Number of Particles Calculator

✖Mixture mass is the total mass of given mixture.ⓘ Mixture Mass [m]			+10% -10%
✖Density of One Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.ⓘ Density of One Particle [ρ_particle]			+10% -10%
✖Volume of Spherical Particle is the capacity of a single particle or the volume occupied by one particle.ⓘ Volume of Spherical Particle [V_particle]			+10% -10%

✖Number of Particles is the number of particles present in a given sample/mixture.ⓘ Number of Particles [N_p]

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Formula

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Number of Particles

Formula

`"N"_{"p"} = "m"/("ρ"_{"particle"}*"V"_{"particle"})`

Example

`"2.04918"="0.15kg"/("12.2kg/m³"*"0.006m³")`

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Number of Particles Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)
N_p = m/(ρ_particle*V_particle)
This formula uses 4 Variables

Variables Used

Number of Particles - Number of Particles is the number of particles present in a given sample/mixture.
Mixture Mass - (Measured in Kilogram) - Mixture mass is the total mass of given mixture.
Density of One Particle - (Measured in Kilogram per Cubic Meter) - Density of One Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3.
Volume of Spherical Particle - (Measured in Cubic Meter) - Volume of Spherical Particle is the capacity of a single particle or the volume occupied by one particle.

STEP 1: Convert Input(s) to Base Unit

Mixture Mass: 0.15 Kilogram --> 0.15 Kilogram No Conversion Required
Density of One Particle: 12.2 Kilogram per Cubic Meter --> 12.2 Kilogram per Cubic Meter No Conversion Required
Volume of Spherical Particle: 0.006 Cubic Meter --> 0.006 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_p = m/(ρ_particle*V_particle) --> 0.15/(12.2*0.006)

Evaluating ... ...

N_p = 2.04918032786885

STEP 3: Convert Result to Output's Unit

2.04918032786885 --> No Conversion Required

FINAL ANSWER

2.04918032786885 ≈ 2.04918 <-- Number of Particles

(Calculation completed in 00.020 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 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

Number of Particles Formula

Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)
N_p = m/(ρ_particle*V_particle)

What is particle nature ?

Particle nature of light states that light consists of particles called 'Photons'. Wave nature of light states that light behaves as an electromagnetic wave. Particles do not interfere. That is, when the space is occupied by some particle, other particles cannot occupy the same space.

What is Total Number of Particles ?

The Total Number of Particles calculates the total number of particles that are present in a given mixture.

How to Calculate Number of Particles?

Number of Particles calculator uses Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle) to calculate the Number of Particles, Number of Particles calculates the number of particles present in a given mixture. Number of Particles is denoted by N_p symbol.

How to calculate Number of Particles using this online calculator? To use this online calculator for Number of Particles, enter Mixture Mass (m), Density of One Particle (ρ_particle) & Volume of Spherical Particle (V_particle) and hit the calculate button. Here is how the Number of Particles calculation can be explained with given input values -> 2.04918 = 0.15/(12.2*0.006).

FAQ

What is Number of Particles?

Number of Particles calculates the number of particles present in a given mixture and is represented as N_p = m/(ρ_particle*V_particle) or Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle). Mixture mass is the total mass of given mixture, Density of One Particle is defined as the mass of a unit volume of sediment solids. A simple example is that if 1 cm3 of solid material weighs 2.65 g, the particle density is 2.65 g/cm3 & Volume of Spherical Particle is the capacity of a single particle or the volume occupied by one particle.

How to calculate Number of Particles?

Number of Particles calculates the number of particles present in a given mixture is calculated using Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle). To calculate Number of Particles, you need Mixture Mass (m), Density of One Particle (ρ_particle) & Volume of Spherical Particle (V_particle). With our tool, you need to enter the respective value for Mixture Mass, Density of One Particle & Volume of Spherical Particle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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