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Membrane Temperature Formula

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

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

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

Membrane Temperature Example

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Here is how the Membrane Temperature equation looks like with Values.

Here is how the Membrane Temperature equation looks like with Units.

Here is how the Membrane Temperature equation looks like.

297.9782 = 0.0001 \cdot \frac{(300000 \cdot 2.3E-8) - 5.7E-7}{8.3145 \cdot 2.3E-8 \cdot 0.018}

297.9782K = 0.0001m³ \cdot \frac{(300000Pa \cdot 2.3E-8m³/(m²*s*Pa)) - 5.7E-7m³/(m²*s)}{8.3145 \cdot 2.3E-8m³/(m²*s*Pa) \cdot 0.018kg/mol}

297.9782 = 0.0001 \cdot \frac{(300000 \cdot 2.3E-8) - 5.7E-7}{8.3145 \cdot 2.3E-8 \cdot 0.018}

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Membrane Temperature Solution

Follow our step by step solution on how to calculate Membrane Temperature?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 0.0001m³ \cdot \frac{(300000Pa \cdot 2.3E-8m³/(m²*s*Pa)) - 5.7E-7m³/(m²*s)}{[R] \cdot 2.3E-8m³/(m²*s*Pa) \cdot 0.018kg/mol}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

T = 297.978230459535K

LAST Step Rounding Answer

∴

T = 297.9782K

Membrane Temperature Formula Elements

Variables

Constants

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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}

See More

OpenImg

How to Evaluate Membrane Temperature?

Membrane Temperature evaluator uses Temperature = Initial Volume*((Applied Pressure Driving Force*Water Permeability Through Membrane)-Volumetric Water Flux Through Membrane)/([R]*Water Permeability Through Membrane*Molecular Weight) to evaluate the Temperature, The Membrane Temperature formula is defined as the Temperature of the membrane at a unit volumetric flux and applied pressure driving force. Temperature is denoted by T symbol.

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

FAQs on Membrane Temperature

What is the formula to find Membrane Temperature?

The formula of Membrane Temperature is expressed as Temperature = Initial Volume*((Applied Pressure Driving Force*Water Permeability Through Membrane)-Volumetric Water Flux Through Membrane)/([R]*Water Permeability Through Membrane*Molecular Weight). Here is an example- 297.9782 = 0.000148829*((300000*2.337E-08)-5.7E-07)/([R]*2.337E-08*0.01802).

How to calculate Membrane Temperature?

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

Can the Membrane Temperature be negative?

Yes, the Membrane Temperature, measured in Temperature can be negative.

Which unit is used to measure Membrane Temperature?

Membrane Temperature is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Membrane Temperature can be measured.

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