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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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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*Ionic Mobility)/Zeta Potential
εr = (4*pi*η*μ)/ζ
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Dynamic viscosity - Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density. (Measured in Poise)
Ionic Mobility - The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field. (Measured in Meter² per Volt Second)
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. (Measured in Volt)
STEP 1: Convert Input(s) to Base Unit
Dynamic viscosity: 10 Poise --> 1 Pascal Second (Check conversion here)
Ionic Mobility: 50 Meter² per Volt Second --> 50 Meter² per Volt Second No Conversion Required
Zeta Potential: 100 Volt --> 100 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εr = (4*pi*η*μ)/ζ --> (4*pi*1*50)/100
Evaluating ... ...
εr = 6.28318530717959
STEP 3: Convert Result to Output's Unit
6.28318530717959 --> No Conversion Required
6.28318530717959 <-- Relative Permittivity of Solvent
(Calculation completed in 00.000 seconds)

## < 4 Electrophoresis and other Electrokinetics Phenomena Calculators

Viscosity of Solvent given Zeta Potential using Smoluchowski equation
dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility) Go
Ionic Mobility given Zeta Potential using Smoluchowski equation
ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity) Go
Relative Permittivity of Solvent given Zeta Potential
relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential Go
Zeta Potential by using Smoluchowski equation
zeta_potential = (4*pi*Dynamic viscosity*Ionic Mobility)/Relative Permittivity of Solvent Go

### Relative Permittivity of Solvent given Zeta Potential Formula

relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential
εr = (4*pi*η*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*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 εr 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 (η), 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 -> 6.283185 = (4*pi*1*50)/100.

### 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 εr = (4*pi*η*μ)/ζ or relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential. Dynamic viscosity is the measurement of the fluid's internal resistance to flow while kinematic viscosity refers to the ratio of dynamic viscosity to density, 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*Ionic Mobility)/Zeta Potential. To calculate Relative Permittivity of Solvent given Zeta Potential, you need Dynamic viscosity (η), Ionic Mobility (μ) & Zeta Potential (ζ). With our tool, you need to enter the respective value for Dynamic viscosity, 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.
How many ways are there to calculate Relative Permittivity of Solvent?
In this formula, Relative Permittivity of Solvent uses Dynamic viscosity, Ionic Mobility & Zeta Potential. We can use 4 other way(s) to calculate the same, which is/are as follows -
• ionic_mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic viscosity)
• relative_permittivity_of_solvent = (4*pi*Dynamic viscosity*Ionic Mobility)/Zeta Potential
• dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)
• zeta_potential = (4*pi*Dynamic viscosity*Ionic Mobility)/Relative Permittivity of Solvent
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