## Bulk Concentration of Membrane Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bulk Concentration = (Solute Concentration at Membrane Surface)/((exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface)))
Cb = (Cm)/((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
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.
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.
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 Centimeter 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
Solute Concentration at Membrane Surface: 4.2 --> 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-05 Centimeter per Second No Conversion Required
Solute Rejection: 0.95 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cb = (Cm)/((exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl))) --> (4.2)/((exp(0.0001139/3E-05))/(0.95+(1-0.95)*exp(0.0001139/3E-05)))
Evaluating ... ...
Cb = 0.299557407408674
STEP 3: Convert Result to Output's Unit
0.299557407408674 --> No Conversion Required
0.299557407408674 0.299557 <-- Bulk Concentration
(Calculation completed in 00.004 seconds)
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## <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

## Bulk Concentration of Membrane Formula

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

## Where is the Application of Bulk Concentration of Membrane?

ulk membrane concentration can be used to concentrate a wide variety of solutes, including metals, organic compounds, and proteins. It is a particularly useful technique for concentrating solutes from dilute solutions, or for concentrating solutes that are difficult to concentrate using other methods.

## How to Calculate Bulk Concentration of Membrane?

Bulk Concentration of Membrane calculator uses Bulk Concentration = (Solute Concentration at Membrane Surface)/((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 Bulk Concentration, Bulk Concentration of Membrane is defined as a process of using a semipermeable membrane to separate a mixture of solutes into two or more fractions. Bulk Concentration is denoted by Cb symbol.

How to calculate Bulk Concentration of Membrane using this online calculator? To use this online calculator for Bulk Concentration of Membrane, enter Solute Concentration at Membrane Surface (Cm), Water Flux (Jw), Mass Transfer Coefficient at Membrane Surface (kl) & Solute Rejection (R') and hit the calculate button. Here is how the Bulk Concentration of Membrane calculation can be explained with given input values -> 0.21 = (4.2)/((exp(0.0001139/3E-07))/(0.95+(1-0.95)*exp(0.0001139/3E-07))).

### FAQ

What is Bulk Concentration of Membrane?
Bulk Concentration of Membrane is defined as a process of using a semipermeable membrane to separate a mixture of solutes into two or more fractions and is represented as Cb = (Cm)/((exp(Jw/kl))/(R'+(1-R')*exp(Jw/kl))) or Bulk Concentration = (Solute Concentration at Membrane Surface)/((exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))/(Solute Rejection+(1-Solute Rejection)*exp(Water Flux/Mass Transfer Coefficient at Membrane Surface))). Solute concentration at membrane surface is defined as the concentration of solutes in the fluid immediately adjacent to the membrane surface, 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 Bulk Concentration of Membrane?
Bulk Concentration of Membrane is defined as a process of using a semipermeable membrane to separate a mixture of solutes into two or more fractions is calculated using Bulk Concentration = (Solute Concentration at Membrane Surface)/((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 Bulk Concentration of Membrane, you need Solute Concentration at Membrane Surface (Cm), Water Flux (Jw), Mass Transfer Coefficient at Membrane Surface (kl) & Solute Rejection (R'). With our tool, you need to enter the respective value for Solute Concentration at Membrane Surface, 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.
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