## Osmotic Pressure Drop Based on Solution Diffusion Model Solution

STEP 0: Pre-Calculation Summary
Formula Used
Osmotic Pressure = Membrane Pressure Drop-((Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume))
Δπ = ΔPatm-((Jwm*[R]*T*lm)/(Dw*Cw*Vl))
This formula uses 1 Constants, 8 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Osmotic Pressure - (Measured in Pascal) - 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.
Membrane Pressure Drop - (Measured in Pascal) - Membrane pressure drop is the difference in pressure between the inlet and outlet of a membrane system, housing (pressure vessel), or element.
Mass Water Flux - (Measured in Kilogram per Second per Square Meter) - Mass Water flux is defined as the rate of movement of water across a surface or through a medium.
Temperature - (Measured in Kelvin) - Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness.
Membrane Layer Thickness - (Measured in Meter) - 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.
Membrane Water Diffusivity - (Measured in Square Meter per Second) - 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).
Membrane Water Concentration - (Measured in Kilogram per Cubic Meter) - Membrane water concentration (MWC) is the concentration of water in a membrane. It is typically measured in moles per cubic meter (kg/m^3).
Partial Molar Volume - (Measured in Cubic Meter per Mole) - 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.
STEP 1: Convert Input(s) to Base Unit
Membrane Pressure Drop: 81.32 Atmosphere Technical --> 7974767.78 Pascal (Check conversion ​here)
Mass Water Flux: 6.3E-05 Kilogram per Second per Square Meter --> 6.3E-05 Kilogram per Second per Square Meter No Conversion Required
Temperature: 298 Kelvin --> 298 Kelvin No Conversion Required
Membrane Layer Thickness: 1.3E-05 Meter --> 1.3E-05 Meter No Conversion Required
Membrane Water Diffusivity: 1.762E-10 Square Meter per Second --> 1.762E-10 Square Meter per Second No Conversion Required
Membrane Water Concentration: 156 Kilogram per Cubic Meter --> 156 Kilogram per Cubic Meter No Conversion Required
Partial Molar Volume: 0.018 Cubic Meter per Kilomole --> 1.8E-05 Cubic Meter per Mole (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Δπ = ΔPatm-((Jwm*[R]*T*lm)/(Dw*Cw*Vl)) --> 7974767.78-((6.3E-05*[R]*298*1.3E-05)/(1.762E-10*156*1.8E-05))
Evaluating ... ...
Δπ = 3873375.18127988
STEP 3: Convert Result to Output's Unit
3873375.18127988 Pascal -->39.4974347129741 Atmosphere Technical (Check conversion ​here)
39.4974347129741 39.49743 Atmosphere Technical <-- Osmotic Pressure
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Shri Guru Gobind Singhji Institute of Engineering and Technology (SGGS), Nanded
Harsh Kadam has created this Calculator and 50+ more calculators!
Verified by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has verified this Calculator and 200+ more calculators!

## <Membrane Characteristics Calculators

Membrane Pore Diameter
​ Go Pore Diameter = ((32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Membrane Porosity*Applied Pressure Driving Force))^0.5
Membrane Thickness
​ Go Membrane Thickness = (Pore Diameter^2*Membrane Porosity*Applied Pressure Driving Force)/(32*Liquid Viscosity*Flux through Membrane*Tortuosity)
Membrane Porosity
​ Go Membrane Porosity = (32*Liquid Viscosity*Flux through Membrane*Tortuosity*Membrane Thickness)/(Pore Diameter^2*Applied Pressure Driving Force)
Pressure Driving Force in Membrane
​ Go Applied Pressure Driving Force = Membrane Flow Resistance of Unit Area*Liquid Viscosity*Flux through Membrane

## Osmotic Pressure Drop Based on Solution Diffusion Model Formula

Osmotic Pressure = Membrane Pressure Drop-((Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume))
Δπ = ΔPatm-((Jwm*[R]*T*lm)/(Dw*Cw*Vl))

## What is Osmotic Pressure?

Osmotic pressure is the pressure that must be applied to a semipermeable membrane to prevent the inward flow of its pure solvent across the membrane. It is a colligative property, meaning that it depends on the concentration of the solute in the solution, but not on its identity. Osmotic pressure is a result of the difference in chemical potential of the solvent between the two sides of the membrane. The chemical potential of a solvent is a measure of its tendency to move from one region to another. In a solution, the chemical potential of the solvent is lower than in pure solvent, due to the presence of the solute. The greater the concentration of the solute, the lower the chemical potential of the solvent.

## How to Calculate Osmotic Pressure Drop Based on Solution Diffusion Model?

Osmotic Pressure Drop Based on Solution Diffusion Model calculator uses Osmotic Pressure = Membrane Pressure Drop-((Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume)) to calculate the Osmotic Pressure, Osmotic Pressure Drop Based on Solution Diffusion Model is defined as the difference in pressure between the feed and permeate sides of a semi-permeable membrane due to the osmotic pressure of the feed solution. Osmotic Pressure is denoted by Δπ symbol.

How to calculate Osmotic Pressure Drop Based on Solution Diffusion Model using this online calculator? To use this online calculator for Osmotic Pressure Drop Based on Solution Diffusion Model, enter Membrane Pressure Drop (ΔPatm), Mass Water Flux (Jwm), Temperature (T), Membrane Layer Thickness (lm), Membrane Water Diffusivity (Dw), Membrane Water Concentration (Cw) & Partial Molar Volume (Vl) and hit the calculate button. Here is how the Osmotic Pressure Drop Based on Solution Diffusion Model calculation can be explained with given input values -> 0.000389 = 7974767.78-((6.3E-05*[R]*298*1.3E-05)/(1.762E-10*156*1.8E-05)).

### FAQ

What is Osmotic Pressure Drop Based on Solution Diffusion Model?
Osmotic Pressure Drop Based on Solution Diffusion Model is defined as the difference in pressure between the feed and permeate sides of a semi-permeable membrane due to the osmotic pressure of the feed solution and is represented as Δπ = ΔPatm-((Jwm*[R]*T*lm)/(Dw*Cw*Vl)) or Osmotic Pressure = Membrane Pressure Drop-((Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume)). Membrane pressure drop is the difference in pressure between the inlet and outlet of a membrane system, housing (pressure vessel), or element, Mass Water flux is defined as the rate of movement of water across a surface or through a medium, Temperature is a physical quantity that expresses quantitatively the attribute of hotness or coldness, 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, 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), Membrane water concentration (MWC) is the concentration of water in a membrane. It is typically measured in moles per cubic meter (kg/m^3) & 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.
How to calculate Osmotic Pressure Drop Based on Solution Diffusion Model?
Osmotic Pressure Drop Based on Solution Diffusion Model is defined as the difference in pressure between the feed and permeate sides of a semi-permeable membrane due to the osmotic pressure of the feed solution is calculated using Osmotic Pressure = Membrane Pressure Drop-((Mass Water Flux*[R]*Temperature*Membrane Layer Thickness)/(Membrane Water Diffusivity*Membrane Water Concentration*Partial Molar Volume)). To calculate Osmotic Pressure Drop Based on Solution Diffusion Model, you need Membrane Pressure Drop (ΔPatm), Mass Water Flux (Jwm), Temperature (T), Membrane Layer Thickness (lm), Membrane Water Diffusivity (Dw), Membrane Water Concentration (Cw) & Partial Molar Volume (Vl). With our tool, you need to enter the respective value for Membrane Pressure Drop, Mass Water Flux, Temperature, Membrane Layer Thickness, Membrane Water Diffusivity, Membrane Water Concentration & Partial Molar Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know