FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula

Fx Copy

LaTeX Copy

The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field. Check FAQs

μ = \frac{ζ \cdot ε r}{4 \cdot π \cdot μ liquid}

μ - Ionic Mobility?ζ - Zeta Potential?ε_r - Relative Permittivity of Solvent?μ_liquid - Dynamic Viscosity of Liquid?π - Archimedes' constant?

Ionic Mobility given Zeta Potential using Smoluchowski Equation Example

With values

With units

Only example

Here is how the Ionic Mobility given Zeta Potential using Smoluchowski Equation equation looks like with Values.

Here is how the Ionic Mobility given Zeta Potential using Smoluchowski Equation equation looks like with Units.

Here is how the Ionic Mobility given Zeta Potential using Smoluchowski Equation equation looks like.

55.9828 = \frac{4.69 \cdot 150}{4 \cdot 3.1416 \cdot 10}

55.9828m²/V*s = \frac{4.69V \cdot 150}{4 \cdot 3.1416 \cdot 10P}

55.9828 = \frac{4.69 \cdot 150}{4 \cdot 3.1416 \cdot 10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Surface Chemistry » Category

Colloidal Structures in Surfactant Solutions » fx Ionic Mobility given Zeta Potential using Smoluchowski Equation

Ionic Mobility given Zeta Potential using Smoluchowski Equation Solution

Follow our step by step solution on how to calculate Ionic Mobility given Zeta Potential using Smoluchowski Equation?

FIRST Step Consider the formula

μ = \frac{ζ \cdot ε r}{4 \cdot π \cdot μ liquid}

Next Step Substitute values of Variables

∴

μ = \frac{4.69V \cdot 150}{4 \cdot π \cdot 10P}

Next Step Substitute values of Constants

∴

μ = \frac{4.69V \cdot 150}{4 \cdot 3.1416 \cdot 10P}

Next Step Convert Units

∴

μ = \frac{4.69V \cdot 150}{4 \cdot 3.1416 \cdot 1Pa*s}

Next Step Prepare to Evaluate

∴

μ = \frac{4.69 \cdot 150}{4 \cdot 3.1416 \cdot 1}

Next Step Evaluate

∴

μ = 55.9827512325742m²/V*s

LAST Step Rounding Answer

∴

μ = 55.9828m²/V*s

Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula Elements

Variables

Constants

Ionic Mobility

The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field.

Symbol: μ

Measurement: MobilityUnit: m²/V*s

Note: Value can be positive or negative.

Formulas to find Ionic Mobility

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.

Symbol: ζ

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Zeta Potential

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.

Symbol: ε_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Relative Permittivity of Solvent

Dynamic Viscosity of Liquid

The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_liquid

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity of Liquid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

Go Critical Packing Parameter

CPP = \frac{v}{a o \cdot l}

Go Number of Moles of Surfactant given Critical Micelle Concentration

[M] = \frac{c - c CMC}{n}

Go Micellar Aggregation Number

N mic = \frac{(\frac{4}{3}) \cdot π \cdot ({R mic}^{3})}{V hydrophobic}

Go Micellar Core Radius given Micellar Aggregation Number

R mic = {(\frac{N mic \cdot 3 \cdot V hydrophobic}{4 \cdot π})}^{\frac{1}{3}}

How to Evaluate Ionic Mobility given Zeta Potential using Smoluchowski Equation?

Ionic Mobility given Zeta Potential using Smoluchowski Equation evaluator uses Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid) to evaluate 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 evaluate Ionic Mobility given Zeta Potential using Smoluchowski Equation using this online evaluator? To use this online evaluator 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.

FAQs on Ionic Mobility given Zeta Potential using Smoluchowski Equation

What is the formula to find Ionic Mobility given Zeta Potential using Smoluchowski Equation?

The formula of Ionic Mobility given Zeta Potential using Smoluchowski Equation is expressed as Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid). Here is an example- 1133.979 = (4.69*150)/(4*pi*1).

How to calculate Ionic Mobility given Zeta Potential using Smoluchowski Equation?

With Zeta Potential (ζ), Relative Permittivity of Solvent (ε_r) & Dynamic Viscosity of Liquid (μ_liquid) we can find Ionic Mobility given Zeta Potential using Smoluchowski Equation using the formula - Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid). This formula also uses Archimedes' constant .

Can the Ionic Mobility given Zeta Potential using Smoluchowski Equation be negative?

Yes, the Ionic Mobility given Zeta Potential using Smoluchowski Equation, measured in Mobility can be negative.

Which unit is used to measure Ionic Mobility given Zeta Potential using Smoluchowski Equation?

Ionic Mobility given Zeta Potential using Smoluchowski Equation is usually measured using the Square Meter per Volt per Second[m²/V*s] for Mobility. Square Centimeter per Volt Second[m²/V*s] are the few other units in which Ionic Mobility given Zeta Potential using Smoluchowski Equation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula

Ionic Mobility given Zeta Potential using Smoluchowski Equation Example

Ionic Mobility given Zeta Potential using Smoluchowski Equation Solution

Ionic Mobility given Zeta Potential using Smoluchowski Equation Formula Elements

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

How to Evaluate Ionic Mobility given Zeta Potential using Smoluchowski Equation?

FAQs on Ionic Mobility given Zeta Potential using Smoluchowski Equation

Variable Name