How to Calculate and Solve for Energy Used in Comminution | Mineral Processing

The image above represents energy used in comminution. To calculate energy used in comminution, three essential parameters are needed and these parameters are Constant (KR), Surface Area of Product (Ap) and Surface Area of Feed (Af).

The formula for calculating the energy used in comminution:

E = KR(Ap – Af)

Where:

E = Energy used in Comminution
KR = Constant
Ap = Surface Area of Product
Af = Surface Area of Feed

Let’s solve an example;
Find the energy used in comminution when the constant is 32, the surface area of product is 8 and the surface area of feed is 4.

This implies that;

KR = Constant = 32
Ap = Surface Area of Product = 8
Af = Surface Area of Feed = 4

E = KR(Ap – Af)
That is, E = 32(8 – 4)
E = 32(4)
E = 128

Therefore, the energy used in comminution is 128 J.

Calculating the Constant when the Energy used in Comminution, the Surface Area of Product and the Surface Area of Feed are Given

KR = E / (Ap – Af)

Where:

KR = Constant
E = Energy used in Comminution
Ap = Surface Area of Product
Af = Surface Area of Feed

Let’s solve an example;
Find the constant when the energy used in comminution is 24, the surface area of product is 15 and the surface area of feed is 7.

This implies that;

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E = Energy used in Comminution = 24
Ap = Surface Area of Product = 15
Af = Surface Area of Feed = 7

KR = E / (Ap – Af)
KR = 24 / (15 – 7)
So, KR = 24 / 8
KR = 3

Therefore, the constant is 3.

Read more: How to Calculate and Solve for Energy Input | Rittinger’s Equation of Comminution | Mineral Processing

Calculating the Surface Area of Product when the Energy used in Comminution, the Constant and the Surface Area of Feed are Given

Ap = (E / KR) + Af

Where:

Ap = Surface Area of Product
E = Energy used in Comminution
KR = Constant
Af = Surface Area of Feed

Let’s solve an example;
Find the surface area of product when the energy used in comminution is 32, the constant is 2 and the surface area of feed is 4.

This implies that;

E = Energy used in Comminution = 32
KR = Constant = 2
Af = Surface Area of Feed = 4

Ap = (E / KR) + Af
So, Ap = (32 / 2) + 4
Ap = 16 + 4
Ap = 20

Therefore, the surface area of product is 20.

Calculating the Surface Area of Feed when the Energy used in Comminution, the Constant and the Surface Area of Product are Given

Af = Ap – (E / KR)

Where:

Af = Surface Area of Feed
E = Energy used in Comminution
KR = Constant
Ap = Surface Area of Product

Let’s solve an example;
Find the surface area of feed when the energy used in comminution is 48, the constant is 8 and the surface area of product is 50.

This implies that;

E = Energy used in Comminution = 48
KR = Constant = 8
Ap = Surface Area of Product = 50

Af = Ap – (E / KR)
Then, Af = 50 – (48 / 8)
Af = 50 – 6
Af = 44

Therefore, the surface area of feed is 44.

Read more: How to Calculate and Solve for Power of Comminution walls | Mineral Processing

How to Calculate Energy Used in Comminution Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the energy used in comminution.

To get the answer and workings of the energy used in comminution using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

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 Mineral Processing under Materials and Metallurgical

Now, Click on Energy used in Comminution under Mineral Processing

The screenshot below displays the page or activity to enter your values, to get the answer for the energy used in comminution according to the respective parameter which is the Constant (KR), Surface Area of Product (Ap) and Surface Area of Feed (Af).

How to Calculate and Solve for Energy Used in Comminution | Mineral Processing

Now, enter the values appropriately and accordingly for the parameters as required by the Constant (KR) is 32, Surface Area of Product (Ap) is 8 and Surface Area of Feed (Af) is 4.

How to Calculate and Solve for Energy Used in Comminution | Mineral Processing

Finally, Click on Calculate

How to Calculate and Solve for Energy Used in Comminution | Mineral Processing

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the energy used in comminution and presents the formula, workings and steps too.

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