Question

I DON'T UNDERSTAND THIS QUESTION PLEASE HELPPPP
If 8.62 x 1022 atoms of Au are present, how many moles, grams, oz of Au
does this represent? How much is that worth in U.S. dollars? How much in
Bitcoin is that equal to if, 1 Bitcoin is $7,750.

Answer 1

Given:

Number of atoms of Gold (Au) = 8.62×10²²atoms

As, n = N÷Nₐ and, n = m÷M.M.

Where, Nₐ=6.022×10²³units/mol

$⇒n = \frac{8.62 \times 10 ^{22} }{6.022 \times {10}^{23} } = 0.143142 \: mol$

⇒n=0.143 mol

As, Molar mass of Gold (¹⁹⁷₇₉Au) is 197g/mol.

⇒mass of 8.62×10²² atoms or 0.143 mol of gold is 28.2 grams

.

Now, as price of Gold (in $) is $54.51 / gram [ AS PER TODAY ]

⇒Price of 28.2g (8.62×10²² atoms) of Gold is $1537.18

As, 1 bitcoin = $7,750

⇒Price of given number of atoms of Gold is approximately 0.19834 bitcoins.