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Initial Membrane Volume Formula

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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. Check FAQs

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

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

Initial Membrane Volume Example

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

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

Here is how the Initial Membrane Volume equation looks like.

0.0001 = \frac{8.3145 \cdot 298 \cdot 0.018}{300000 - (\frac{5.7E-7}{2.3E-8})}

0.0001m³ = \frac{8.3145 \cdot 298K \cdot 0.018kg/mol}{300000Pa - (\frac{5.7E-7m³/(m²*s)}{2.3E-8m³/(m²*s*Pa)})}

0.0001 = \frac{8.3145 \cdot 298 \cdot 0.018}{300000 - (\frac{5.7E-7}{2.3E-8})}

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Initial Membrane Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V 0 = \frac{[R] \cdot 298K \cdot 0.018kg/mol}{300000Pa - (\frac{5.7E-7m³/(m²*s)}{2.3E-8m³/(m²*s*Pa)})}

Next Step Substitute values of Constants

∴

V 0 = \frac{8.3145 \cdot 298K \cdot 0.018kg/mol}{300000Pa - (\frac{5.7E-7m³/(m²*s)}{2.3E-8m³/(m²*s*Pa)})}

Next Step Prepare to Evaluate

∴

V 0 = \frac{8.3145 \cdot 298 \cdot 0.018}{300000 - (\frac{5.7E-7}{2.3E-8})}

Next Step Evaluate

∴

V 0 = 0.000148839873072616m³

LAST Step Rounding Answer

∴

V 0 = 0.0001m³

Initial Membrane Volume Formula Elements

Variables

Constants

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

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

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

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

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

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 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}

Go Membrane Porosity

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

Go Membrane Thickness

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

How to Evaluate Initial Membrane Volume?

Initial Membrane Volume evaluator uses Initial Volume = ([R]*Temperature*Molecular Weight)/(Applied Pressure Driving Force-(Volumetric Water Flux Through Membrane/Water Permeability Through Membrane)) to evaluate the Initial Volume, Initial membrane volume is the volume of fluid that is present in a membrane before filtration or purification begins. Initial Volume is denoted by V₀ symbol.

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

FAQs on Initial Membrane Volume

What is the formula to find Initial Membrane Volume?

The formula of Initial Membrane Volume is expressed as Initial Volume = ([R]*Temperature*Molecular Weight)/(Applied Pressure Driving Force-(Volumetric Water Flux Through Membrane/Water Permeability Through Membrane)). Here is an example- 0.000149 = ([R]*298*0.01802)/(300000-(5.7E-07/2.337E-08)).

How to calculate Initial Membrane Volume?

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

Can the Initial Membrane Volume be negative?

Yes, the Initial Membrane Volume, measured in Volume can be negative.

Which unit is used to measure Initial Membrane Volume?

Initial Membrane Volume is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Initial Membrane Volume can be measured.

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Initial Membrane Volume Formula

Initial Membrane Volume Example

Initial Membrane Volume Solution

Initial Membrane Volume Formula Elements

Other formulas in Membrane Characteristics category

How to Evaluate Initial Membrane Volume?

FAQs on Initial Membrane Volume

Variable Name