Volume of Hydrophobic Tail given Micellar Aggregation Number Calculator

✖Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.ⓘ Micelle Core Radius [R_mic]			+10% -10%
✖Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.ⓘ Micellar Aggregation Number [N_mic]			+10% -10%

✖The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.ⓘ Volume of Hydrophobic Tail given Micellar Aggregation Number [V_hydrophobic]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Surface Chemistry Formula PDF PDF Image

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
V_hydrophobic = ((4/3)*pi*(R_mic^3))/N_mic
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Hydrophobic Tail - (Measured in Cubic Meter) - The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.
Micelle Core Radius - (Measured in Angstrom) - Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.
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: 1.13E-07 Meter --> 1130 Angstrom (Check conversion here)
Micellar Aggregation Number: 6.7E+37 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_hydrophobic = ((4/3)*pi*(R_mic^3))/N_mic --> ((4/3)*pi*(1130^3))/6.7E+37

Evaluating ... ...

V_hydrophobic = 9.02088480614279E-29

STEP 3: Convert Result to Output's Unit

9.02088480614279E-29 Cubic Meter --> No Conversion Required

FINAL ANSWER

9.02088480614279E-29 ≈ 9E-29 Cubic Meter <-- Volume of Hydrophobic Tail

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Surface Chemistry » Colloidal Structures in Surfactant Solutions » Micellar Aggregation Number » Volume of Hydrophobic Tail given Micellar Aggregation Number

Credits

Created by Pratibha

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

Pratibha has created this Calculator and 100+ more calculators!

Verified by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< Micellar Aggregation Number Calculators

Micellar Core Radius given Micellar Aggregation Number

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

Volume of Hydrophobic Tail given Micellar Aggregation Number

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

Micellar Aggregation Number

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

Mass of aggregate enclosed within distance r

LaTeX Go Mass of Aggregate = (4/3)*(Density*pi*(Radius of Curvature)^3)

< Important Formulas of Colloids Calculators

Number of Moles of Surfactant given Critical Micelle Concentration

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

Micellar Core Radius given Micellar Aggregation Number

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

Micellar Aggregation Number

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

Critical Packing Parameter

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

Volume of Hydrophobic Tail given Micellar Aggregation Number Formula

LaTeX Go

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

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 V_hydrophobic 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 (R_mic) & Micellar Aggregation Number (N_mic) 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 -> 9E+31 = ((4/3)*pi*(1.13E-07^3))/6.7E+37.

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 V_hydrophobic = ((4/3)*pi*(R_mic^3))/N_mic 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 (R_mic) & Micellar Aggregation Number (N_mic). 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.

Home

FREE PDFs

🔍 Search