To calculate the mass in grams of a given number of atoms, you can use Avogadro's number, which is approximately 6.022 × 10^23 atoms/mol. Here's how you can calculate the mass:
Determine the molar mass of the element: The molar mass is the mass of one mole of the element and is given in grams/mol. You can find the molar mass of the element from the periodic table or other reliable sources.
Convert the molar mass to grams per atom: Divide the molar mass by Avogadro's number (6.022 × 10^23 atoms/mol). This will give you the mass of one atom in grams.
Multiply the mass of one atom by the number of atoms: Multiply the mass of one atom (in grams) by the number of atoms you have (10^23 atoms). This will give you the mass of the given number of atoms in grams.
Mathematically, the calculation can be expressed as:
Mass in grams = (Molar mass / Avogadro's number) * Number of atoms
where:
- Molar mass is the mass of one mole of the element (in grams/mol)
- Avogadro's number is approximately 6.022 × 10^23 atoms/mol
- Number of atoms is the given number of atoms
By plugging in the values, you can calculate the mass in grams of 10^23 atoms of the element.