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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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Mass of aggregate enclosed within distance r Solution

STEP 0: Pre-Calculation Summary
Formula Used
mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3)
m(r) = (4/3)*(ρ*pi* (r)^3)
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Density - The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object. (Measured in Kilogram per Meter³)
Radius of Curvature - In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Density: 997 Kilogram per Meter³ --> 997 Kilogram per Meter³ No Conversion Required
Radius of Curvature: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m(r) = (4/3)*(ρ*pi* (r)^3) --> (4/3)*(997*pi* (15)^3)
Evaluating ... ...
m(r) = 14094755.4403306
STEP 3: Convert Result to Output's Unit
14094755.4403306 Kilogram --> No Conversion Required
FINAL ANSWER
14094755.4403306 Kilogram <-- Mass of Aggregate
(Calculation completed in 00.015 seconds)

9 Colloidal Structures in Surfactant Solutions Calculators

Van Der Waals Interaction Energy
vanderwaals_interaction_energy = -(Hamaker coefficient)/(12*pi*(Surface Separation)^2) Go
Optimal head group Area given Critical Packing Parameter
optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length) Go
Specific Surface Area for array of n Cylindrical Particles
specific_surface_area = (2/Density)*((1/Cylinder Radius)+(1/Length)) Go
Mass of aggregate enclosed within distance r
mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3) Go
Surface Pressure
surface_pressure_of_thin_film = Surface Tension of Clean Water Surface-Surface Tension of Fluid Go
Laplace Pressure
laplace_pressure = Pressure inside of Curved Surface-Pressure outside of Curved Surface Go
Specific Surface Area for Thin Rod
specific_surface_area = (2/Density)*(1/Cylinder Radius) Go
Specific Surface Area
specific_surface_area = 3/(Density*Radius of Sphere) Go
Specific Surface Area for Flat Disk
specific_surface_area = (2/Density)*(1/Length) Go

Mass of aggregate enclosed within distance r Formula

mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3)
m(r) = (4/3)*(ρ*pi* (r)^3)

What do you mean by Particle Aggregation?

Particle Aggregation refers to the formation of assemblages in a suspension and represents a mechanism leading to the functional destabilization of colloidal systems. During this process, particles dispersed in the liquid phase stick to each other and spontaneously form irregular particle assemblages, flocs, or agglomerates. This phenomenon is also referred to as coagulation or flocculation and such a suspension is also called unstable. Particle agglomeration can be induced by adding salts or other chemicals referred to as coagulant or flocculant.

How to Calculate Mass of aggregate enclosed within distance r?

Mass of aggregate enclosed within distance r calculator uses mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3) to calculate the Mass of Aggregate, The Mass of aggregate enclosed within distance r formula is defined as the product of the density of particle and volume of an aggregate. Mass of Aggregate is denoted by m(r) symbol.

How to calculate Mass of aggregate enclosed within distance r using this online calculator? To use this online calculator for Mass of aggregate enclosed within distance r, enter Density (ρ) & Radius of Curvature (r) and hit the calculate button. Here is how the Mass of aggregate enclosed within distance r calculation can be explained with given input values -> 1.409E+7 = (4/3)*(997*pi* (15)^3).

FAQ

What is Mass of aggregate enclosed within distance r?
The Mass of aggregate enclosed within distance r formula is defined as the product of the density of particle and volume of an aggregate and is represented as m(r) = (4/3)*(ρ*pi* (r)^3) or mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3). The density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object & In differential geometry, the radius of curvature, R, is the reciprocal of the curvature.
How to calculate Mass of aggregate enclosed within distance r?
The Mass of aggregate enclosed within distance r formula is defined as the product of the density of particle and volume of an aggregate is calculated using mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3). To calculate Mass of aggregate enclosed within distance r, you need Density (ρ) & Radius of Curvature (r). With our tool, you need to enter the respective value for Density & Radius of Curvature 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 Mass of Aggregate?
In this formula, Mass of Aggregate uses Density & Radius of Curvature. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)
  • specific_surface_area = 3/(Density*Radius of Sphere)
  • vanderwaals_interaction_energy = -(Hamaker coefficient)/(12*pi*(Surface Separation)^2)
  • mass_of_aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3)
  • laplace_pressure = Pressure inside of Curved Surface-Pressure outside of Curved Surface
  • specific_surface_area = (2/Density)*((1/Cylinder Radius)+(1/Length))
  • specific_surface_area = (2/Density)*(1/Cylinder Radius)
  • specific_surface_area = (2/Density)*(1/Length)
  • surface_pressure_of_thin_film = Surface Tension of Clean Water Surface-Surface Tension of Fluid
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