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The bulk density is illustrated by the image below.

To compute for bulk density, four essential parameters are needed and these parameters are Dried Weight (W), Density of Water (ρ_w), Soaked Weight (W) and Suspended Weight (S).

The formula for calculating bulk density:

BD = ^Dρ_w/_{W – S}

Where:

BD = Bulk Density
D = Dried Weight
ρ_w = Density of Water
W = Soaked Weight
S = Suspended Weight

Let’s solve an example;
Find the bulk density when the dried weight is 6, the density of water is 10, the soaked weight is 14 and the suspended weight is 9.

This implies that;

D = Dried Weight = 6
ρ_w = Density of Water = 10
W = Soaked Weight = 14
S = Suspended Weight = 9

BD = ^Dρ_w/_{W – S}
BD = ^(6)(10)/_{(14 – 9)}
BD = ⁽⁶⁰⁾/₍₅₎
BD = 12

Therefore, the bulk density is 12g/cm³.

Calculating the Dried Weight when the Bulk Density, the Density of Water, the Soaked Weight and the Suspended Weight is Given.

D = ^{BD(W – S)} / _ρw

Where:

D = Dried Weight
BD = Bulk Density
ρ_w = Density of Water
W = Soaked Weight
S = Suspended Weight

Let’s solve an example;
Find the dried weight when the bulk density is 10, the density of water is 4, the soaked weight is 8 and the suspended weight is 5.

This implies that;

BD = Bulk Density = 10
ρ_w = Density of Water = 4
W = Soaked Weight = 8
S = Suspended Weight = 5

D = ^{BD(W – S)} / _ρw
D = ^{10(8 – 5)} / ₄
D = ¹⁰⁽³⁾ / ₄
D = ³⁰ / ₄
D = 7.5

Therefore, the dried weight is 7.5g.

Continue reading How to Calculate and Solve for Bulk Density | Refractories