To determine the number of atoms in a given mass of an element, you can use Avogadro's constant and the molar mass of the element.
The molar mass of carbon (C) is approximately 12.01 grams per mole (g/mol). Avogadro's constant is approximately 6.022 × 10^23 atoms per mole.
To calculate the number of atoms in 1 gram of carbon, you can follow these steps:
Convert the mass of carbon to moles by dividing it by the molar mass: Number of moles = Mass of carbon / Molar mass of carbon Number of moles = 1 g / 12.01 g/mol ≈ 0.08324 mol
Multiply the number of moles by Avogadro's constant to get the number of atoms: Number of atoms = Number of moles × Avogadro's constant Number of atoms = 0.08324 mol × 6.022 × 10^23 atoms/mol Number of atoms ≈ 5.0 × 10^22 atoms
Therefore, there are approximately 5.0 × 10^22 atoms in 1 gram of carbon.