* A meter is a unit of length: It measures distance.
* Atoms are incredibly small: They have a diameter on the order of nanometers (one billionth of a meter).
* Density is key: To know how many atoms are in a certain volume, you need to know the density of copper. The density of copper is approximately 8.96 g/cm³.
* You need to specify a volume: To calculate the number of copper atoms, you need to know the volume of copper you're considering.
Here's how to think about it:
1. Imagine a cube of copper that's 1 meter on each side. This cube would have a volume of 1 cubic meter (m³).
2. Convert cubic meters to cubic centimeters: 1 m³ = 1,000,000 cm³.
3. Use the density to find the mass: The mass of the copper cube would be 8.96 g/cm³ * 1,000,000 cm³ = 8,960,000 grams.
4. Calculate the number of moles: One mole of copper has a mass of 63.55 g (the atomic mass of copper). The number of moles in the cube would be 8,960,000 g / 63.55 g/mol = 141,076 moles.
5. Use Avogadro's number: Avogadro's number (6.022 x 10²³) tells us the number of atoms in one mole. So, the number of copper atoms in the cube would be 141,076 moles * 6.022 x 10²³ atoms/mole = 8.5 x 10²⁸ atoms.
Therefore, a 1-meter cube of copper would contain roughly 8.5 x 10²⁸ copper atoms. This number changes depending on the volume of copper you're considering.
