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

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:

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

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