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Membrane Water Concentration Based on Solution Diffusion Model Formula

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Membrane water concentration (MWC) is the concentration of water in a membrane. It is typically measured in moles per cubic meter (kg/m^3). Check FAQs

C w = \frac{J wm \cdot [R] \cdot T \cdot l m}{D w \cdot V l \cdot (ΔP atm - Δπ)}

C_w - Membrane Water Concentration?J_wm - Mass Water Flux?T - Temperature?l_m - Membrane Layer Thickness?D_w - Membrane Water Diffusivity?V_l - Partial Molar Volume?ΔP_atm - Membrane Pressure Drop?Δπ - Osmotic Pressure?[R] - Universal gas constant?

Membrane Water Concentration Based on Solution Diffusion Model Example

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Here is how the Membrane Water Concentration Based on Solution Diffusion Model equation looks like with Values.

Here is how the Membrane Water Concentration Based on Solution Diffusion Model equation looks like with Units.

Here is how the Membrane Water Concentration Based on Solution Diffusion Model equation looks like.

156.0096 = \frac{6.3E-5 \cdot 8.3145 \cdot 298 \cdot 1.3E-5}{1.8E-10 \cdot 0.018 \cdot (81.32 - 39.5)}

156.0096kg/m³ = \frac{6.3E-5kg/s/m² \cdot 8.3145 \cdot 298K \cdot 1.3E-5m}{1.8E-10m²/s \cdot 0.018m³/kmol \cdot (81.32at - 39.5at)}

156.0096 = \frac{6.3E-5 \cdot 8.3145 \cdot 298 \cdot 1.3E-5}{1.8E-10 \cdot 0.018 \cdot (81.32 - 39.5)}

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Membrane Water Concentration Based on Solution Diffusion Model Solution

Follow our step by step solution on how to calculate Membrane Water Concentration Based on Solution Diffusion Model?

FIRST Step Consider the formula

C w = \frac{J wm \cdot [R] \cdot T \cdot l m}{D w \cdot V l \cdot (ΔP atm - Δπ)}

Next Step Substitute values of Variables

∴

C w = \frac{6.3E-5kg/s/m² \cdot [R] \cdot 298K \cdot 1.3E-5m}{1.8E-10m²/s \cdot 0.018m³/kmol \cdot (81.32at - 39.5at)}

Next Step Substitute values of Constants

∴

C w = \frac{6.3E-5kg/s/m² \cdot 8.3145 \cdot 298K \cdot 1.3E-5m}{1.8E-10m²/s \cdot 0.018m³/kmol \cdot (81.32at - 39.5at)}

Next Step Convert Units

∴

C w = \frac{6.3E-5kg/s/m² \cdot 8.3145 \cdot 298K \cdot 1.3E-5m}{1.8E-10m²/s \cdot 1.8E-5m³/mol \cdot (8E+6Pa - 3.9E+6Pa)}

Next Step Prepare to Evaluate

∴

C w = \frac{6.3E-5 \cdot 8.3145 \cdot 298 \cdot 1.3E-5}{1.8E-10 \cdot 1.8E-5 \cdot (8E+6 - 3.9E+6)}

Next Step Evaluate

∴

C w = 156.009569219896kg/m³

LAST Step Rounding Answer

∴

C w = 156.0096kg/m³

Membrane Water Concentration Based on Solution Diffusion Model Formula Elements

Variables

Constants

Membrane Water Concentration

Membrane water concentration (MWC) is the concentration of water in a membrane. It is typically measured in moles per cubic meter (kg/m^3).

Symbol: C_w

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Membrane Water Concentration

Mass Water Flux

Mass Water flux is defined as the rate of movement of water across a surface or through a medium.

Symbol: J_wm

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Mass Water Flux

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

Membrane Layer Thickness

Membrane Layer Thickness is the distance between the two outer surfaces of a membrane. It is typically measured in nanometers (nm), which are billionths of a meter.

Symbol: l_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Membrane Layer Thickness

Membrane Water Diffusivity

Membrane water diffusivity is the rate at which water molecules diffuse across a membrane. It is typically measured in square meters per second (m^2/s).

