How to Calculate and Solve for Infinitesimal Change in Surface Tension | Gas Absorption | Mineral Processing
Last Updated on December 9, 2021
The image above represents infinitesimal change in surface tension.
To compute for infinitesimal change in surface tension, five essential parameters are needed and these parameters are Gas Constant (R), Temperature (T), Surface Excess or Absorption Density (Γ), Particle Diameter (d) and Activity of Adsorbate (ai).
The formula for calculating infinitesimal change in surface tension:
dγ = -RT.Γd In(ai)
Where:
dγ = Infinitesimal Change in Surface Tension | Gas Absorption
R = Gas Constant
T = Temperature
Γ = Surface Excess or Absorption Density
d = Particle Diameter
ai = Activity of Adsorbate
Let’s solve an example;
Find the infinitesimal change in surface tension when the gas constant is 11, the temperature is 21, the surface excess or absorption density is 12, the particle diameter is 14 and the activity of adsorbate is 18.
This implies that;
R = Gas Constant = 11
T = Temperature = 21
Γ = Surface Excess or Absorption Density = 12
d = Particle Diameter = 14
ai = Activity of Adsorbate = 18
dγ = -RT.Γd In(ai)
dγ = -(11)(21).(12)(14) In(18)
dγ = (-231).(12)(14)(2.89)
dγ = (-231).(485.58)
dγ = -112169.54
Therefore, the infinitesimal change in surface tension is -112169.54 N/m.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the infinitesimal change in surface tension.
To get the answer and workings of the infinitesimal change in surface tension 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 Infinitesimal Change in Surface Tension under Mineral Processing
The screenshot below displays the page or activity to enter your values, to get the answer for the infinitesimal change in surface tension according to the respective parameter which is the Gas Constant (R), Temperature (T), Surface Excess or Absorption Density (Γ), Particle Diameter (d) and Activity of Adsorbate (ai).
Now, enter the values appropriately and accordingly for the parameters as required by the Gas Constant (R) is 11, Temperature (T) is 21, Surface Excess or Absorption Density (Γ) is 12, Particle Diameter (d) is 14 and Activity of Adsorbate (ai) is 18.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the infinitesimal change in surface tension and presents the formula, workings and steps too.
