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zhuklara [117]
3 years ago
13

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.)
Chemistry
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

0.010 $.

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\frac{\$}{try\ ounce} * \frac{1try\ ounce}{31.1g}  = 59.1\frac{\$}{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*\frac{197.0gAu}{6.022x10^{23}atomsAu} \\\\m=1.69x10^{-4}g

Thus, the price is:

\$ = 59.1\frac{\$}{g}*1.69x10^{-4}g \\\\\$ =0.010\$

Best regards!

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