Verified Answer :

Avogadro's number
represents the number of units in one mole of any substance. This has the value
of 6.022 x 10^23 units / mole. This number can be used to convert the number of
atoms or molecules into number of moles.

 
 4.75×10^24 gold atoms ( 1 mol / 6.022x10^23 atoms ) = 7.888 mol gold

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Answer:

There are 7.8877 moles of gold.

Explanation:

Let the moles of gold be x

Number of gold atoms = \(4.75\times 10^{24}\)

Number of atoms In 1 mole = \(N_A=6.022\times 10^{23}\)

Then number of atoms in x moles of gold :

\(x\times 6.022\times 10^{23}=4.75\times 10^{24}\)

x = \(\frac{4.75\times 10^{24}}{6.022\times 10^{23}}=7.8877 mol\)

There are 7.8877 moles of gold.