Final answer:
The number of moles of Carbon in 1 × 10^{-6} g of Carbon is calculated by dividing the mass of the carbon sample by the molar mass of Carbon-12 (12.0 g/mol), resulting in 8.333 × 10^{-8} moles.
Step-by-step explanation:
To determine the number of moles of Carbon in 1 × 10-6 g of Carbon, we utilize the concept of molar mass. The periodic table lists the atomic mass of carbon as approximately 12.01 g/mol but for practical calculations, we often use the mass of the most common isotope, Carbon-12, which has a molar mass of 12.0 g/mol. The molar mass is the mass of 6.022 × 1023 carbon atoms (Avogadro's number).
To calculate the moles of carbon, we apply the following formula:
Number of moles = Mass of the sample (g) / Molar mass (g/mol)
For 1 × 10-6 g of Carbon:
Number of moles = (1 × 10-6 g) / (12.0 g/mol)
Number of moles of Carbon = 8.333 × 10-8 moles