The formula to calculate the Energy Required to Crush Coarse Materials according to Bond's Law is:
\[ E = W_i \left( \sqrt{\frac{100}{d_2}} - \sqrt{\frac{100}{d_1}} \right) \]
Energy per Unit Mass of Feed is the energy required to process one unit mass of feed for a given operation. Work Index always means the equivalent amount of energy to reduce one ton of the ore from a very large size to 100 µm. Product Diameter is the diameter of the sieve aperture that allows 80% of the mass of the ground material to pass. Feed Diameter is the diameter of the sieve aperture that allows 80% of the mass of the feed to pass.
Let's assume the following values:
Using the formula:
\[ E = 11.6 \left( \sqrt{\frac{100}{1.9}} - \sqrt{\frac{100}{3.5}} \right) \approx 22.1506368890789 \, \text{Joules per kilogram} \]
The Energy Required is approximately 22.1506368890789 Joules per kilogram.
| Work Index (Joules per kilogram) | Energy Required (Joules per kilogram) |
|---|---|
| 10 | 19.095376628516298 |
| 10.2 | 19.477284161086622 |
| 10.4 | 19.859191693656946 |
| 10.6 | 20.241099226227274 |
| 10.8 | 20.623006758797597 |
| 11 | 21.004914291367921 |
| 11.2 | 21.386821823938245 |
| 11.4 | 21.768729356508572 |
| 11.6 | 22.150636889078896 |
| 11.8 | 22.532544421649220 |
| 12 | 22.914451954219544 |