Zeta Potential using Smoluchowski Equation Calculator

✖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 [μ]			+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%

✖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 using Smoluchowski Equation [ζ]

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Zeta Potential using Smoluchowski Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent
ζ = (4*pi*μ_liquid*μ)/ε_r
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity of Liquid: 10 Poise --> 1 Pascal Second (Check conversion here)
Ionic Mobility: 56 Square Meter per Volt per Second --> 56 Square Meter per Volt per Second No Conversion Required
Relative Permittivity of Solvent: 150 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζ = (4*pi*μ_liquid*μ)/ε_r --> (4*pi*1*56)/150

Evaluating ... ...

ζ = 4.69144502936076

STEP 3: Convert Result to Output's Unit

4.69144502936076 Volt --> No Conversion Required

FINAL ANSWER

4.69144502936076 ≈ 4.691445 Volt <-- Zeta Potential

(Calculation completed in 00.020 seconds)

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Created by Pratibha

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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Zeta Potential using Smoluchowski Equation Formula

LaTeX Go

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

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.

Electrokinetic Potential or Zeta Potential

Zeta Potential is determined by measuring the relative movement, with respect to one another, of a solid and liquid accompanied by certain electrical phenomena which are referred to as electrokinetic effect. These phenomena are ascribed to the presence of a potential difference at the interface between any two phases at which movement occurs; this potential is known as the electrokinetic potential or, frequently, as the Zeta Potential.

How to Calculate Zeta Potential using Smoluchowski Equation?

Zeta Potential using Smoluchowski Equation calculator uses Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent to calculate the Zeta Potential, The Zeta Potential using Smoluchowski equation is defined as 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 is denoted by ζ symbol.

How to calculate Zeta Potential using Smoluchowski Equation using this online calculator? To use this online calculator for Zeta Potential using Smoluchowski Equation, enter Dynamic Viscosity of Liquid (μ_liquid), Ionic Mobility (μ) & Relative Permittivity of Solvent (ε_r) and hit the calculate button. Here is how the Zeta Potential using Smoluchowski Equation calculation can be explained with given input values -> 4.691445 = (4*pi*1*56)/150.

FAQ

What is Zeta Potential using Smoluchowski Equation?

The Zeta Potential using Smoluchowski equation is defined as 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 and is represented as ζ = (4*pi*μ_liquid*μ)/ε_r or Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent. The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied, The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field & 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.

How to calculate Zeta Potential using Smoluchowski Equation?

The Zeta Potential using Smoluchowski equation is defined as 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 is calculated using Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent. To calculate Zeta Potential using Smoluchowski Equation, you need Dynamic Viscosity of Liquid (μ_liquid), Ionic Mobility (μ) & Relative Permittivity of Solvent (ε_r). With our tool, you need to enter the respective value for Dynamic Viscosity of Liquid, Ionic Mobility & Relative Permittivity of Solvent 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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