To find the minimum molecular weight of the compound containing 8% sulfur, we start by using the percentage composition formula:
\text{Percentage of Sulfur} = \frac{\text{Atomic weight of S} \times \text{Number of S atoms}}{\text{Molecular weight}} \times 100
Given that the percentage of sulfur is 8%, and the atomic weight of sulfur is 32 amu, we set up the equation:
8 = \frac{32 \times 1}{\text{Molecular weight}} \times 100
Simplifying the equation:
\frac{32}{\text{Molecular weight}} \times 100 = 8
Rearranging to solve for the molecular weight:
\text{Molecular weight} = \frac{32 \times 100}{8}
Calculating the molecular weight:
\text{Molecular weight} = 400\, \text{g mol}^{-1}
Thus, the minimum molecular weight of the compound that contains 8% sulfur is 400\, \text{g mol}^{-1}.
Therefore, the correct answer is {400\, g \, mol^{-1}}.