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Zeta Potential using Smoluchowski Equation Formula

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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. Check FAQs

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

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

Zeta Potential using Smoluchowski Equation Example

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

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

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

4.6914 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 56}{150}

4.6914V = \frac{4 \cdot 3.1416 \cdot 10P \cdot 56m²/V*s}{150}

4.6914 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 56}{150}

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Zeta Potential using Smoluchowski Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ζ = \frac{4 \cdot π \cdot 10P \cdot 56m²/V*s}{150}

Next Step Substitute values of Constants

∴

ζ = \frac{4 \cdot 3.1416 \cdot 10P \cdot 56m²/V*s}{150}

Next Step Convert Units

∴

ζ = \frac{4 \cdot 3.1416 \cdot 1Pa*s \cdot 56m²/V*s}{150}

Next Step Prepare to Evaluate

∴

ζ = \frac{4 \cdot 3.1416 \cdot 1 \cdot 56}{150}

Next Step Evaluate

∴

ζ = 4.69144502936076V

LAST Step Rounding Answer

∴

ζ = 4.6914V

Zeta Potential using Smoluchowski Equation Formula Elements

Variables

Constants

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

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

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

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

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 Zeta Potential using Smoluchowski Equation?

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

FAQs on Zeta Potential using Smoluchowski Equation

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

The formula of Zeta Potential using Smoluchowski Equation is expressed as Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent. Here is an example- 4.691445 = (4*pi*1*56)/150.

How to calculate Zeta Potential using Smoluchowski Equation?

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

Can the Zeta Potential using Smoluchowski Equation be negative?

No, the Zeta Potential using Smoluchowski Equation, measured in Electric Potential cannot be negative.

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

Zeta Potential using Smoluchowski Equation is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Zeta Potential using Smoluchowski Equation can be measured.

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Zeta Potential using Smoluchowski Equation Formula

Zeta Potential using Smoluchowski Equation Example

Zeta Potential using Smoluchowski Equation Solution

Zeta Potential using Smoluchowski Equation Formula Elements

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

How to Evaluate Zeta Potential using Smoluchowski Equation?

FAQs on Zeta Potential using Smoluchowski Equation

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