# How to Calculate and Solve for Bulk Density | Refractories

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 (ρw), Soaked Weight (W) and Suspended Weight (S).

The formula for calculating bulk density:

BD = w/W – S

Where:

BD = Bulk Density
D = Dried Weight
ρw = 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
ρw = Density of Water = 10
W = Soaked Weight = 14
S = Suspended Weight = 9

BD = 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
ρw = 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
ρw = 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.

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

ρw = BD(W – S) / D

Where:

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

Let’s solve an example;
Find the density of water when the bulk density is 14, the dried weight is 10, the soaked weight is 16 and the suspended weight is 12.

This implies that;

BD = Bulk Density = 14
D = Dried Weight = 10
W = Soaked Weight = 16
S = Suspended Weight = 12

ρw = BD(W – S) / D
ρw = 14(16 – 12) / 10
ρw = 14(4) / 10
ρw = 56 / 10
ρw = 5.6

Therefore, the density of water is 5.6 cm.

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

W = w / BD + S

Where:

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

Given an example;
Find the soaked weight when the bulk density is 20, the dried weight is 15, the density of water is 8 and the suspended weight is 2.

This implies that;

BD = Bulk Density = 20
D = Dried Weight = 15
ρw = Density of Water = 8
S = Suspended Weight = 2

W = w / BD + S
W = 15(8) / 20 + 2
W = 120 / 20 + 2
W = 6 + 2
W = 8

Therefore, the soaked weight is 8.

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

S = W – w / BD

Where:

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

Let’s solve an example;
Find the suspended weight when the bulk density is 12, the dried weight is 11, the density of water is 7 and the soaked weight is 3.

This implies that;

BD = Bulk Density = 12
D = Dried Weight = 11
ρw = Density of Water = 7
W = Soaked Weight = 3

S = W – w / BD
S = 3 – 11(7) / 12
S = 3 – 77 / 12
S = 3 – 6.41
S = – 3.41

Therefore, the suspended weight is – 3.41.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the bulk density.

To get the answer and workings of the bulk density using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering. Now, Click on Refractories under Materials and Metallurgical Now, Click on Bulk Density under Refractories The screenshot below displays the page or activity to enter your values, to get the answer for the bulk density according to the respective parameter which is the Dried Weight (W), Density of Water (ρw), Soaked Weight (W) and Suspended Weight (S). Now, enter the values appropriately and accordingly for the parameters as required by the Dried Weight (W) is 6, Density of Water (ρw) is 10, Soaked Weight (W) is 14 and Suspended Weight (S) is 9. Finally, Click on Calculate  As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the bulk density and presents the formula, workings and steps too.