Calculate Number of Vacancies per Cubic Meter in Gold
Calculating the number of vacancies per cubic meter in gold is crucial for understanding the material’s atomic structure and its properties. This calculator helps you determine the number of vacancies, which can impact the gold’s electrical and thermal conductivity.
- Enter the density of gold in g/cm³.
- Enter the volume of gold in cm³.
- Click the ‘Calculate’ button.
The formula to calculate the number of vacancies per cubic meter in gold is:
Number of Vacancies = (Volume * Avogadro’s Number) / (Density * Atomic Volume)
Where:
- Volume is in cm³.
- Density is in g/cm³.
- Avogadro’s Number is 6.02 x 10^23.
- Atomic Volume of gold is 10.2 cm³/mol.
Real-World Examples
Let’s consider three scenarios:
- Gold Bar: A gold bar with a density of 19.3 g/cm³ and a volume of 100 cm³ has approximately 3.6 x 10^22 vacancies.
- Gold Wire: A gold wire with a density of 19.3 g/cm³ and a volume of 1 cm³ has approximately 3.6 x 10^21 vacancies.
- Gold Foil: A gold foil with a density of 19.3 g/cm³ and a volume of 0.01 cm³ has approximately 3.6 x 10^20 vacancies.
Data & Statistics
| Temperature (°C) | Density (g/cm³) |
|---|---|
| 0 | 19.3 |
| 100 | 19.2 |
| 200 | 19.1 |
| Property | Value |
|---|---|
| Atomic Number | 79 |
| Atomic Mass (g/mol) | 196.97 |
| Melting Point (°C) | 1064 |
Expert Tips
- Always use the latest density values for accurate calculations.
- Consider the temperature when calculating density.
- For large volumes, consider using a larger unit of measurement.
Interactive FAQ
What is the atomic volume of gold?
The atomic volume of gold is 10.2 cm³/mol.
How does temperature affect the density of gold?
Temperature affects the density of gold. As the temperature increases, the density decreases.