Final answer:
The total volume of copper in the Statue of Liberty is 3.14 m³, and the number of copper atoms is 2.67 × 10²¸ atoms. The calculated answers do not match the provided options, suggesting a possible typo or need for additional context.
Step-by-step explanation:
To calculate the total volume of copper in the Statue of Liberty, first convert the weight of copper to grams:
- 62,000 lbs = 62,000 lbs * 453.59237 g/lb = 28,122,767.4 g
Now, use the density of copper to find the volume:
- Volume (cm³) = mass (g) / density (g/cm³)
- Volume (cm³) = 28,122,767.4 g / 8.96 g/cm³ = 3,139,528.95 cm³
- Convert cm³ to m³: 3,139,528.95 cm³ * (1 m³ / 1,000,000 cm³) = 3.14 m³
To find the number of copper atoms, use Avogadro's number and the atomic mass of copper:
- 1 mole of copper atoms = 6.02 × 10²³ atoms
- 1 mole of copper has a mass of 63.54 g
- Number of moles in 28,122,767.4 g = 28,122,767.4 g / 63.54 g/mol
- Number of moles = 442,721.8955 mol
- Total number of atoms = 442,721.8955 mol * 6.02 × 10²³ atoms/mol = 2.67 × 10²¸ atoms
Therefore, the correct answer is: Volume: 3.14 m³, Atoms: 2.67 × 10²¸.
The options provided in the question don't match our calculations, which means there may be a typo in the given options, or additional context may be required to match one of the provided answers.