Total Surface Area of Particle using Spericity Calculator

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [M]			+10% -10%
✖Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.ⓘ Sphericity of Particle [Φ_p]			+10% -10%
✖Density Of Particle is the density of the particle of interest.ⓘ Density Of Particle [ρ_p]			+10% -10%
✖Arithmetic Mean diameter is the average of the diameters of all the particles in the sample.ⓘ Arithmetic Mean Diameter [d_p]			+10% -10%

✖Total Surface Area of Particles is the total surface area of all the particles present in the given mixture.ⓘ Total Surface Area of Particle using Spericity [A_sa]

⎘ Copy

👎

Formula

✖

Total Surface Area of Particle using Spericity

Formula

`"A"_{"sa"} = "M"*6/("Φ"_{"p"}*"ρ"_{"p"}*"d"_{"p"})`

Example

`"0.01629m²"="50.12kg"*6/("18.46"*"100kg/m³"*"10m")`

Calculator

LaTeX

Reset

👍

Download Basics of Mechanical Operation Formula PDF PDF Image

Total Surface Area of Particle using Spericity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)
A_sa = M*6/(Φ_p*ρ_p*d_p)
This formula uses 5 Variables

Variables Used

Total Surface Area of Particles - (Measured in Square Meter) - Total Surface Area of Particles is the total surface area of all the particles present in the given mixture.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Sphericity of Particle - Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Density Of Particle - (Measured in Kilogram per Cubic Meter) - Density Of Particle is the density of the particle of interest.
Arithmetic Mean Diameter - (Measured in Meter) - Arithmetic Mean diameter is the average of the diameters of all the particles in the sample.

STEP 1: Convert Input(s) to Base Unit

Mass: 50.12 Kilogram --> 50.12 Kilogram No Conversion Required
Sphericity of Particle: 18.46 --> No Conversion Required
Density Of Particle: 100 Kilogram per Cubic Meter --> 100 Kilogram per Cubic Meter No Conversion Required
Arithmetic Mean Diameter: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sa = M*6/(Φ_p*ρ_p*d_p) --> 50.12*6/(18.46*100*10)

Evaluating ... ...

A_sa = 0.0162903575297941

STEP 3: Convert Result to Output's Unit

0.0162903575297941 Square Meter --> No Conversion Required

FINAL ANSWER

0.0162903575297941 ≈ 0.01629 Square Meter <-- Total Surface Area of Particles

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Mechanical Operations » Basics of Mechanical Operation » Basic Formulas » Total Surface Area of Particle using Spericity

Credits

Created by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has created this Calculator and 300+ more calculators!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Calculator and 800+ more calculators!

< 9 Basic Formulas Calculators

Total Surface Area of Particle using Spericity

Go Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)

Total Number of Particles in Mixture

Go Total Number of Particles in Mixture = Total Mass of Mixture/(Density Of Particle*Volume Of One Particle)

Energy Required to Crush Coarse Materials according to Bond's Law

Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Total Number of Particles given Total Surface Area

Go Total Number of Particles in Mixture = Total Surface Area of Particles/Surface Area of One Particle

Specific Surface Area of Mixture

Go Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

< 21 Basic Formulas of Mechanical Operations Calculators

Sphericity of Cuboidal Particle

Go Sphericity of Cuboidal Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))

Sphericity of Cylindrical Particle

Go Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Projected Area of Solid Body

Go Projected Area of Solid Particle Body = 2*(Drag Force)/(Drag Coefficient*Density of Liquid*(Velocity of Liquid)^(2))

Total Surface Area of Particle using Spericity

Go Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)

Terminal Settling Velocity of Single Particle

Go Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index

Material Characteristic using Angle of Friction

Go Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))

Sphericity of Particle

Go Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)

Total Number of Particles in Mixture

Go Total Number of Particles in Mixture = Total Mass of Mixture/(Density Of Particle*Volume Of One Particle)

Energy Required to Crush Coarse Materials according to Bond's Law

Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Fraction of Cycle Time used for Cake Formation

Go Fraction of Cycle Time Used For Cake Formation = Time Required For Cake Formation/Total Cycle Time

Time Required for Cake Formation

Go Time Required For Cake Formation = Fraction of Cycle Time Used For Cake Formation*Total Cycle Time

Specific Surface Area of Mixture

Go Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

Applied Pressure in Terms of Coefficient of Flowability for Solids

Go Applied Pressure = Normal Pressure/Coefficient of Flowability

Coefficient of Flowability of Solids

Go Coefficient of Flowability = Normal Pressure/Applied Pressure

Surface Shape Factor

Go Surface Shape Factor = 1/Sphericity of Particle

Total Surface Area of Particle using Spericity Formula

Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)
A_sa = M*6/(Φ_p*ρ_p*d_p)

Why do we Calculate Total Surface Area of Particle ?

Measuring this value is an essential step in understanding the ways in which elements will interact with various chemical and physical stimuli, as well as providing unique physical information used to isolate materials and identify defects in their manufacture.

How to Calculate Total Surface Area of Particle using Spericity?

Total Surface Area of Particle using Spericity calculator uses Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter) to calculate the Total Surface Area of Particles, Total Surface Area Of Particle using Spericity is the total surface area of all the particles present in the given mixture. Total Surface Area of Particles is denoted by A_sa symbol.

How to calculate Total Surface Area of Particle using Spericity using this online calculator? To use this online calculator for Total Surface Area of Particle using Spericity, enter Mass (M), Sphericity of Particle (Φ_p), Density Of Particle (ρ_p) & Arithmetic Mean Diameter (d_p) and hit the calculate button. Here is how the Total Surface Area of Particle using Spericity calculation can be explained with given input values -> 0.001665 = 50.12*6/(18.46*100*10).

FAQ

What is Total Surface Area of Particle using Spericity?

Total Surface Area Of Particle using Spericity is the total surface area of all the particles present in the given mixture and is represented as A_sa = M*6/(Φ_p*ρ_p*d_p) or Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere, Density Of Particle is the density of the particle of interest & Arithmetic Mean diameter is the average of the diameters of all the particles in the sample.

How to calculate Total Surface Area of Particle using Spericity?

Total Surface Area Of Particle using Spericity is the total surface area of all the particles present in the given mixture is calculated using Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter). To calculate Total Surface Area of Particle using Spericity, you need Mass (M), Sphericity of Particle (Φ_p), Density Of Particle (ρ_p) & Arithmetic Mean Diameter (d_p). With our tool, you need to enter the respective value for Mass, Sphericity of Particle, Density Of Particle & Arithmetic Mean Diameter 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