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Answer :
Final answer:
To find the number of copper atoms in a 115 kg statue, convert the mass to grams, then to moles, and multiply by Avogadro's number, resulting in approximately 1.09 × 1027 copper atoms.
Explanation:
To calculate the number of copper atoms in a 115 kg pure copper statue, we start by noting that the atomic mass of copper is approximately 63.54 g/mol from the periodic table. Using Avogadro's number, which is 6.02 × 1023 atoms/mol, we can find the number of atoms in one mole of copper. To find the total number of copper atoms in the statue, we must:
- Convert the mass of the statue to grams: 115 kg × 1000 g/kg = 115,000 g.
- Convert grams to moles by dividing by the atomic mass of copper: 115,000 g / 63.54 g/mol ≈ 1810.36 moles of copper.
- Multiply the moles of copper by Avogadro's number to find the number of atoms: 1810.36 moles × 6.02 × 1023 atoms/mol ≈ 1.09 × 1027 atoms.
Therefore, the pure copper statue with a mass of 115 kg consists of approximately 1.09 × 1027 copper atoms.
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