How to Calculate and Solve for Rate of Absorption | Mineral Processing
Last Updated on December 9, 2021
The image above represents rate of absorption.
To compute for rate of absorption, three essential parameters are needed and these parameters are Proportionality Constant (Ka), Gas Pressure (P) and Fraction of Surface Covered by Adsorbed (θ).
The formula for calculating rate of absorption:
R = KaP(1 – θ)
Where:
R = Rate of Absorption
Ka = Proportionality Constant
P = Gas Pressure
θ = Fraction of Surface Covered by Adsorbed
Let’s solve an example;
Find the rate of absorption when the proportionality constant is 2, the gas pressure is 4 and the fraction of surface covered by adsorbed is 8.
This implies that;
Ka = Proportionality Constant = 2
P = Gas Pressure = 4
θ = Fraction of Surface Covered by Adsorbed = 8
R = KaP(1 – θ)
R = 2(4)(1 – 8)
R = 2(4)(-7)
R = -56
Therefore, the rate of absorption is -56.
Calculating the Proportionality Constant when the Rate of Absorption, the Gas Pressure and the Fraction of Surface Covered by Adsorbed is Given.
Ka = R / P(1 – θ)
Where:
Ka = Proportionality Constant
R = Rate of Absorption
P = Gas Pressure
θ = Fraction of Surface Covered by Adsorbed
Let’s solve an example;
Find the proportionality constant when the rate of absorption is 22, the gas pressure is 12 and the fraction of surface covered by adsorbed is 4.
This implies that;
R = Rate of Absorption = 22
P = Gas Pressure = 12
θ = Fraction of Surface Covered by Adsorbed = 4
Ka = R / P(1 – θ)
Ka = 22 / 12(1 – 4)
Ka = 22 / 12(-3)
Ka = 22 / -36
Ka = 0.61
Therefore, the proportionality constant is 0.61.
Calculating the Gas Pressure when the Rate of Absorption, the Proportionality Constant and the Fraction Covered by Adsorbed is Given.
P = R / Ka(1 – θ)
Where:
P = Gas Pressure
R = Rate of Absorption
Ka = Proportionality Constant
θ = Fraction of Surface Covered by Adsorbed
Let’s solve an example;
Find the gas pressure when the rate of absorption is 14, the proportionality constant is 8 and the fraction of surface covered by adsorbed is 5.
This implies that;
R = Rate of Absorption = 14
Ka = Proportionality Constant = 8
θ = Fraction of Surface Covered by Adsorbed = 5
P = R / Ka(1 – θ)
P = 14 / 8(1 – 5)
P = 14 / 8(-4)
P = 14 / -32
P = -0.437
Therefore, the gas pressure is -0.437.
Calculating the Fraction Covered by Adsorbed when the Rate of Absorption, the Proportionality Constant and the Gas Pressure is Given.
θ = R / KaP – 1
Where:
θ = Fraction of Surface Covered by Adsorbed
R = Rate of Absorption
Ka = Proportionality Constant
P = Gas Pressure
Let’s solve an example;
Find the fraction covered by adsorbed when the rate of absorption is 32, the proportionality constant is 12 and the gas pressure is 2.
This implies that;
R = Rate of Absorption = 32
Ka = Proportionality Constant = 12
P = Gas Pressure = 2
θ = R / KaP – 1
θ = 32 / (12)(2) – 1
θ = 32 / 24 – 1
θ = 1.33 – 1
θ = 0.33
Therefore, the fraction of surface covered by adsorbate is 0.33.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the rate of absorption.
To get the answer and workings of the rate of absorption 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
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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 Rate of Absorption under Mineral Processing
The screenshot below displays the page or activity to enter your values, to get the answer for the rate of absorption according to the respective parameter which is the Proportionality Constant (Ka), Gas Pressure (P) and Fraction of Surface Covered by Adsorbed (θ).
Now, enter the values appropriately and accordingly for the parameters as required by the Proportionality Constant (Ka) is 2, Gas Pressure (P) is 4 and Fraction of Surface Covered by Adsorbed (θ) is 8.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the rate of absorption and presents the formula, workings and steps too.
