Question

Aluminum costs about 85 cents per pound (453.592 g). How much is one atom of aluminum?

Answer 1

One aluminum atom will cost 0.84 × 10⁻²³ cents.

Explanation:

Aluminium costs 85 cents per 453.592 grams.

number of moles = mass / atomic weight

number of moles of aluminium = 453.592 / 27 = 16.8 moles

To calculate the number of aluminum atoms we use the Avogadro's number:

if         1 mole of aluminum contains 6.022 × 10²³ aluminum atoms

then    16.8 moles of aluminum contains X aluminum atoms

X = (16.8 × 6.022 × 10²³) / 1 = 101.17 × 10²³ aluminum atoms

Now, taking in account the aluminium price, we devise the following reasoning:

if         101.17 × 10²³ aluminum atoms costs 85 cents

then   1 aluminum atom costs Y cents

Y = (1 × 85) / (101.17 × 10²³) = 0.84 × 10⁻²³ cents

Learn more about:

Avogadro's number

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