Size Reduction and Material Handling: Mechanics and energy requirement in size reduction of agriculture produce; particle size analysis for comminuted solids; size separation by screening; fluidization of granular solids-pneumatic, bucket, screw and belt conveying; cleaning and grading; effectiveness of separation; centrifugal separation of solids, liquids and gases; homogenization; filtration and membrane separation.
Head rice contents in samples at feed inlet, head rice outlet, and broken rice outlet of an indented cylinder grader are 82%, 94%, and 15% respectively. If the grader receives feed at 1200 kg/h, the flow rate (kg/h) of head rice in the broken rice stream is
Options:
(A) 20.17
(B) 27.34
(C) 182.28
(D) 1017.72
Official Answer Key:
B
Step-by-Step Solution & Explanation
Let x = flow rate of the head-rice outlet stream, y = flow rate of the broken-rice outlet stream (kg/h). Mass balance:
Total flow: x + y = 1200 ... (i)
Head-rice mass balance: 0.94x + 0.15y = 0.82 × 1200 = 984 ... (ii)
From (i): x = 1200 − y. Substitute in (ii): 0.94(1200−y) + 0.15y = 984 ⟹ 1128 − 0.94y + 0.15y = 984 ⟹ 1128 − 0.79y = 984 ⟹ 0.79y = 144 ⟹ y = 182.28 kg/h.
Head rice present IN the broken-rice stream = 0.15 × y = 0.15 × 182.28 = 27.34 kg/h. Answer: (B) 27.34.
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