Ionic Mobility given Zeta Potential using Smoluchowski Equation Calculator

✖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.ⓘ Zeta Potential [ζ]			+10% -10%
✖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.ⓘ Relative Permittivity of Solvent [ε_r]			+10% -10%
✖The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity of Liquid [μ_liquid]			+10% -10%

✖The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field.ⓘ Ionic Mobility given Zeta Potential using Smoluchowski Equation [μ]

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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 of Liquid)
μ = (ζ*ε_r)/(4*pi*μ_liquid)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Ionic Mobility - (Measured in Square Meter per Volt per Second) - The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field.
Zeta Potential - (Measured in Volt) - 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.
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 of Liquid - (Measured in Pascal Second) - The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Zeta Potential: 4.69 Volt --> 4.69 Volt No Conversion Required
Relative Permittivity of Solvent: 150 --> No Conversion Required
Dynamic Viscosity of Liquid: 10 Poise --> 1 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = (ζ*ε_r)/(4*pi*μ_liquid) --> (4.69*150)/(4*pi*1)

Evaluating ... ...

μ = 55.9827512325742

STEP 3: Convert Result to Output's Unit

55.9827512325742 Square Meter per Volt per Second --> No Conversion Required

FINAL ANSWER

55.9827512325742 ≈ 55.98275 Square Meter per Volt per Second <-- Ionic Mobility

(Calculation completed in 00.007 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

LaTeX Go Dynamic Viscosity of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)

Ionic Mobility given Zeta Potential using Smoluchowski Equation

LaTeX Go Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid)

Relative Permittivity of Solvent given Zeta Potential

LaTeX Go Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential

Zeta Potential using Smoluchowski Equation

LaTeX Go Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent

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Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula

LaTeX Go

Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid)
μ = (ζ*ε_r)/(4*pi*μ_liquid)

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 of Liquid) 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 (ε_r) & Dynamic Viscosity of Liquid (μ_liquid) 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 -> 1133.979 = (4.69*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*ε_r)/(4*pi*μ_liquid) or Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid). 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 & The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

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 of Liquid). To calculate Ionic Mobility given Zeta Potential using Smoluchowski Equation, you need Zeta Potential (ζ), Relative Permittivity of Solvent (ε_r) & Dynamic Viscosity of Liquid (μ_liquid). With our tool, you need to enter the respective value for Zeta Potential, Relative Permittivity of Solvent & Dynamic Viscosity of Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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