High School

How many copper atoms are in a pure copper statue with a mass of 159 kg? Express your answer to three significant figures.

Answer :

Final answer:

To find the number of copper atoms in a 159 kg copper statue, we need to use Avogadro's number and the atomic weight of copper. The mass of the statue is first converted to grams, then to moles using the atomic weight of copper. The number of copper moles is multiplied by Avogadro's number, yielding around 1.51 x 10^27 atoms, to three significant figures.

Explanation:

To determine the number of copper atoms in a 159 kg copper statue, you'll need to use Avogadro's number, which is 6.022 x 10^23 atoms per mole, and the atomic weight of copper, which is 63.55 g/mol.

First, you will need to convert kilograms to grams because the atomic weight of copper is in grams. So, 159 kg = 159,000 grams.

Then, you divide the mass of the copper by its atomic weight: 159,000 g / 63.55 g/mol = 2503.15 mol.

Now, multiply the number of moles by Avogadro's number to find the number of atoms: 2503.15 mol x 6.022 x 10^23 atoms/mol = approximately 1.51 x 10^27 atoms.

So, there are around 1.51 x 10^27 atoms of copper in a 159 kg copper statue, expressed to three significant figures.

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