Final answer:
To determine the number of moles of atoms in 9.00 g of 13C, you divide the mass of the sample by its molar mass, which gives you approximately 0.692 moles of 13C atoms.
Step-by-step explanation:
To calculate the number of moles of atoms in 9.00 g of 13C, you utilize the concept that a mole represents a specific number of particles, typically atoms or molecules. By definition, one mole of carbon-12 (12C) has a mass of exactly 12 g and consists of 6.022 × 1023 atoms. Although you're dealing with carbon-13 (13C), we can use similar reasoning. The mass of one mole of 13C is slightly greater than 12C due to the extra neutron, and it's approximately 13 g/mol (reflecting its atomic mass).
To find out how many moles are in 9.00 g of 13C, you'd perform the following calculation:
Number of moles = mass of sample (in grams) / molar mass (in g/mol)
For 9.00 g of 13C: Number of moles = 9.00 g / 13 g/mol
This gives you approximately 0.692 moles of 13C atoms.