The method to calculate the mass of copper depends on what information you have available. Here's a breakdown of common scenarios:
1. Calculating Copper Mass from Number of Moles
If you know the number of moles of copper, you can calculate the mass using the following formula:
Mass (g) = Number of Moles (mol) × Molar Mass (g/mol)
The molar mass of copper is approximately 63.546 g/mol (this is also the atomic mass in atomic mass units, u).
Example:
Let's say you have 2 moles of copper. To find the mass:
Mass = 2 mol × 63.546 g/mol = 127.092 g
2. Calculating Copper Mass from Number of Atoms
If you know the number of copper atoms, you can calculate the mass using Avogadro's number (approximately 6.022 x 1023 atoms/mol) and the molar mass of copper:
Mass (g) = (Number of Atoms / Avogadro's Number) × Molar Mass (g/mol)
Example:
Let's say you have 1.2044 x 1024 copper atoms. To find the mass:
Mass = (1.2044 x 1024 atoms / 6.022 x 1023 atoms/mol) × 63.546 g/mol = 2 mol × 63.546 g/mol = 127.092 g
3. Calculating Copper Mass from Volume and Density
If you know the volume of a piece of pure copper and its density, you can calculate the mass:
Mass (g) = Density (g/cm3) × Volume (cm3)
The density of copper is approximately 8.96 g/cm3. Note: The density can vary slightly depending on the purity and temperature of the copper.
Example:
Let's say you have a piece of copper with a volume of 10 cm3. To find the mass:
Mass = 8.96 g/cm3 × 10 cm3 = 89.6 g
Summary Table
| Given Information | Formula | Notes |
|---|---|---|
| Number of Moles | Mass = Moles × Molar Mass | Molar mass of copper is approximately 63.546 g/mol. |
| Number of Atoms | Mass = (Atoms / Avogadro's Number) × Molar Mass | Avogadro's number is approximately 6.022 x 1023 atoms/mol. |
| Volume and Density | Mass = Density × Volume | Density of copper is approximately 8.96 g/cm3, but can vary. |
