Length given Critical Packing Parameter Calculator

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Colloidal Structures in Surfactant Solutions

BET Adsorption Isotherm

Capillarity and Surface Forces in Liquids (Curved Surfaces)

Freundlich adsorption isotherm

Important Formulas of Adsorption Isotherm

Important Formulas of Colloids

Important Formulas on Surface Tension

Langmuir Adsorption Isotherm

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Critical Packing Parameter

Electrophoresis and other Electrokinetics Phenomena

Micellar Aggregation Number

Specific Surface Area

Tanford Equation

✖Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant.ⓘ Surfactant Tail Volume [v]			+10% -10%
✖Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant.ⓘ Critical Packing Parameter [CPP]			+10% -10%
✖Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.ⓘ Optimal Area [a_o]			+10% -10%

✖Tail length is defined as the measurement of the extent of something along its greatest dimension.ⓘ Length given Critical Packing Parameter [l]

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Formula

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Length given Critical Packing Parameter

Formula

`"l" = "v"/("CPP"*"a"_{"o"})`

Example

`"0.098039cm"="50cm³"/("10"*"51cm²")`

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Length given Critical Packing Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area)
l = v/(CPP*a_o)
This formula uses 4 Variables

Variables Used

Tail Length - (Measured in Meter) - Tail length is defined as the measurement of the extent of something along its greatest dimension.
Surfactant Tail Volume - (Measured in Cubic Meter) - Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant.
Critical Packing Parameter - Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant.
Optimal Area - (Measured in Square Meter) - Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.

STEP 1: Convert Input(s) to Base Unit

Surfactant Tail Volume: 50 Cubic Centimeter --> 5E-05 Cubic Meter (Check conversion here)
Critical Packing Parameter: 10 --> No Conversion Required
Optimal Area: 51 Square Centimeter --> 0.0051 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = v/(CPP*a_o) --> 5E-05/(10*0.0051)

Evaluating ... ...

l = 0.000980392156862745

STEP 3: Convert Result to Output's Unit

0.000980392156862745 Meter -->0.0980392156862745 Centimeter (Check conversion here)

FINAL ANSWER

0.0980392156862745 ≈ 0.098039 Centimeter <-- Tail Length

(Calculation completed in 00.004 seconds)

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Created by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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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

Length given Critical Packing Parameter Formula

Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area)
l = v/(CPP*a_o)

What is the Critical Packing Parameter?

The Critical packing parameter (CPP) is a theoretical framework for determining the type of aggregation formed by surfactants (i.e. as spherical or cylindrical micelles, or vesicles, or flexible or fixed bilayers.)

What is the use of Critical Packing Parameter?

The concept of the critical packing parameter is a simplification, for instance, the parameter a0 is not a geometrical area but an equilibrium parameter derived from thermodynamic considerations, meaning that predicting the aggregate structure becomes very complicated for solutions having many different parameters that could vary simultaneously, e.g. salt concentration, temperature, pH etc.

How to Calculate Length given Critical Packing Parameter?

Length given Critical Packing Parameter calculator uses Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area) to calculate the Tail Length, The Length given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and optimal area. Tail Length is denoted by l symbol.

How to calculate Length given Critical Packing Parameter using this online calculator? To use this online calculator for Length given Critical Packing Parameter, enter Surfactant Tail Volume (v), Critical Packing Parameter (CPP) & Optimal Area (a_o) and hit the calculate button. Here is how the Length given Critical Packing Parameter calculation can be explained with given input values -> 9.803922 = 5E-05/(10*0.0051).

FAQ

What is Length given Critical Packing Parameter?

The Length given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and optimal area and is represented as l = v/(CPP*a_o) or Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area). Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant, Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant & Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.

How to calculate Length given Critical Packing Parameter?

The Length given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and optimal area is calculated using Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area). To calculate Length given Critical Packing Parameter, you need Surfactant Tail Volume (v), Critical Packing Parameter (CPP) & Optimal Area (a_o). With our tool, you need to enter the respective value for Surfactant Tail Volume, Critical Packing Parameter & Optimal Area 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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