Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Calculator

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Colloidal Structures in Surfactant Solutions

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Electrophoresis and other Electrokinetics Phenomena

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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.ⓘ 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 [ε_r]			+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%

✖The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.ⓘ Viscosity of Solvent given Zeta Potential using Smoluchowski Equation [μ_liquid]

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Formula

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

Formula

`"μ"_{"liquid"} = ("ζ"*"ε"_{"r"})/(4*pi*"μ")`

Example

`"202.4962P"=("95V"*"150")/(4*pi*"56m²/V*s")`

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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 - (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.

STEP 1: Convert Input(s) to Base Unit

Zeta Potential: 95 Volt --> 95 Volt No Conversion Required
Relative Permittivity of Solvent: 150 --> No Conversion Required
Ionic Mobility: 56 Square Meter per Volt per Second --> 56 Square Meter per Volt per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_liquid = (ζ*ε_r)/(4*pi*μ) --> (95*150)/(4*pi*56)

Evaluating ... ...

μ_liquid = 20.2496244558885

STEP 3: Convert Result to Output's Unit

20.2496244558885 Pascal Second -->202.496244558885 Poise (Check conversion here)

FINAL ANSWER

202.496244558885 ≈ 202.4962 Poise <-- Dynamic Viscosity of Liquid

(Calculation completed in 00.021 seconds)

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

Go Dynamic Viscosity of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)

Ionic Mobility given Zeta Potential using Smoluchowski Equation

Go Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid)

Relative Permittivity of Solvent given Zeta Potential

Go Relative Permittivity of Solvent = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Zeta Potential

Zeta Potential using Smoluchowski Equation

Go Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent

Drift Velocity of Dispersed Particle given Electrophoretic Mobility

Go Drift Velocity of Dispersed Particle = Electrophoretic Mobility*Electric Field Intensity

Electric Field Intensity given Electrophoretic Mobility

Go Electric Field Intensity = Drift Velocity of Dispersed Particle/Electrophoretic Mobility

Electrophoretic Mobility of Particle

Go Electrophoretic Mobility = Drift Velocity of Dispersed Particle/Electric Field Intensity

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Formula

Dynamic Viscosity of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility)
μ_liquid = (ζ*ε_r)/(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 of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility) to calculate the Dynamic Viscosity of Liquid, The Viscosity of Solvent given Zeta Potential using Smoluchowski equation is defined as a measure of a fluid's resistance to flow. Dynamic Viscosity of Liquid is denoted by μ_liquid 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 (ε_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 -> 2024.962 = (95*150)/(4*pi*56).

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 μ_liquid = (ζ*ε_r)/(4*pi*μ) or Dynamic Viscosity of Liquid = (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 of Liquid = (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 (ε_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.

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