Ionic Mobility given Zeta Potential using Smoluchowski Equation Calculator

⤿

Colloidal Structures in Surfactant Solutions

BET Adsorption Isotherm

Capillarity and Surface Forces in Liquids (Curved Surfaces)

Freundlich adsorption isotherm

Important Formulas of Adsorption Isotherm

Important Formulas of Colloids

Important Formulas on Surface Tension

Langmuir Adsorption Isotherm

⤿

Electrophoresis and other Electrokinetics Phenomena

Critical Packing Parameter

Micellar Aggregation Number

Specific Surface Area

Tanford Equation

✖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]

⎘ Copy

👎

Formula

✖

Ionic Mobility given Zeta Potential using Smoluchowski Equation

Formula

`"μ" = ("ζ"*"ε"_{"r"})/(4*pi*"μ"_{"liquid"})`

Example

`"55.98275m²/V*s"=("4.69V"*"150")/(4*pi*"10P")`

Calculator

LaTeX

Reset

👍

Download Surface Chemistry Formula PDF PDF Image

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 00.004 seconds)

You are here -

Home » Chemistry » Surface Chemistry » Colloidal Structures in Surfactant Solutions » Electrophoresis and other Electrokinetics Phenomena » Ionic Mobility given Zeta Potential using Smoluchowski Equation

Credits

Created by Pratibha

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

Pratibha has created this Calculator and 100+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< 7 Electrophoresis and other Electrokinetics Phenomena Calculators

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

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

Ionic Mobility given Zeta Potential using Smoluchowski Equation

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

Relative Permittivity of Solvent given Zeta Potential

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

Zeta Potential using Smoluchowski Equation

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

Drift Velocity of Dispersed Particle given Electrophoretic Mobility

Go Drift Velocity of Dispersed Particle = Electrophoretic Mobility*Electric Field Intensity

Electric Field Intensity given Electrophoretic Mobility

Go Electric Field Intensity = Drift Velocity of Dispersed Particle/Electrophoretic Mobility

Electrophoretic Mobility of Particle

Go Electrophoretic Mobility = Drift Velocity of Dispersed Particle/Electric Field Intensity

< 16 Important Formulas of Colloids Calculators

Surface Enthalpy given Critical Temperature

Go Surface Enthalpy = (Constant for each Liquid)*(1-(Temperature/Critical Temperature))^(Empirical Factor-1)*(1+((Empirical Factor-1)*(Temperature/Critical Temperature)))

Surface Entropy given Critical Temperature

Go Surface Entropy = Empirical Factor*Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)-(1/Critical Temperature)

Ionic Mobility given Zeta Potential using Smoluchowski Equation

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

Number of Moles of Surfactant given Critical Micelle Concentration

Go Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle

Zeta Potential using Smoluchowski Equation

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

Micellar Core Radius given Micellar Aggregation Number

Go Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)

Volume of Hydrophobic Tail given Micellar Aggregation Number

Go Volume of Hydrophobic Tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number

Micellar Aggregation Number

Go Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail

Critical Packing Parameter

Go Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)

Specific Surface Area for array of n Cylindrical Particles

Go Specific Surface Area = (2/Density)*((1/Cylinder Radius)+(1/Length))

Electrophoretic Mobility of Particle

Go Electrophoretic Mobility = Drift Velocity of Dispersed Particle/Electric Field Intensity

Surface Viscosity

Go Surface Viscosity = Dynamic Viscosity/Thickness of Surface Phase

Critical Chain Length of Hydrocarbon Tail using Tanford Equation

Go Critical Chain Length of Hydrocarbon Tail = (0.154+(0.1265*Number of Carbon Atoms))

Specific Surface Area

Go Specific Surface Area = 3/(Density*Radius of Sphere)

Number of Carbon Atoms given Critical Chain Length of Hydrocarbon

Go Number of Carbon Atoms = (Critical Chain Length of Hydrocarbon Tail-0.154)/0.1265

Volume of Hydrocarbon Chain using Tanford Equation

Go Micelle Core Volume = (27.4+(26.9*Number of Carbon Atoms))*(10^(-3))

Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula

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.

Home

FREE PDFs

🔍 Search