Determine the molar mass of carbon 13. The molar mass of carbon 13 is approximately 13.00335 grams per mole (g/mol). This value represents the mass of one mole of carbon 13 atoms.
Convert the given mass of carbon 13 to moles. To do this, divide the mass (9.00 grams) by the molar mass (13.00335 g/mol). This gives you the number of moles of carbon 13 in the sample:
9.00 grams / 13.00335 g/mol = 0.6923 moles of carbon 13
Use Avogadro's number to calculate the number of atoms. Avogadro's number represents the number of particles (atoms, molecules, or ions) in one mole of a substance. The value of Avogadro's number is approximately 6.022 x 10^23 particles per mole.
Multiply the number of moles of carbon 13 (0.6923 moles) by Avogadro's number (6.022 x 10^23 particles per mole) to obtain the number of atoms in 9 grams of carbon 13:
0.6923 moles x 6.022 x 10^23 particles per mole = 4.167 x 10^23 atoms
Therefore, there are approximately 4.167 x 10^23 atoms in 9 grams of carbon 13.
