Question Bank • QB_APE_029 NAT • 1 Mark

Section 6: Agricultural Process Engineering

Size Reduction and Material Handling

Subtopic: Particle size analysis for comminuted solids

Question Statement:

A ground feed sample undergoes sieve analysis using a standard set of 7 sieves (Tyler mesh sizes 3/8-inch, 4, 8, 14, 28, 48, and 100). The cumulative percentages of material retained on these 7 sieves are found to be $0\%$, $12\%$, $28\%$, $48\%$, $68\%$, $84\%$, and $96\%$. The fineness modulus ($FM$) of the ground sample is ________ (round off to 2 decimal places).

Answer Key:

3.36

Step-by-Step Solution & Explanation

Fineness modulus $FM$ is defined as: $FM = \frac{\sum (\text{Cumulative percentage retained on 7 standard sieves})}{100}$ $\sum = 0 + 12 + 28 + 48 + 68 + 84 + 96 = 336$ $FM = \frac{336}{100} = 3.36$
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