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Water Permeability based on Initial flux Formula

GoWater Permeability through Membrane Formula

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Water permeability through membrane is the ability of a material to allow water to pass through it. It is a measure of how easily water can flow through a material's pores. Check FAQs

L p = \frac{J wv}{ΔP m \cdot (1 - (\frac{[R] \cdot T \cdot n 0}{V 0 \cdot ΔP m}))}

L_p - Water Permeability Through Membrane?J_wv - Volumetric Water Flux Through Membrane?ΔP_m - Applied Pressure Driving Force?T - Temperature?n₀ - Molecular Weight?V₀ - Initial Volume?[R] - Universal gas constant?

Water Permeability based on Initial flux Example

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Here is how the Water Permeability based on Initial flux equation looks like with Values.

Here is how the Water Permeability based on Initial flux equation looks like with Units.

Here is how the Water Permeability based on Initial flux equation looks like.

2.3E-7 = \frac{5.7E-7}{300000 \cdot (1 - (\frac{8.3145 \cdot 298 \cdot 0.018}{0.0001 \cdot 300000}))}

2.3E-7m³/(m²*s*Pa) = \frac{5.7E-7m³/(m²*s)}{300000Pa \cdot (1 - (\frac{8.3145 \cdot 298K \cdot 0.018kg/mol}{0.0001m³ \cdot 300000Pa}))}

2.3E-7 = \frac{5.7E-7}{300000 \cdot (1 - (\frac{8.3145 \cdot 298 \cdot 0.018}{0.0001 \cdot 300000}))}

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Water Permeability based on Initial flux Solution

Follow our step by step solution on how to calculate Water Permeability based on Initial flux?

FIRST Step Consider the formula

L p = \frac{J wv}{ΔP m \cdot (1 - (\frac{[R] \cdot T \cdot n 0}{V 0 \cdot ΔP m}))}

Next Step Substitute values of Variables

∴

L p = \frac{5.7E-7m³/(m²*s)}{300000Pa \cdot (1 - (\frac{[R] \cdot 298K \cdot 0.018kg/mol}{0.0001m³ \cdot 300000Pa}))}

Next Step Substitute values of Constants

∴

L p = \frac{5.7E-7m³/(m²*s)}{300000Pa \cdot (1 - (\frac{8.3145 \cdot 298K \cdot 0.018kg/mol}{0.0001m³ \cdot 300000Pa}))}

Next Step Prepare to Evaluate

∴

L p = \frac{5.7E-7}{300000 \cdot (1 - (\frac{8.3145 \cdot 298 \cdot 0.018}{0.0001 \cdot 300000}))}

Next Step Evaluate

∴

L p = 2.30323510248994E-07m³/(m²*s*Pa)

LAST Step Rounding Answer

∴

L p = 2.3E-7m³/(m²*s*Pa)

Water Permeability based on Initial flux Formula Elements

Variables

Constants

Water Permeability Through Membrane

Water permeability through membrane is the ability of a material to allow water to pass through it. It is a measure of how easily water can flow through a material's pores.

Symbol: L_p

Measurement: Water PermeabilityUnit: m³/(m²*s*Pa)

Note: Value should be greater than 0.

Formulas to find Water Permeability Through Membrane

Volumetric Water Flux Through Membrane

Volumetric Water flux through membrane is the rate at which water flows through a given area of a material per unit of time.

Symbol: J_wv

Measurement: Membrane FluxUnit: m³/(m²*s)

Note: Value should be greater than 0.

Formulas to find Volumetric Water Flux Through Membrane

Applied Pressure Driving Force

Applied Pressure Driving Force is defined as the force or pressure that is intentionally exerted or applied to induce or facilitate process.

Symbol: ΔP_m

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Applied Pressure Driving Force

Temperature

Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value should be greater than 274.15.

Formulas to find Temperature

Molecular Weight

Molecular weight is the mass of a molecule, relative to the mass of a carbon-12 atom. It is also known as molecular mass.

Symbol: n₀

Measurement: Molar MassUnit: kg/mol

Note: Value should be greater than 0.

Formulas to find Molecular Weight

Initial Volume

Initial volume is the volume of a substance at a specific time or point in time. It is often used in fluid mechanics to describe the volume of a fluid at the beginning of a process or experiment.

Symbol: V₀

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Initial Volume

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Water Permeability Through Membrane

Go Water Permeability through Membrane

L p = \frac{J wM}{ΔP m}

Other formulas in Basics of Membrane Separation Processes category

Go Hagen Poiseuille Based Flux for Membrane Separation

J wM = \frac{ε \cdot d^{2} \cdot ΔP m}{32 \cdot μ \cdot Τ \cdot l mt}

Go Resistance to flow in Membranes

R m = \frac{ΔP m}{μ \cdot J wM}

Go Liquid Viscosity based on Membrane Resistance

μ = \frac{ΔP m}{R m \cdot J wM}

Go Membrane Flux Based on Resistance

J wM = \frac{ΔP m}{R m \cdot μ}

How to Evaluate Water Permeability based on Initial flux?

Water Permeability based on Initial flux evaluator uses Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))) to evaluate the Water Permeability Through Membrane, Water permeability based on Initial flux is defined as the measure of how easily water can flow through a porous material based on the Initial flux of the Membrane. Water Permeability Through Membrane is denoted by L_p symbol.

How to evaluate Water Permeability based on Initial flux using this online evaluator? To use this online evaluator for Water Permeability based on Initial flux, enter Volumetric Water Flux Through Membrane (J_wv), Applied Pressure Driving Force (ΔP_m), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) and hit the calculate button.

FAQs on Water Permeability based on Initial flux

What is the formula to find Water Permeability based on Initial flux?

The formula of Water Permeability based on Initial flux is expressed as Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))). Here is an example- 1.9E-7 = 5.7E-07/(300000*(1-(([R]*298*0.01802)/(0.000148829*300000)))).

How to calculate Water Permeability based on Initial flux?

With Volumetric Water Flux Through Membrane (J_wv), Applied Pressure Driving Force (ΔP_m), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) we can find Water Permeability based on Initial flux using the formula - Water Permeability Through Membrane = Volumetric Water Flux Through Membrane/(Applied Pressure Driving Force*(1-(([R]*Temperature*Molecular Weight)/(Initial Volume*Applied Pressure Driving Force)))). This formula also uses Universal gas constant .

What are the other ways to Calculate Water Permeability Through Membrane?

Here are the different ways to Calculate Water Permeability Through Membrane-

Water Permeability Through Membrane=Flux through Membrane/Applied Pressure Driving Force

Can the Water Permeability based on Initial flux be negative?

Yes, the Water Permeability based on Initial flux, measured in Water Permeability can be negative.

Which unit is used to measure Water Permeability based on Initial flux?

Water Permeability based on Initial flux is usually measured using the Cubic Meter per Square Meter per Second per Pascal[m³/(m²*s*Pa)] for Water Permeability. are the few other units in which Water Permeability based on Initial flux can be measured.

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Water Permeability based on Initial flux Formula

​GoWater Permeability through Membrane Formula

Water Permeability based on Initial flux Example

Water Permeability based on Initial flux Solution

Water Permeability based on Initial flux Formula Elements

Other Formulas to find Water Permeability Through Membrane

Other formulas in Basics of Membrane Separation Processes category

How to Evaluate Water Permeability based on Initial flux?

FAQs on Water Permeability based on Initial flux

Variable Name

GoWater Permeability through Membrane Formula