Answer: there are approximately 3.00 x 10^23 atoms in 6.00 g of carbon-12.
Step-by-step explanation:
To calculate the number of atoms in 6.00 g of carbon-12, we can use the following steps:
Determine the molar mass of carbon-12. The molar mass of carbon-12 is equal to the atomic mass of carbon-12 in grams per mole. The atomic mass of carbon-12 is approximately 12.01 g/mol.
Use the molar mass to convert the mass of carbon-12 given in the problem to moles. We can use the following formula:
moles = mass / molar mass
Substituting the values given in the problem, we get:
moles of carbon-12 = 6.00 g / 12.01 g/mol = 0.499 mol
Use Avogadro's number to convert the number of moles to the number of atoms. Avogadro's number is equal to 6.022 x 10^23 atoms per mole. We can use the following formula:
number of atoms = moles x Avogadro's number
Substituting the values calculated in the previous steps, we get:
number of atoms = 0.499 mol x 6.022 x 10^23 atoms/mol ≈ 3.00 x 10^23 atoms
Therefore, there are approximately 3.00 x 10^23 atoms in 6.00 g of carbon-12.