Number of Moles of Surfactant given Critical Micelle Concentration Calculator

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Colloidal Structures in Surfactant Solutions

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Critical Packing Parameter

Electrophoresis and other Electrokinetics Phenomena

Micellar Aggregation Number

Specific Surface Area

Tanford Equation

✖Total Concentration of surfactant is defined as the abundance of a constituent divided by the total volume of a mixture.ⓘ Total Concentration of Surfactant [c]			+10% -10%
✖The Critical Micelle Concentration is defined as the threshold concentration at which micellization begins.ⓘ Critical Micelle Concentration [c_CMC]			+10% -10%
✖The Degree of Aggregation of Micelle is defined as the ratio of the concentrations of surfactant to the number of moles of surfactant.ⓘ Degree of Aggregation of Micelle [n]			+10% -10%

✖Number of Moles of Surfactant is defined as a measure or the base unit for the amount of substance present in the given sample.ⓘ Number of Moles of Surfactant given Critical Micelle Concentration [[M]]

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Formula

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Number of Moles of Surfactant given Critical Micelle Concentration

Formula

`"[M]" = ("c"-"c"_{"CMC"})/"n"`

Example

`"3.428571mol"=("50mol/L"-"2mol/L")/"14/L"`

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Number of Moles of Surfactant given Critical Micelle Concentration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle
[M] = (c-c_CMC)/n
This formula uses 4 Variables

Variables Used

Number of Moles of Surfactant - (Measured in Mole) - Number of Moles of Surfactant is defined as a measure or the base unit for the amount of substance present in the given sample.
Total Concentration of Surfactant - (Measured in Mole per Cubic Meter) - Total Concentration of surfactant is defined as the abundance of a constituent divided by the total volume of a mixture.
Critical Micelle Concentration - (Measured in Mole per Cubic Meter) - The Critical Micelle Concentration is defined as the threshold concentration at which micellization begins.
Degree of Aggregation of Micelle - (Measured in 1 per Cubic Meter) - The Degree of Aggregation of Micelle is defined as the ratio of the concentrations of surfactant to the number of moles of surfactant.

STEP 1: Convert Input(s) to Base Unit

Total Concentration of Surfactant: 50 Mole per Liter --> 50000 Mole per Cubic Meter (Check conversion here)
Critical Micelle Concentration: 2 Mole per Liter --> 2000 Mole per Cubic Meter (Check conversion here)
Degree of Aggregation of Micelle: 14 per Liter --> 14000 1 per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[M] = (c-c_CMC)/n --> (50000-2000)/14000

Evaluating ... ...

[M] = 3.42857142857143

STEP 3: Convert Result to Output's Unit

3.42857142857143 Mole --> No Conversion Required

FINAL ANSWER

3.42857142857143 ≈ 3.428571 Mole <-- Number of Moles of Surfactant

(Calculation completed in 00.004 seconds)

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< 5 Critical Packing Parameter Calculators

Number of Moles of Surfactant given Critical Micelle Concentration

Go Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle

Optimal Head Group Area given Critical Packing Parameter

Go Optimal Area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)

Length given Critical Packing Parameter

Go Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area)

Critical Packing Parameter

Go Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)

Volume of Surfactant Tail given Critical Packing Parameter

Go Surfactant Tail Volume = Critical Packing Parameter*Optimal Area*Tail Length

< 16 Important Formulas of Colloids Calculators

Surface Enthalpy given Critical Temperature

Go Surface Enthalpy = (Constant for each Liquid)*(1-(Temperature/Critical Temperature))^(Empirical Factor-1)*(1+((Empirical Factor-1)*(Temperature/Critical Temperature)))

Surface Entropy given Critical Temperature

Go Surface Entropy = Empirical Factor*Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)-(1/Critical Temperature)

Ionic Mobility given Zeta Potential using Smoluchowski Equation

Go Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid)

