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Ionic Mobility given Zeta Potential using Smoluchowski equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity)
μ = (ζ*εr)/(4*pi*η)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Zeta Potential - Zeta potential is the electrical potential at the slipping plane. This plane is the interface that separates the mobile fluid from the fluid that remains attached to the surface. (Measured in Volt)
Relative Permittivity of Solvent- The Relative Permittivity of Solvent is defined as the relative permittivity or dielectric constant is the ratio of the absolute permittivity of a medium to the permittivity of free space.
Dynamic viscosity - Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density. (Measured in Poise)
STEP 1: Convert Input(s) to Base Unit
Zeta Potential: 100 Volt --> 100 Volt No Conversion Required
Relative Permittivity of Solvent: 150 --> No Conversion Required
Dynamic viscosity: 10 Poise --> 1 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μ = (ζ*εr)/(4*pi*η) --> (100*150)/(4*pi*1)
Evaluating ... ...
μ = 1193.66207318922
STEP 3: Convert Result to Output's Unit
1193.66207318922 Meter² per Volt Second --> No Conversion Required
FINAL ANSWER
1193.66207318922 Meter² per Volt Second <-- Ionic Mobility
(Calculation completed in 00.016 seconds)

4 Electrophoresis and other Electrokinetics Phenomena Calculators

Viscosity of Solvent given Zeta Potential using Smoluchowski equation
dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility) Go
Ionic Mobility given Zeta Potential using Smoluchowski equation
ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity) Go
Relative Permittivity of Solvent given Zeta Potential
relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential Go
Zeta Potential by using Smoluchowski equation
zeta_potential = (4*pi*Dynamic viscosity*Ionic Mobility)/Relative Permittivity of Solvent Go

Ionic Mobility given Zeta Potential using Smoluchowski equation Formula

ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity)
μ = (ζ*εr)/(4*pi*η)

What is Zeta Potential?

The Zeta potential is defined as the difference in potential between the surface of the tightly bound layer {commonly known as Stern's layer (or inner Helmholtz layers)} and the electroneutral regions (of the diffuse layers) of the solutions.

How to Calculate Ionic Mobility given Zeta Potential using Smoluchowski equation?

Ionic Mobility given Zeta Potential using Smoluchowski equation calculator uses ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity) to calculate the Ionic Mobility, The Ionic Mobility given Zeta Potential using Smoluchowski equation is defined as the ability of charged particles to move through a medium in response to an electric field. Ionic Mobility is denoted by μ symbol.

How to calculate Ionic Mobility given Zeta Potential using Smoluchowski equation using this online calculator? To use this online calculator for Ionic Mobility given Zeta Potential using Smoluchowski equation, enter Zeta Potential (ζ), Relative Permittivity of Solvent r) & Dynamic viscosity (η) and hit the calculate button. Here is how the Ionic Mobility given Zeta Potential using Smoluchowski equation calculation can be explained with given input values -> 1193.662 = (100*150)/(4*pi*1).

FAQ

What is Ionic Mobility given Zeta Potential using Smoluchowski equation?
The Ionic Mobility given Zeta Potential using Smoluchowski equation is defined as the ability of charged particles to move through a medium in response to an electric field and is represented as μ = (ζ*εr)/(4*pi*η) or ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity). Zeta potential is the electrical potential at the slipping plane. This plane is the interface that separates the mobile fluid from the fluid that remains attached to the surface, The Relative Permittivity of Solvent is defined as the relative permittivity or dielectric constant is the ratio of the absolute permittivity of a medium to the permittivity of free space & Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density.
How to calculate Ionic Mobility given Zeta Potential using Smoluchowski equation?
The Ionic Mobility given Zeta Potential using Smoluchowski equation is defined as the ability of charged particles to move through a medium in response to an electric field is calculated using ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity). To calculate Ionic Mobility given Zeta Potential using Smoluchowski equation, you need Zeta Potential (ζ), Relative Permittivity of Solvent r) & Dynamic viscosity (η). With our tool, you need to enter the respective value for Zeta Potential, Relative Permittivity of Solvent & Dynamic viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Ionic Mobility?
In this formula, Ionic Mobility uses Zeta Potential, Relative Permittivity of Solvent & Dynamic viscosity. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity)
  • relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential
  • dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)
  • zeta_potential = (4*pi*Dynamic viscosity*Ionic Mobility)/Relative Permittivity of Solvent
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