Answer:
You use the fact that 1 mole of any substance contains exactly 6.022⋅1023 atoms or molecules of that substance - this is known as Avogadro's number. In your case, 1 mole of gold will have exactly 6.022⋅1023 atoms of gold.
So it would be answer 3690 atoms or 3.60x1025
The number of atoms of gold in 591 g has been [tex]1.81\;\times\;10^2^4[/tex] atoms. Thus, option B is correct.
The number of atoms in a mole of sample has been given by the Avogadro's law. According to the law, one mole of a substance has been equivalent to [tex]6.023\;\times\;10^2^3[/tex] atoms.
The mole of sample has been given as the mass of sample with respect to the molar mass. Moles have been expressed as:
[tex]\rm Moles=\dfrac{Mass}{Molar\;mass}[/tex]
The mass of gold has been 591 g
The molar mass of gold has been 197 g.
Substituting the values for moles of gold:
[tex]\rm Moles=\dfrac{591 }{197 } \\Moles=3\;moles[/tex]
The available moles of sample has been 3 moles.
The number of atoms has been given by:
[tex]\rm 1\;moles=6.023\;\times\;10^2^3\;atoms\\3\;moles=6.023\;\times\;10^2^3\;\times\;3\;atoms\\3\;moles=18.1\;\times\;10^2^3\;atoms\\3\;moles=1.81\;\times\;10^2^4\;atoms[/tex]
The number of atoms of gold in 591 g has been [tex]1.81\;\times\;10^2^4[/tex] atoms. Thus, option B is correct.
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