Number of Moles of Surfactant given Critical Micelle Concentration

Go Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle

Zeta Potential using Smoluchowski Equation

Go Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent

Micellar Core Radius given Micellar Aggregation Number

Go Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)

Volume of Hydrophobic Tail given Micellar Aggregation Number

Go Volume of Hydrophobic Tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number

Micellar Aggregation Number

Go Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail

Critical Packing Parameter

Go Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)

Specific Surface Area for array of n Cylindrical Particles

Go Specific Surface Area = (2/Density)*((1/Cylinder Radius)+(1/Length))

Electrophoretic Mobility of Particle

Go Electrophoretic Mobility = Drift Velocity of Dispersed Particle/Electric Field Intensity

Surface Viscosity

Go Surface Viscosity = Dynamic Viscosity/Thickness of Surface Phase

Critical Chain Length of Hydrocarbon Tail using Tanford Equation

Go Critical Chain Length of Hydrocarbon Tail = (0.154+(0.1265*Number of Carbon Atoms))

Specific Surface Area

Go Specific Surface Area = 3/(Density*Radius of Sphere)

Number of Carbon Atoms given Critical Chain Length of Hydrocarbon

Go Number of Carbon Atoms = (Critical Chain Length of Hydrocarbon Tail-0.154)/0.1265

Volume of Hydrocarbon Chain using Tanford Equation

Go Micelle Core Volume = (27.4+(26.9*Number of Carbon Atoms))*(10^(-3))

Number of Moles of Surfactant given Critical Micelle Concentration Formula

Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle
[M] = (c-c_CMC)/n

What is Critical Micelle Concentration?

In colloidal and surface chemistry, the critical micelle concentration (CMC) is defined as the concentration of surfactants above which micelles form and all additional surfactants added to the system will form micelles. The CMC is an important characteristic of a surfactant.

How to Calculate Number of Moles of Surfactant given Critical Micelle Concentration?

Number of Moles of Surfactant given Critical Micelle Concentration calculator uses Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle to calculate the Number of Moles of Surfactant, The Number of Moles of Surfactant given Critical Micelle Concentration formula is defined as the number of moles of surfactant in excess of the CMC value divided by the degree of aggregation of the micelle. Number of Moles of Surfactant is denoted by [M] symbol.

How to calculate Number of Moles of Surfactant given Critical Micelle Concentration using this online calculator? To use this online calculator for Number of Moles of Surfactant given Critical Micelle Concentration, enter Total Concentration of Surfactant (c), Critical Micelle Concentration (c_CMC) & Degree of Aggregation of Micelle (n) and hit the calculate button. Here is how the Number of Moles of Surfactant given Critical Micelle Concentration calculation can be explained with given input values -> 3.428571 = (50000-2000)/14000.

FAQ

What is Number of Moles of Surfactant given Critical Micelle Concentration?

The Number of Moles of Surfactant given Critical Micelle Concentration formula is defined as the number of moles of surfactant in excess of the CMC value divided by the degree of aggregation of the micelle and is represented as [M] = (c-c_CMC)/n or Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle. Total Concentration of surfactant is defined as the abundance of a constituent divided by the total volume of a mixture, The Critical Micelle Concentration is defined as the threshold concentration at which micellization begins & The Degree of Aggregation of Micelle is defined as the ratio of the concentrations of surfactant to the number of moles of surfactant.

How to calculate Number of Moles of Surfactant given Critical Micelle Concentration?

The Number of Moles of Surfactant given Critical Micelle Concentration formula is defined as the number of moles of surfactant in excess of the CMC value divided by the degree of aggregation of the micelle is calculated using Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle. To calculate Number of Moles of Surfactant given Critical Micelle Concentration, you need Total Concentration of Surfactant (c), Critical Micelle Concentration (c_CMC) & Degree of Aggregation of Micelle (n). With our tool, you need to enter the respective value for Total Concentration of Surfactant, Critical Micelle Concentration & Degree of Aggregation of Micelle 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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