To find out how many silver atoms are in a 100 gram pure silver bar, we first need to know the molar mass of silver. Silver (Ag) has a molar mass of approximately 107.87 grams per mole. Next, we can determine the number of moles of silver in the bar using the formula:
Number of moles = Mass (grams) / Molar mass (grams per mole)
Plugging in the values:
Number of moles = 100 g / 107.87 g/mol ≈ 0.927 moles
Now, we need to convert moles to atoms. One mole of any substance contains Avogadro’s number of entities, which is about 6.022 x 10²³ entities per mole. Therefore, the number of silver atoms can be calculated as follows:
Number of atoms = Number of moles x Avogadro’s number
Substituting the values we calculated:
Number of atoms ≈ 0.927 moles x 6.022 x 10²³ atoms/mole ≈ 5.58 x 10²³ atoms
So, a 100 gram pure silver bar contains approximately 5.58 x 10²³ silver atoms.