Question

Using today's current price of gold - $1838.80 per troy ounce, how much are 5.17x1017 atoms of gold worth? (Hint: You will have to convert from grams to troy ounces as well.)

Answer 1

0.010 $.

Step-by-step explanation:

Hello!

In this case, since 1 troy ounce equals 31.1 grams, we can compute the price of gold per gram first:

`1,838.80(\$)/(try\ ounce) * (1try\ ounce)/(31.1g) = 59.1(\$)/(g)`

Now, we need to compute the grams of copper in 5.17 x10¹⁷ atoms via the Avogadro's number:

`m=5.17x10^(17)atomsAu*(197.0gAu)/(6.022x10^(23)atomsAu) \\\\m=1.69x10^(-4)g`

Thus, the price is:

`\$ = 59.1(\$)/(g)*1.69x10^(-4)g \\\\\$ =0.010\$`

Best regards!