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
Explanation:
Well, what is the molar mass of gold metal?
My (and your!) Periodic Table tells me that it has a molar mass of 196.97∙g∙mol−1.
And so (i) we determine the molar quantity of gold, i.e.
Moles of gold≡1000∙g196.97∙g∙mol−1≡5.077∙mol.
And (ii), since we KNOW that 1∙mol represents 6.02214076×1023 individual items…we take the product….
5.077∙mol×6.02214076×1023∙mol−1≡3.057×1024∙individual gold atoms.
Given that gold is worth $48–30 USD∙g−1 how much is this mass worth? And what is the price for an ATOM of gold?