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Micellar Aggregation Number Formula

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Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles. Check FAQs

N mic = \frac{(\frac{4}{3}) \cdot π \cdot ({R mic}^{3})}{V hydrophobic}

N_mic - Micellar Aggregation Number?R_mic - Micelle Core Radius?V_hydrophobic - Volume of Hydrophobic Tail?π - Archimedes' constant?

Micellar Aggregation Number Example

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Here is how the Micellar Aggregation Number equation looks like with Values.

Here is how the Micellar Aggregation Number equation looks like with Units.

Here is how the Micellar Aggregation Number equation looks like.

6.7E+37 = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot ({1.1E-7}^{3})}{9E-29}

6.7E+37 = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot ({1.1E-7m}^{3})}{9E-29m³}

6.7E+37 = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot ({1.1E-7}^{3})}{9E-29}

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Micellar Aggregation Number Solution

Follow our step by step solution on how to calculate Micellar Aggregation Number?

FIRST Step Consider the formula

N mic = \frac{(\frac{4}{3}) \cdot π \cdot ({R mic}^{3})}{V hydrophobic}

Next Step Substitute values of Variables

∴

N mic = \frac{(\frac{4}{3}) \cdot π \cdot ({1.1E-7m}^{3})}{9E-29m³}

Next Step Substitute values of Constants

∴

N mic = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot ({1.1E-7m}^{3})}{9E-29m³}

Next Step Convert Units

∴

N mic = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot ({1130A}^{3})}{9E-29m³}

Next Step Prepare to Evaluate

∴

N mic = \frac{(\frac{4}{3}) \cdot 3.1416 \cdot (1130^{3})}{9E-29}

Next Step Evaluate

∴

N mic = 6.7155475779063E+37

LAST Step Rounding Answer

∴

N mic = 6.7E+37

Micellar Aggregation Number Formula Elements

Variables

Constants

Micellar Aggregation Number

Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.

Symbol: N_mic

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Micellar Aggregation Number

Micelle Core Radius

Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.

Symbol: R_mic

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Micelle Core Radius

Volume of Hydrophobic Tail

The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.

Symbol: V_hydrophobic

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hydrophobic Tail

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Micellar Aggregation Number category

Go Critical Packing Parameter

CPP = \frac{v}{a o \cdot l}

Go Number of Moles of Surfactant given Critical Micelle Concentration

[M] = \frac{c - c CMC}{n}

Go Micellar Core Radius given Micellar Aggregation Number

R mic = {(\frac{N mic \cdot 3 \cdot V hydrophobic}{4 \cdot π})}^{\frac{1}{3}}

Go Volume of Hydrophobic Tail given Micellar Aggregation Number

V hydrophobic = \frac{(\frac{4}{3}) \cdot π \cdot ({R mic}^{3})}{N mic}

How to Evaluate Micellar Aggregation Number?

Micellar Aggregation Number evaluator uses Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail to evaluate the Micellar Aggregation Number, The Micellar Aggregation Number is defined as the number of surfactant molecules required to form micelles. Micellar Aggregation Number is denoted by N_mic symbol.

How to evaluate Micellar Aggregation Number using this online evaluator? To use this online evaluator for Micellar Aggregation Number, enter Micelle Core Radius (R_mic) & Volume of Hydrophobic Tail (V_hydrophobic) and hit the calculate button.

FAQs on Micellar Aggregation Number

What is the formula to find Micellar Aggregation Number?

The formula of Micellar Aggregation Number is expressed as Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail. Here is an example- 6.7E+37 = ((4/3)*pi*(1.13E-07^3))/9E-29.

How to calculate Micellar Aggregation Number?

With Micelle Core Radius (R_mic) & Volume of Hydrophobic Tail (V_hydrophobic) we can find Micellar Aggregation Number using the formula - Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail. This formula also uses Archimedes' constant .

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Micellar Aggregation Number Formula

Micellar Aggregation Number Example

Micellar Aggregation Number Solution

Micellar Aggregation Number Formula Elements

Other formulas in Micellar Aggregation Number category

How to Evaluate Micellar Aggregation Number?

FAQs on Micellar Aggregation Number

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