Discussion
Applying Rittinger's law with a constant of \( 12 \) kWh mm per tonne, grinding from \( 4.0 \) mm to \( 0.5 \) mm requires
Answer: D
Correct answer: 21.0 kWh per tonne
Rittinger's law gives the energy as proportional to the new surface created:
\[ E = K_R \left( \frac{1}{x_2} - \frac{1}{x_1} \right) = 12 \left( \frac{1}{0.5} - \frac{1}{4.0} \right) \]
\[ E = 12(2.0 - 0.25) = 12 \times 1.75 = 21.0\ \mathrm{kWh/tonne} \]
Note how the fine end dominates: the \( 1/x_2 \) term contributes \( 24 \) and the coarse term subtracts only \( 3 \). That asymmetry is why grinding finer costs so disproportionately much.
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