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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Formula

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The Dynamic Viscosity of Liquid is the measure of its resistance to flow when an external force is applied. Check FAQs

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

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

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Example

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Here is how the Viscosity of Solvent given Zeta Potential using Smoluchowski Equation equation looks like with Values.

Here is how the Viscosity of Solvent given Zeta Potential using Smoluchowski Equation equation looks like with Units.

Here is how the Viscosity of Solvent given Zeta Potential using Smoluchowski Equation equation looks like.

202.4962 = \frac{95 \cdot 150}{4 \cdot 3.1416 \cdot 56}

202.4962P = \frac{95V \cdot 150}{4 \cdot 3.1416 \cdot 56m²/V*s}

202.4962 = \frac{95 \cdot 150}{4 \cdot 3.1416 \cdot 56}

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Solution

Follow our step by step solution on how to calculate Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ liquid = \frac{95V \cdot 150}{4 \cdot π \cdot 56m²/V*s}

Next Step Substitute values of Constants

∴

μ liquid = \frac{95V \cdot 150}{4 \cdot 3.1416 \cdot 56m²/V*s}

Next Step Prepare to Evaluate

∴

μ liquid = \frac{95 \cdot 150}{4 \cdot 3.1416 \cdot 56}

Next Step Evaluate

∴

μ liquid = 20.2496244558885Pa*s

Next Step Convert to Output's Unit

∴

μ liquid = 202.496244558885P

LAST Step Rounding Answer

∴

μ liquid = 202.4962P

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Formula Elements

Variables

Constants

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.

Formulas to find Dynamic Viscosity of Liquid

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.

Formulas to find Zeta Potential

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.

Formulas to find Relative Permittivity of Solvent

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.

Formulas to find Ionic Mobility

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

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 Relative Permittivity of Solvent given Zeta Potential

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

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 Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation evaluator uses Dynamic Viscosity of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility) to evaluate 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 evaluate Viscosity of Solvent given Zeta Potential using Smoluchowski Equation using this online evaluator? To use this online evaluator 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.

FAQs on Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

What is the formula to find Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

The formula of Viscosity of Solvent given Zeta Potential using Smoluchowski Equation is expressed as Dynamic Viscosity of Liquid = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Ionic Mobility). Here is an example- 2024.962 = (95*150)/(4*pi*56).

How to calculate Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

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

Can the Viscosity of Solvent given Zeta Potential using Smoluchowski Equation be negative?

No, the Viscosity of Solvent given Zeta Potential using Smoluchowski Equation, measured in Dynamic Viscosity cannot be negative.

Which unit is used to measure Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation is usually measured using the Poise[P] for Dynamic Viscosity. Pascal Second[P], Newton Second per Square Meter[P], Millinewton Second per Square Meter[P] are the few other units in which Viscosity of Solvent given Zeta Potential using Smoluchowski Equation can be measured.

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Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Formula

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Example

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Solution

Viscosity of Solvent given Zeta Potential using Smoluchowski Equation Formula Elements

Other formulas in Electrophoresis and other Electrokinetics Phenomena category

How to Evaluate Viscosity of Solvent given Zeta Potential using Smoluchowski Equation?

FAQs on Viscosity of Solvent given Zeta Potential using Smoluchowski Equation

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