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Initial Flux of Membrane Formula

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

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

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

Initial Flux of Membrane Example

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Here is how the Initial Flux of Membrane equation looks like with Values.

Here is how the Initial Flux of Membrane equation looks like with Units.

Here is how the Initial Flux of Membrane equation looks like.

4.5E-7 = (2.3E-8 \cdot 300000) \cdot (1 - ((8.314) \cdot 298 \cdot \frac{0.018}{0.0001} \cdot (\frac{1}{300000})))

4.5E-7m³/(m²*s) = (2.3E-8m³/(m²*s*Pa) \cdot 300000Pa) \cdot (1 - ((8.314) \cdot 298K \cdot \frac{0.018kg/mol}{0.0001m³} \cdot (\frac{1}{300000Pa})))

4.5E-7 = (2.3E-8 \cdot 300000) \cdot (1 - ((8.314) \cdot 298 \cdot \frac{0.018}{0.0001} \cdot (\frac{1}{300000})))

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Initial Flux of Membrane

Initial Flux of Membrane Solution

Follow our step by step solution on how to calculate Initial Flux of Membrane?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

J wv = (2.3E-8m³/(m²*s*Pa) \cdot 300000Pa) \cdot (1 - ((8.314) \cdot 298K \cdot \frac{0.018kg/mol}{0.0001m³} \cdot (\frac{1}{300000Pa})))

Next Step Prepare to Evaluate

∴

J wv = (2.3E-8 \cdot 300000) \cdot (1 - ((8.314) \cdot 298 \cdot \frac{0.018}{0.0001} \cdot (\frac{1}{300000})))

Next Step Evaluate

∴

J wv = 4.47925654274254E-07m³/(m²*s)

LAST Step Rounding Answer

∴

J wv = 4.5E-7m³/(m²*s)

Initial Flux of Membrane Formula Elements

Variables

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.

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.

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.

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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.

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.

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.

Credits

Created by Harsh Kadam

Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded

Harsh Kadam has created this Formula and 50+ more formulas!

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has verified this Formula and 200+ more formulas!

Other formulas in Membrane Characteristics category

Go Pressure Driving Force in Membrane

ΔP m = R m \cdot μ \cdot J wM

Go Membrane Pore Diameter

d = {(\frac{32 \cdot μ \cdot J wM \cdot Τ \cdot l mt}{ε \cdot ΔP m})}^{0.5}

How to Evaluate Initial Flux of Membrane?

Initial Flux of Membrane evaluator uses Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))) to evaluate the Volumetric Water Flux Through Membrane, The Initial Flux of Membrane formula is defined as the rate of solute transport through a membrane at the beginning of a filtration process. Volumetric Water Flux Through Membrane is denoted by J_wv symbol.

How to evaluate Initial Flux of Membrane using this online evaluator? To use this online evaluator for Initial Flux of Membrane, enter Water Permeability Through Membrane (L_p), Applied Pressure Driving Force (ΔP_m), Universal Gas Constant (R), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) and hit the calculate button.

FAQs on Initial Flux of Membrane

What is the formula to find Initial Flux of Membrane?

The formula of Initial Flux of Membrane is expressed as Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))). Here is an example- 4.5E-7 = (2.337E-08*300000)*(1-((8.314)*298*0.01802/0.000148829*(1/300000))).

How to calculate Initial Flux of Membrane?

With Water Permeability Through Membrane (L_p), Applied Pressure Driving Force (ΔP_m), Universal Gas Constant (R), Temperature (T), Molecular Weight (n₀) & Initial Volume (V₀) we can find Initial Flux of Membrane using the formula - Volumetric Water Flux Through Membrane = (Water Permeability Through Membrane*Applied Pressure Driving Force)*(1-((Universal Gas Constant)*Temperature*Molecular Weight/Initial Volume*(1/Applied Pressure Driving Force))).

Can the Initial Flux of Membrane be negative?

Yes, the Initial Flux of Membrane, measured in Membrane Flux can be negative.

Which unit is used to measure Initial Flux of Membrane?

Initial Flux of Membrane is usually measured using the Cubic Meter per Square Meter per Second[m³/(m²*s)] for Membrane Flux. are the few other units in which Initial Flux of Membrane can be measured.

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Initial Flux of Membrane Formula

Initial Flux of Membrane Example

Initial Flux of Membrane Solution

Initial Flux of Membrane Formula Elements

Credits

Other formulas in Membrane Characteristics category

How to Evaluate Initial Flux of Membrane?

FAQs on Initial Flux of Membrane

Variable Name