Symbol: D_w

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Membrane Water Diffusivity

Partial Molar Volume

The partial molar volume of a substance in a mixture is the change in volume of the mixture per mole of that substance added, at constant temperature and pressure.

Symbol: V_l

Measurement: Molar VolumeUnit: m³/kmol

Note: Value should be greater than 0.

Formulas to find Partial Molar Volume

Membrane Pressure Drop

Membrane pressure drop is the difference in pressure between the inlet and outlet of a membrane system, housing (pressure vessel), or element.

Symbol: ΔP_atm

Measurement: PressureUnit: at

Note: Value should be greater than 0.

Formulas to find Membrane Pressure Drop

Osmotic Pressure

Osmotic pressure is the minimum pressure that must be applied to a solution to prevent the inward flow of its pure solvent across a semipermeable membrane.

Symbol: Δπ

Measurement: PressureUnit: at

Note: Value should be greater than 0.

Formulas to find Osmotic Pressure

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 Manometers category

Go Vapor Pressure of Water using Saturation Humidity

P H2O = \frac{H s}{0.6207 + H s}

Go Piezometric Pressure

P = ρ water \cdot [g] \cdot L

How to Evaluate Membrane Water Concentration Based on Solution Diffusion Model?

Membrane Water Concentration Based on Solution Diffusion Model evaluator uses Membrane Water Concentration = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Partial Molar Volume*(Membrane Pressure Drop-Osmotic Pressure)) to evaluate the Membrane Water Concentration, Membrane Water Concentration Based on Solution Diffusion Model is a model for the transport of water and solutes through a membrane. It is based on the assumption that water and solutes dissolve in the membrane material and then diffuse through the membrane down a concentration gradient. Membrane Water Concentration is denoted by C_w symbol.

How to evaluate Membrane Water Concentration Based on Solution Diffusion Model using this online evaluator? To use this online evaluator for Membrane Water Concentration Based on Solution Diffusion Model, enter Mass Water Flux (J_wm), Temperature (T), Membrane Layer Thickness (l_m), Membrane Water Diffusivity (D_w), Partial Molar Volume (V_l), Membrane Pressure Drop (ΔP_atm) & Osmotic Pressure (Δπ) and hit the calculate button.

FAQs on Membrane Water Concentration Based on Solution Diffusion Model

What is the formula to find Membrane Water Concentration Based on Solution Diffusion Model?

The formula of Membrane Water Concentration Based on Solution Diffusion Model is expressed as Membrane Water Concentration = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Partial Molar Volume*(Membrane Pressure Drop-Osmotic Pressure)). Here is an example- 161.0943 = (6.3E-05*[R]*298*1.3E-05)/(1.762E-10*1.8E-05*(7974767.78-3873626.75)).

How to calculate Membrane Water Concentration Based on Solution Diffusion Model?

With Mass Water Flux (J_wm), Temperature (T), Membrane Layer Thickness (l_m), Membrane Water Diffusivity (D_w), Partial Molar Volume (V_l), Membrane Pressure Drop (ΔP_atm) & Osmotic Pressure (Δπ) we can find Membrane Water Concentration Based on Solution Diffusion Model using the formula - Membrane Water Concentration = (Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Partial Molar Volume*(Membrane Pressure Drop-Osmotic Pressure)). This formula also uses Universal gas constant .

Can the Membrane Water Concentration Based on Solution Diffusion Model be negative?

Yes, the Membrane Water Concentration Based on Solution Diffusion Model, measured in Density can be negative.

Which unit is used to measure Membrane Water Concentration Based on Solution Diffusion Model?

Membrane Water Concentration Based on Solution Diffusion Model is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Membrane Water Concentration Based on Solution Diffusion Model can be measured.

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Membrane Water Concentration Based on Solution Diffusion Model Formula

Membrane Water Concentration Based on Solution Diffusion Model Example

Membrane Water Concentration Based on Solution Diffusion Model Solution

Membrane Water Concentration Based on Solution Diffusion Model Formula Elements

Other formulas in Manometers category

How to Evaluate Membrane Water Concentration Based on Solution Diffusion Model?

FAQs on Membrane Water Concentration Based on Solution Diffusion Model

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