The molar mass of a substance tells us the mass of one mole of that substance. In the case of 226Ra (radium-226), its molar mass is approximately 226 grams per mole.
To determine the number of atoms in 1 gram of 226Ra, we can use Avogadro's number, which is approximately 6.022 × 10^23 atoms per mole.
First, we need to find the number of moles in 1 gram of 226Ra:
Number of moles = Mass / Molar mass
Number of moles = 1 gram / 226 grams per mole
Number of moles ≈ 0.004424 moles
Next, we can calculate the number of atoms using Avogadro's number:
Number of atoms = Number of moles × Avogadro's number
Number of atoms ≈ 0.004424 moles × 6.022 × 10^23 atoms per mole
Number of atoms ≈ 2.66 × 10^21 atoms
Therefore, there are approximately 2.66 × 10^21 atoms in 1 gram of 226Ra.