FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Solute Concentration at Membrane Surface Formula

Fx Copy

LaTeX Copy

Solute concentration at membrane surface is defined as the concentration of solutes in the fluid immediately adjacent to the membrane surface. Check FAQs

C m = \frac{C b \cdot \exp (\frac{J w}{k l})}{R' + (1 - R') \cdot \exp (\frac{J w}{k l})}

C_m - Solute Concentration at Membrane Surface?C_b - Bulk Concentration?J_w - Water Flux?k_l - Mass Transfer Coefficient at Membrane Surface?R_' - Solute Rejection?

Solute Concentration at Membrane Surface Example

With values

With units

Only example

Here is how the Solute Concentration at Membrane Surface equation looks like with Values.

Here is how the Solute Concentration at Membrane Surface equation looks like with Units.

Here is how the Solute Concentration at Membrane Surface equation looks like.

6 = \frac{0.3 \cdot \exp (\frac{0.0001}{3E-5})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001}{3E-5})}

6 = \frac{0.3 \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-5cm/s})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-5cm/s})}

6 = \frac{0.3 \cdot \exp (\frac{0.0001}{3E-5})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001}{3E-5})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Mass Transfer Operations » fx Solute Concentration at Membrane Surface

Solute Concentration at Membrane Surface Solution

Follow our step by step solution on how to calculate Solute Concentration at Membrane Surface?

FIRST Step Consider the formula

C m = \frac{C b \cdot \exp (\frac{J w}{k l})}{R' + (1 - R') \cdot \exp (\frac{J w}{k l})}

Next Step Substitute values of Variables

∴

C m = \frac{0.3 \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-5cm/s})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-5cm/s})}

Next Step Convert Units

∴

C m = \frac{0.3 \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-7m/s})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001m³/(m²*s)}{3E-7m/s})}

Next Step Prepare to Evaluate

∴

C m = \frac{0.3 \cdot \exp (\frac{0.0001}{3E-7})}{0.95 + (1 - 0.95) \cdot \exp (\frac{0.0001}{3E-7})}

Next Step Evaluate

∴

C m = 5.99999999999999

LAST Step Rounding Answer

∴

C m = 6

Solute Concentration at Membrane Surface Formula Elements

Variables

Functions

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.

Symbol: C_m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solute Concentration at 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.

Symbol: C_b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bulk Concentration

Water Flux

Water flux is defined as the rate at which water flows through a membrane per unit area.

Symbol: J_w

Measurement: Membrane FluxUnit: m³/(m²*s)

Note: Value should be greater than 0.

Formulas to find Water Flux

Mass Transfer Coefficient at Membrane Surface

Mass transfer coefficient at membrane surface is defined as the measure of the rate at which solutes can diffuse through the membrane.

Symbol: k_l

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Mass Transfer Coefficient at Membrane Surface

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.

Symbol: R_'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solute Rejection

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

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}

How to Evaluate Solute Concentration at Membrane Surface?

Solute Concentration at Membrane Surface evaluator 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 evaluate 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 C_m symbol.

How to evaluate Solute Concentration at Membrane Surface using this online evaluator? To use this online evaluator for Solute Concentration at Membrane Surface, enter Bulk Concentration (C_b), Water Flux (J_w), Mass Transfer Coefficient at Membrane Surface (k_l) & Solute Rejection (R_') and hit the calculate button.

FAQs on Solute Concentration at Membrane Surface

What is the formula to find Solute Concentration at Membrane Surface?

The formula of Solute Concentration at Membrane Surface is expressed as 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)). Here is an example- 6 = (0.3*exp(0.0001139/3E-07))/(0.95+(1-0.95)*exp(0.0001139/3E-07)).

How to calculate Solute Concentration at Membrane Surface?

With Bulk Concentration (C_b), Water Flux (J_w), Mass Transfer Coefficient at Membrane Surface (k_l) & Solute Rejection (R_') we can find Solute Concentration at Membrane Surface using the 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)). This formula also uses Exponential Growth (exp) function(s).

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Solute Concentration at Membrane Surface Formula

Solute Concentration at Membrane Surface Example

Solute Concentration at Membrane Surface Solution

Solute Concentration at Membrane Surface Formula Elements

Other formulas in Membrane Characteristics category

How to Evaluate Solute Concentration at Membrane Surface?

FAQs on Solute Concentration at Membrane Surface

Variable Name