying the atomic mass of sulfur (approximately 32 g/mol) by 8: \(Molar\ mass = 8 \times 32\ \text{g/mol}\).
3. Determine the number of moles of \(S_8\) molecules in 64 g by dividing the given mass by the molar mass of \(S_8\): \(n_{S_8} = \frac{64\ \text{g}}{Molar\ mass}\).
4. Since each mole of \(S_8\) contains 8 moles of sulfur atoms, multiply the moles of \(S_8\) by 8 to find the moles of sulfur atoms: \(n_S = n_{S_8} \times 8\).
5. This final value, \(n_S\), represents the total moles of sulfur atoms present in 64 g of \(S_8\).