To calculate the mass of silver present in the given sample, we need to use Avogadro's number and the molar mass of silver.
Avogadro's number (NA) is approximately 6.022 × 10^23, which represents the number of atoms or molecules in one mole of a substance.
The molar mass of silver (Ag) is 107.87 g/mol.
First, let's determine the number of moles of silver in the sample by dividing the given number of atoms by Avogadro's number:
Number of moles of silver = (2.79 × 10^23 atoms) / (6.022 × 10^23 atoms/mol)
Number of moles of silver ≈ 0.463 moles
Next, we can calculate the mass of silver by multiplying the number of moles by the molar mass:
Mass of silver = (0.463 moles) × (107.87 g/mol)
Mass of silver ≈ 49.96 grams
Therefore, the mass of silver present in the given sample is approximately 49.96 grams.