Relative Permittivity of Solvent given Zeta Potential 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%
✖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 given Zeta Potential [ε_r]

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Relative Permittivity of Solvent given Zeta Potential Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

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
Zeta Potential: 95 Volt --> 95 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_r = (4*pi*μ_liquid*μ)/ζ --> (4*pi*1*56)/95

Evaluating ... ...

ε_r = 7.4075447832012

STEP 3: Convert Result to Output's Unit

7.4075447832012 --> No Conversion Required

FINAL ANSWER

7.4075447832012 ≈ 7.407545 <-- Relative Permittivity of Solvent

(Calculation completed in 00.004 seconds)

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Created by Pratibha

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

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

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< Electrophoresis and other Electrokinetics Phenomena Calculators

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

Relative Permittivity of Solvent given Zeta Potential Formula

LaTeX Go

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

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 Relative Permittivity of Solvent given Zeta Potential?

Relative Permittivity of Solvent given Zeta Potential calculator uses Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential to calculate 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 calculate Relative Permittivity of Solvent given Zeta Potential using this online calculator? To use this online calculator 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. Here is how the Relative Permittivity of Solvent given Zeta Potential calculation can be explained with given input values -> 7.407545 = (4*pi*1*56)/95.

FAQ

What is Relative Permittivity of Solvent given Zeta Potential?

The Relative Permittivity of Solvent given Zeta Potential formula is defined as the ability to polarize a material subjected to an electrical field and is represented as ε_r = (4*pi*μ_liquid*μ)/ζ or Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential. 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 & 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.

How to calculate Relative Permittivity of Solvent given Zeta Potential?

The Relative Permittivity of Solvent given Zeta Potential formula is defined as the ability to polarize a material subjected to an electrical field is calculated using Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential. To calculate Relative Permittivity of Solvent given Zeta Potential, you need Dynamic Viscosity of Liquid (μ_liquid), Ionic Mobility (μ) & Zeta Potential (ζ). With our tool, you need to enter the respective value for Dynamic Viscosity of Liquid, Ionic Mobility & Zeta Potential 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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