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Relative Permittivity of Solvent given Zeta Potential Formula

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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. Check FAQs

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

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

Relative Permittivity of Solvent given Zeta Potential Example

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Here is how the Relative Permittivity of Solvent given Zeta Potential equation looks like with Values.

Here is how the Relative Permittivity of Solvent given Zeta Potential equation looks like with Units.

Here is how the Relative Permittivity of Solvent given Zeta Potential equation looks like.

7.4075 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 56}{95}

7.4075 = \frac{4 \cdot 3.1416 \cdot 10P \cdot 56m²/V*s}{95V}

7.4075 = \frac{4 \cdot 3.1416 \cdot 10 \cdot 56}{95}

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Home » Chemistry » Surface Chemistry » Colloidal Structures in Surfactant Solutions » Relative Permittivity of Solvent given Zeta Potential

Relative Permittivity of Solvent given Zeta Potential Solution

Follow our step by step solution on how to calculate Relative Permittivity of Solvent given Zeta Potential?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ε r = \frac{4 \cdot π \cdot 10P \cdot 56m²/V*s}{95V}

Next Step Substitute values of Constants

∴

ε r = \frac{4 \cdot 3.1416 \cdot 10P \cdot 56m²/V*s}{95V}

Next Step Convert Units

∴

ε r = \frac{4 \cdot 3.1416 \cdot 1Pa*s \cdot 56m²/V*s}{95V}

Next Step Prepare to Evaluate

∴

ε r = \frac{4 \cdot 3.1416 \cdot 1 \cdot 56}{95}

Next Step Evaluate

∴

ε r = 7.4075447832012

LAST Step Rounding Answer

∴

ε r = 7.4075

Relative Permittivity of Solvent given Zeta Potential Formula Elements

Variables

Constants

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.

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.

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.

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.

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

Credits

Created by Pratibha

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

Pratibha has created this Formula and 100+ more formulas!

Verified by Prerana Bakli

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

Prerana Bakli has verified this Formula and 1600+ more formulas!

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

Go Ionic Mobility given Zeta Potential using Smoluchowski Equation

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

Go Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

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

Go Zeta Potential using Smoluchowski Equation

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

Go Drift Velocity of Dispersed Particle given Electrophoretic Mobility

v = μ e \cdot E

How to Evaluate Relative Permittivity of Solvent given Zeta Potential?

Relative Permittivity of Solvent given Zeta Potential evaluator uses Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential to evaluate the Relative Permittivity of Solvent, The Relative Permittivity of Solvent given Zeta Potential formula is defined as the ability to polarize a material subjected to an electrical field. Relative Permittivity of Solvent is denoted by ε_r symbol.

How to evaluate Relative Permittivity of Solvent given Zeta Potential using this online evaluator? To use this online evaluator for Relative Permittivity of Solvent given Zeta Potential, enter Dynamic Viscosity of Liquid (μ_liquid), Ionic Mobility (μ) & Zeta Potential (ζ) and hit the calculate button.

FAQs on Relative Permittivity of Solvent given Zeta Potential

What is the formula to find Relative Permittivity of Solvent given Zeta Potential?

The formula of Relative Permittivity of Solvent given Zeta Potential is expressed as Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential. Here is an example- 7.407545 = (4*pi*1*56)/95.

How to calculate Relative Permittivity of Solvent given Zeta Potential?

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

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Relative Permittivity of Solvent given Zeta Potential Formula

Relative Permittivity of Solvent given Zeta Potential Example

Relative Permittivity of Solvent given Zeta Potential Solution

Relative Permittivity of Solvent given Zeta Potential Formula Elements

Credits

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

How to Evaluate Relative Permittivity of Solvent given Zeta Potential?

FAQs on Relative Permittivity of Solvent given Zeta Potential

Variable Name