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Micellar Core Radius given Micellar Aggregation Number Formula

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

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

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

Micellar Core Radius given Micellar Aggregation Number Example

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

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

Here is how the Micellar Core Radius given Micellar Aggregation Number equation looks like.

1.1E-7 = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29}{4 \cdot 3.1416})}^{\frac{1}{3}}

1.1E-7m = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

1.1E-7 = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29}{4 \cdot 3.1416})}^{\frac{1}{3}}

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Micellar Core Radius given Micellar Aggregation Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R mic = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29m³}{4 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

R mic = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

R mic = {(\frac{6.7E+37 \cdot 3 \cdot 9E-29}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

R mic = 1.12912728195426E-07m

LAST Step Rounding Answer

∴

R mic = 1.1E-7m

Micellar Core Radius given Micellar Aggregation Number Formula Elements

Variables

Constants

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

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

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 Aggregation Number

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

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 Core Radius given Micellar Aggregation Number?

Micellar Core Radius given Micellar Aggregation Number evaluator uses Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3) to evaluate the Micelle Core Radius, The Micellar Core Radius given Micellar Aggregation Number formula is defined as the distance from the center to the circumference of a micelle. Micelle Core Radius is denoted by R_mic symbol.

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

FAQs on Micellar Core Radius given Micellar Aggregation Number

What is the formula to find Micellar Core Radius given Micellar Aggregation Number?

The formula of Micellar Core Radius given Micellar Aggregation Number is expressed as Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3). Here is an example- 1.1E-7 = ((6.7E+37*3*9E-29)/(4*pi))^(1/3).

How to calculate Micellar Core Radius given Micellar Aggregation Number?

With Micellar Aggregation Number (N_mic) & Volume of Hydrophobic Tail (V_hydrophobic) we can find Micellar Core Radius given Micellar Aggregation Number using the formula - Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3). This formula also uses Archimedes' constant .

Can the Micellar Core Radius given Micellar Aggregation Number be negative?

No, the Micellar Core Radius given Micellar Aggregation Number, measured in Length cannot be negative.

Which unit is used to measure Micellar Core Radius given Micellar Aggregation Number?

Micellar Core Radius given Micellar Aggregation Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Micellar Core Radius given Micellar Aggregation Number can be measured.

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Micellar Core Radius given Micellar Aggregation Number Formula

Micellar Core Radius given Micellar Aggregation Number Example

Micellar Core Radius given Micellar Aggregation Number Solution

Micellar Core Radius given Micellar Aggregation Number Formula Elements

Other formulas in Micellar Aggregation Number category

How to Evaluate Micellar Core Radius given Micellar Aggregation Number?

FAQs on Micellar Core Radius given Micellar Aggregation Number

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