Subtopic: Particle size analysis for comminuted solids
Question Statement:
The results of sieve analysis of a food powder are presented in two tables (average particle diameter d, mass retained on sieve x%, and dx). The mass mean diameter of the sample will be
Figure (reconstructed from question data — Table 2, sieve analysis):
Options:
(A) 8.46 μm
(B) 6.48 μm
(C) 4.86 μm
(D) 4.68 μm
Official Answer Key:
D
Step-by-Step Solution & Explanation
Mass mean diameter = Σ(dᵢxᵢ)/Σxᵢ, using Table-2 values: Σ(dx) = 1.725+20.800+114.4+193.2+138.0 = 468.125; Σx = 100%. Mean = 468.125/100 = 4.68 μm.
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