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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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National Institute of Technology, Meghalaya (NIT), Meghalaya
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## Viscosity of Solvent given Zeta Potential using Smoluchowski equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)
η = (ζ*εr)/(4*pi*μ)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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)
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.
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)
STEP 1: Convert Input(s) to Base Unit
Zeta Potential: 100 Volt --> 100 Volt No Conversion Required
Relative Permittivity of Solvent: 150 --> No Conversion Required
Ionic Mobility: 50 Meter² per Volt Second --> 50 Meter² per Volt Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
η = (ζ*εr)/(4*pi*μ) --> (100*150)/(4*pi*50)
Evaluating ... ...
η = 23.8732414637843
STEP 3: Convert Result to Output's Unit
23.8732414637843 Pascal Second -->238.732414637843 Poise (Check conversion here)
238.732414637843 Poise <-- Dynamic viscosity
(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

### Viscosity of Solvent given Zeta Potential using Smoluchowski equation Formula

dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)
η = (ζ*εr)/(4*pi*μ)

## 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 can we determine Zeta Potential?

Zeta Potential is determined by measuring the relative movement, with respect to one another, of a solid and liquid accompanied by certain electrical phenomena which are referred to as electrokinetic effect. These phenomena are ascribed to the presence of a potential difference at the interface between any two phases at which movement occurs; this potential is known as the electrokinetic potential or, frequently, as the Zeta Potential.

## How to Calculate Viscosity of Solvent given Zeta Potential using Smoluchowski equation?

Viscosity of Solvent given Zeta Potential using Smoluchowski equation calculator uses dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility) to calculate the Dynamic viscosity, The Viscosity of Solvent given Zeta Potential using Smoluchowski equation is defined as a measure of a fluid's resistance to flow. Dynamic viscosity is denoted by η symbol.

How to calculate Viscosity of Solvent given Zeta Potential using Smoluchowski equation using this online calculator? To use this online calculator for Viscosity of Solvent given Zeta Potential using Smoluchowski equation, enter Zeta Potential (ζ), Relative Permittivity of Solvent r) & Ionic Mobility (μ) and hit the calculate button. Here is how the Viscosity of Solvent given Zeta Potential using Smoluchowski equation calculation can be explained with given input values -> 238.7324 = (100*150)/(4*pi*50).

### FAQ

What is Viscosity of Solvent given Zeta Potential using Smoluchowski equation?
The Viscosity of Solvent given Zeta Potential using Smoluchowski equation is defined as a measure of a fluid's resistance to flow and is represented as η = (ζ*εr)/(4*pi*μ) or dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility). 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, 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 & The Ionic Mobility is described as the speed achieved by an ion moving through a gas under a unit electric field.
How to calculate Viscosity of Solvent given Zeta Potential using Smoluchowski equation?
The Viscosity of Solvent given Zeta Potential using Smoluchowski equation is defined as a measure of a fluid's resistance to flow is calculated using dynamic_viscosity = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility). To calculate Viscosity of Solvent given Zeta Potential using Smoluchowski equation, you need Zeta Potential (ζ), Relative Permittivity of Solvent r) & Ionic Mobility (μ). With our tool, you need to enter the respective value for Zeta Potential, Relative Permittivity of Solvent & Ionic Mobility 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 Dynamic viscosity?
In this formula, Dynamic viscosity uses Zeta Potential, Relative Permittivity of Solvent & Ionic Mobility. 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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