How to Calculate and Solve for Monolayer Maximum Volume Uptake | BET Adsorption Isotherm | Mineral Processing

The image above represents monolayer maximum volume uptake. To calculate monolayer maximum volume uptake, three essential parameters are needed: Volume Measured of Gas Adsorbed (V), c and Gas to Vapour Pressure Ratio (x).

The formula for calculating monolayer maximum volume uptake:

Vm = V[(1 – x) (1 + (c – 1)x)]/cx

Where:

Vm = Monolayer Maximum Volume Uptake | BET Adsorption Isotherm
V = Volume Measured of Gas Adsorbed
x = Gas to Vapour Pressure Ratio

Let’s solve an example;
Find the monolayer maximum volume uptake when the volume measured of gas adsorbed is 3, c is 5 and the gas to vapour pressure ratio is 9.

This implies that;

V = Volume Measured of Gas Adsorbed = 3
c = 5
x = Gas to Vapour Pressure Ratio = 9

Vm = V[(1 – x) (1 + (c – 1)x)]/cx
Vm = 3[(1 – 9)(1 + (5 – 1)9)]/(5)(9)
That is, Vm = 3[(-8)(1 + (4)9)]/45
Vm = 3[(-8)(1 + (36))]/45
Vm = 3[(-8)(37)]/45
So, Vm = 3[-296]/45
Vm = -888/45
Vm = -19.73

Therefore, the monolayer maximum volume uptake is -19.73 m³.

Read more: How to Calculate and Solve for Angle Interface | Young’s Equation | Mineral Processing

How to Calculate Monolayer Maximum Volume Uptake | BET Adsorption Isotherm Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the monolayer maximum volume uptake.

To get the answer and workings of the monolayer maximum volume uptake 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

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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 Monolayer Maximum Volume Uptake under Mineral Processing

The screenshot below displays the page or activity to enter your values, to get the answer for the monolayer maximum volume uptake according to the respective parameter which is the Volume Measured of Gas Adsorbed (V), c and Gas to Vapour Pressure Ratio (x).

How to Calculate and Solve for Monolayer Maximum Volume Uptake | BET Adsorption Isotherm | Mineral Processing

Now, enter the values appropriately and accordingly for the parameters as required by the Volume Measured of Gas Adsorbed (V) is 3, c is 5 and Gas to Vapour Pressure Ratio (x) is 9.

How to Calculate and Solve for Monolayer Maximum Volume Uptake | BET Adsorption Isotherm | Mineral Processing

Finally, Click on Calculate

How to Calculate and Solve for Monolayer Maximum Volume Uptake | BET Adsorption Isotherm | Mineral Processing

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the monolayer maximum volume uptake and presents the formula, workings and steps too.

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