The existing equations in the literature for a mechanochemical activation (MA) critical speed proved that only the ball size, volumetric filling ratio, and the vial/bowl diameter influence the milling speed, thus these equations do not account for all other crucial parameters and the critical speed is constant for all the mechanochemical process parameters for every ball size, quantity powder and number of balls considered. Milling speed is one of the vital process parameters, thus this present work derived a novel equation that accounts for the influence of ball size, the ball-to-powder/slurry weight ratio (BPR/BSR), the mass of the mineral powder, the chemical solution, the inner diameter of the vail and the liquid-to-solid ratio (L:S). MA is very beneficial to the hydrometallurgical process and these parameters are key for an enhanced recovery of the desired metals from the mineral in question. The powder and the chemical solution are related by the liquid-to-solid ratio considered in the activation process, thus as the BPR increases for the ball sizes considered, the critical speed increases drastically. Also, the effect of ball size, milling time, and speed on the recovery efficiency of vanadium from vanadium-bearing steel slag (VBSS) was investigated. The VBSS powder was Na2CO3(aq)-milled with balls of varying size at different milling speeds and ignition/milling times. A mechanochemical activation leaching experiment was carried out for 10g VBSS; at a milling speed of 140 rpm, BPR 7.8/BSR 1.02, ball diameter 10 mm, L:S ratio 5:1, temperature 90 °C, and 30-min ignition time, the vanadium recovery efficiency of above 80 % was achieved. For every predetermined mass of VBSS powder and L:S ratio of the chemical solution concentration; the BPR/BSR and the size of the ball determine the critical speeds which in turn influence the leachability of the vanadium.
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