To determine the mass of 3.64 × 10^30 atoms of magnesium, you need to know the atomic mass of magnesium. The atomic mass of magnesium is approximately 24.305 amu.
To calculate the mass, you can use the following steps:
Determine the number of moles of magnesium atoms: Number of moles = Number of atoms / Avogadro's number Number of moles = (3.64 × 10^30) / (6.022 × 10^23 mol^−1)
Calculate the mass using the molar mass of magnesium: Mass = Number of moles × Molar mass Mass = Number of moles × Atomic mass of magnesium
Substituting the values, we get: Mass = (3.64 × 10^30) / (6.022 × 10^23) × 24.305 amu
Now, let's calculate the mass:
Mass = (3.64 × 10^30) / (6.022 × 10^23) × 24.305 amu = 3.6333 × 10^7 amu
Therefore, the mass of 3.64 × 10^30 atoms of magnesium is approximately 3.6333 × 10^7 amu.