Question

5. How many atoms are in a 591 g sample of gold?
3.60 x 1025 atoms
O
1.81 x 1024 atoms
116,000 atoms
o
3.00 atoms

Answer 1

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

Answer 2

The number of atoms of gold in 591 g has been $1.81\;\times\;10^2^4$ 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 $6.023\;\times\;10^2^3$ atoms.

The mole of sample has been given as the mass of sample with respect to the molar mass. Moles have been expressed as:

$\rm Moles=\dfrac{Mass}{Molar\;mass}$

Number of atoms in a sample

The mass of gold has been 591 g

The molar mass of gold has been 197 g.

Substituting the values for moles of gold:

$\rm Moles=\dfrac{591 }{197 } \\Moles=3\;moles$

The available moles of sample has been 3 moles.

The number of atoms has been given by:

$\rm 1\;moles=6.023\;\times\;10^2^3\;atoms\\3\;moles=6.023\;\times\;10^2^3\;\times\;3\;atoms\\3\;moles=18.1\;\times\;10^2^3\;atoms\\3\;moles=1.81\;\times\;10^2^4\;atoms$

The number of atoms of gold in 591 g has been $1.81\;\times\;10^2^4$ atoms. Thus, option B is correct.

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