Project Forge100 ton/h of a rock feed, of which 80% passed through a mesh size of 2.54 mm, were reduced in size such that 80% of the crushed product passed through a mesh size of 1.27 mm. The power consumption was 100 kW. If 100 ton/h of the same material is similarly crushed from a mesh size of 5.08 mm to a mesh size of 2.54 mm, the power consumption (in kW, to the nearest integer) using Bond's law, is _____
Explanation
By Bond's Law, Power/ṁ=10Wi(1/√Dp,product−1/√Dp,feed), with Wi and ṁ (100 ton/h) the same in both cases. Case 1 bracket: 1/√1.27−1/√2.54=0.8873−0.6274=0.2599. Case 2 bracket: 1/√2.54−1/√5.08=0.6274−0.4437=0.1837. Power2=Power1×(0.1837/0.2599)=100×0.7069≈70.7≈71 kW.
Source: GATE CH 2013 (2013)
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