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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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Volume of Hydrophobic Tail given Micellar Aggregation Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number
ν = ((4/3)*pi*(Rmic^3))/Nmic
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Micelle Core Radius - Micelle Core Radius is defined as the distance from the center to the circumference of a micelle. (Measured in Angstrom)
Micellar Aggregation Number- Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.
STEP 1: Convert Input(s) to Base Unit
Micelle Core Radius: 10 Angstrom --> 1E-09 Meter (Check conversion here)
Micellar Aggregation Number: 100 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ν = ((4/3)*pi*(Rmic^3))/Nmic --> ((4/3)*pi*(1E-09^3))/100
Evaluating ... ...
ν = 4.18879020478639E-29
STEP 3: Convert Result to Output's Unit
4.18879020478639E-29 Cubic Meter -->41.8879020478639 Cubic Angstrom (Check conversion here)
FINAL ANSWER
41.8879020478639 Cubic Angstrom <-- Volume of Hydrophobic Tail
(Calculation completed in 00.015 seconds)

3 Micellar Aggregation Number Calculators

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

Volume of Hydrophobic Tail given Micellar Aggregation Number Formula

volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number
ν = ((4/3)*pi*(Rmic^3))/Nmic

What is Micellar Aggregation Number?

Micellar Aggregation Number is a description of the number of molecules present in a micelle once the critical micelle concentration has been reached. Traditionally, it is being determined by the small-angle neutron scattering experiments.

What is the range of Micellar Aggregation Number ?

Micellar Aggregation Number ranges from less than 100 for the ionic surfactants to several hundred for non-ionic surfactants. The Micellar Aggregation Number increases with the increasing length of the hydrocarbon chains of the surfactant molecules.

How to Calculate Volume of Hydrophobic Tail given Micellar Aggregation Number?

Volume of Hydrophobic Tail given Micellar Aggregation Number calculator uses volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number to calculate the Volume of Hydrophobic Tail, The Volume of Hydrophobic Tail given Micellar Aggregation Number formula is defined as the amount of space the hydrophobic tail occupies. Volume of Hydrophobic Tail is denoted by ν symbol.

How to calculate Volume of Hydrophobic Tail given Micellar Aggregation Number using this online calculator? To use this online calculator for Volume of Hydrophobic Tail given Micellar Aggregation Number, enter Micelle Core Radius (Rmic) & Micellar Aggregation Number (Nmic) and hit the calculate button. Here is how the Volume of Hydrophobic Tail given Micellar Aggregation Number calculation can be explained with given input values -> 41.8879 = ((4/3)*pi*(1E-09^3))/100.

FAQ

What is Volume of Hydrophobic Tail given Micellar Aggregation Number?
The Volume of Hydrophobic Tail given Micellar Aggregation Number formula is defined as the amount of space the hydrophobic tail occupies and is represented as ν = ((4/3)*pi*(Rmic^3))/Nmic or volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number. Micelle Core Radius is defined as the distance from the center to the circumference of a micelle & Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.
How to calculate Volume of Hydrophobic Tail given Micellar Aggregation Number?
The Volume of Hydrophobic Tail given Micellar Aggregation Number formula is defined as the amount of space the hydrophobic tail occupies is calculated using volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number. To calculate Volume of Hydrophobic Tail given Micellar Aggregation Number, you need Micelle Core Radius (Rmic) & Micellar Aggregation Number (Nmic). With our tool, you need to enter the respective value for Micelle Core Radius & Micellar Aggregation Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Volume of Hydrophobic Tail?
In this formula, Volume of Hydrophobic Tail uses Micelle Core Radius & Micellar Aggregation Number. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • micelle_core_radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)
  • volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number
  • micellar_aggregation_number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail
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