Question

How many moles of gold atoms do 4.75×1024 gold atoms constitute?

Answer 1

There are 7.8877 moles of gold.

Step-by-step explanation:

Let the moles of gold be x

Number of gold atoms =
`4.75* 10^(24)`

Number of atoms In 1 mole =
`N_A=6.022* 10^(23)`

Then number of atoms in x moles of gold :

`x* 6.022* 10^(23)=4.75* 10^(24)`

x =
`(4.75* 10^(24))/(6.022* 10^(23))=7.8877 mol`

There are 7.8877 moles of gold.

Answer 2

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

Hope this answers the question. Have a nice day.