Answer :
Final answer:
To calculate the number of atoms of gold in 5.00 g of gold, we first determine the number of moles of gold in 5 g. Then, we multiply this mole quantity by Avogadro's number. The result is approximately 1.53 x 10^22 atoms.
Explanation:
The number of atoms of gold in 5.00 g of gold can be calculated using Avogadro's number and the atomic weight of gold. Avogadro's number (6.022 x 1023) is the number of atoms in one mole of any substance. The atomic weight of gold is approximately 197.0 g/mol.
First, calculate the number of moles of gold in 5.00 g by dividing the mass of gold by its atomic weight: 5.00 g / 197.0 g/mol = 0.0254 mol.
Next, multiply this mole quantity by Avogadro's number to find the number of gold atoms: 0.0254 mol * 6.022 x 1023 atoms/mol = 1.53 x 1022 atoms.
So, there are approximately 1.53 x 1022 atoms of gold in 5 g of gold.
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