## Solute Concentration at Membrane Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Solute Concentration at Membrane Surface = (Bulk Concentration*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))
Cm = (Cb*exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl))
This formula uses 1 Functions, 5 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Solute Concentration at Membrane Surface - Solute concentration at membrane surface is defined as the concentration of solutes in the fluid immediately adjacent to the membrane surface.
Bulk Concentration - Bulk concentration is defined as the concentration of solutes in the bulk fluid, which is the fluid that is not in contact with the membrane.
Water Flux - (Measured in Cubic Meter per Square Meter per Second) - Water flux is defined as the rate at which water flows through a membrane per unit area.
Mass Transfer Coefficient at Membrane Surface - (Measured in Meter per Second) - Mass transfer coefficient at membrane surface is defined as the measure of the rate at which solutes can diffuse through the membrane.
Solute Rejection - Solute rejection is defined as the ability of a membrane to prevent the passage of solutes from a feed solution to the permeate solution.
STEP 1: Convert Input(s) to Base Unit
Bulk Concentration: 0.3 --> No Conversion Required
Water Flux: 0.0001139 Cubic Meter per Square Meter per Second --> 0.0001139 Cubic Meter per Square Meter per Second No Conversion Required
Mass Transfer Coefficient at Membrane Surface: 3E-05 Centimeter per Second --> 3E-07 Meter per Second (Check conversion ​here)
Solute Rejection: 0.95 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cm = (Cb*exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl)) --> (0.3*exp(0.0001139/3E-07))/(0.95+(1-0.95)*exp(0.0001139/3E-07))
Evaluating ... ...
Cm = 5.99999999999999
STEP 3: Convert Result to Output's Unit
5.99999999999999 --> No Conversion Required
5.99999999999999 6 <-- Solute Concentration at Membrane Surface
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 800+ 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

## Solute Concentration at Membrane Surface Formula

Solute Concentration at Membrane Surface = (Bulk Concentration*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))
Cm = (Cb*exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl))

## What are the Different Types of Membrane Processes?

Microfiltration (MF): This process uses membranes with pore sizes ranging from 0.1 to 10 micrometers to remove larger particles like bacteria, algae, and suspended solids from liquids. It's often used in pre-treatment for other membrane processes and in wastewater treatment.

Ultrafiltration (UF): UF membranes have smaller pore sizes (1-100 nm) and can remove colloids, viruses, and macromolecules like proteins from liquids. It's widely applied in food and beverage processing, pharmaceutical manufacturing, and water purification.

Nanofiltration (NF): NF membranes have even smaller pores (0.1-1 nm) and can separate smaller molecules like divalent ions and organic compounds from water. It's used in water softening, desalination, and wastewater treatment.

## How to Calculate Solute Concentration at Membrane Surface?

Solute Concentration at Membrane Surface calculator uses Solute Concentration at Membrane Surface = (Bulk Concentration*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)) to calculate the Solute Concentration at Membrane Surface, The solute concentration at membrane surface, also known as the surface concentration, refers to the concentration of a solute (dissolved substance) in the immediate vicinity of a membrane's interface with a bulk solution. Solute Concentration at Membrane Surface is denoted by Cm symbol.

How to calculate Solute Concentration at Membrane Surface using this online calculator? To use this online calculator for Solute Concentration at Membrane Surface, enter Bulk Concentration (Cb), Water Flux (Jw), Mass Transfer Coefficient at Membrane Surface (kl) & Solute Rejection (R') and hit the calculate button. Here is how the Solute Concentration at Membrane Surface calculation can be explained with given input values -> 6 = (0.3*exp(0.0001139/3E-07))/(0.95+(1-0.95)*exp(0.0001139/3E-07)).

### FAQ

What is Solute Concentration at Membrane Surface?
The solute concentration at membrane surface, also known as the surface concentration, refers to the concentration of a solute (dissolved substance) in the immediate vicinity of a membrane's interface with a bulk solution and is represented as Cm = (Cb*exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl)) or Solute Concentration at Membrane Surface = (Bulk Concentration*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)). Bulk concentration is defined as the concentration of solutes in the bulk fluid, which is the fluid that is not in contact with the membrane, Water flux is defined as the rate at which water flows through a membrane per unit area, Mass transfer coefficient at membrane surface is defined as the measure of the rate at which solutes can diffuse through the membrane & Solute rejection is defined as the ability of a membrane to prevent the passage of solutes from a feed solution to the permeate solution.
How to calculate Solute Concentration at Membrane Surface?
The solute concentration at membrane surface, also known as the surface concentration, refers to the concentration of a solute (dissolved substance) in the immediate vicinity of a membrane's interface with a bulk solution is calculated using Solute Concentration at Membrane Surface = (Bulk Concentration*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)). To calculate Solute Concentration at Membrane Surface, you need Bulk Concentration (Cb), Water Flux (Jw), Mass Transfer Coefficient at Membrane Surface (kl) & Solute Rejection (R'). With our tool, you need to enter the respective value for Bulk Concentration, Water Flux, Mass Transfer Coefficient at Membrane Surface & Solute Rejection and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know