Mass Density given Number density Calculator

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Van der Waals Force

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Redlich Kwong Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Wohl Model of Real Gas

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Hamaker Coefficient

Number Density

✖Number Density is the moles of particles per unit volume.ⓘ Number Density [n]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖Mass Density is a physical quantity that represents the mass of a substance per unit volume.ⓘ Mass Density given Number density [ρ]

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Formula

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Mass Density given Number density

Formula

`"ρ" = ("n"*"M"_{"molar"})/"[Avaga-no]"`

Example

`"7.3E^-25kg/m³"=("10/m³"*"44.01g/mol")/"[Avaga-no]"`

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Mass Density given Number density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass Density = (Number Density*Molar Mass)/[Avaga-no]
ρ = (n*M_molar)/[Avaga-no]
This formula uses 1 Constants, 3 Variables

Constants Used

[Avaga-no] - Avogadro’s number Value Taken As 6.02214076E+23

Variables Used

Mass Density - (Measured in Kilogram per Cubic Meter) - Mass Density is a physical quantity that represents the mass of a substance per unit volume.
Number Density - (Measured in 1 per Cubic Meter) - Number Density is the moles of particles per unit volume.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

STEP 1: Convert Input(s) to Base Unit

Number Density: 10 1 per Cubic Meter --> 10 1 per Cubic Meter No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (n*M_molar)/[Avaga-no] --> (10*0.04401)/[Avaga-no]

Evaluating ... ...

ρ = 7.3080324346321E-25

STEP 3: Convert Result to Output's Unit

7.3080324346321E-25 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7.3080324346321E-25 ≈ 7.3E-25 Kilogram per Cubic Meter <-- Mass Density

(Calculation completed in 00.004 seconds)

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

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< 21 Van der Waals Force Calculators

Van der Waals Interaction Energy between Two Spherical Bodies

Go Van der Waals interaction energy = (-(Hamaker Coefficient/6))*(((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2)))+((2*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2)))+ln(((Center-to-center Distance^2)-((Radius of Spherical Body 1+Radius of Spherical Body 2)^2))/((Center-to-center Distance^2)-((Radius of Spherical Body 1-Radius of Spherical Body 2)^2))))

Distance between Surfaces given Van Der Waals Force between Two Spheres

Go Distance Between Surfaces = sqrt((Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy))

Van der Waals Force between Two Spheres

Go Van der Waals force = (Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*(Distance Between Surfaces^2))

Distance between Surfaces given Potential Energy in Limit of Close-Approach

Go Distance Between Surfaces = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Potential Energy)

Potential Energy in Limit of Closest-Approach

Go Potential Energy = (-Hamaker Coefficient*Radius of Spherical Body 1*Radius of Spherical Body 2)/((Radius of Spherical Body 1+Radius of Spherical Body 2)*6*Distance Between Surfaces)

Radius of Spherical Body 1 given Van der Waals Force between Two Spheres

Go Radius of Spherical Body 1 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 2))

Radius of Spherical Body 2 given Van Der Waals Force between Two Spheres

Go Radius of Spherical Body 2 = 1/((Hamaker Coefficient/(Van der Waals force*6*(Distance Between Surfaces^2)))-(1/Radius of Spherical Body 1))

Radius of Spherical Body 1 given Potential Energy in Limit of Closest-Approach

Go Radius of Spherical Body 1 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 2))

Radius of Spherical Body 2 given Potential Energy in Limit of Closest-Approach

Go Radius of Spherical Body 2 = 1/((-Hamaker Coefficient/(Potential Energy*6*Distance Between Surfaces))-(1/Radius of Spherical Body 1))

Coefficient in Particle-Particle Pair Interaction

Go Coefficient of Particle–Particle Pair Interaction = Hamaker Coefficient/((pi^2)*Number Density of particle 1*Number Density of particle 2)

Radius of Spherical Body 1 given Center-to-Center Distance

Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2

Radius of Spherical Body 2 given Center-to-Center Distance

Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1

Distance between Surfaces given Center-to-Center Distance

Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2

Center-to-Center Distance

Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces

Distance between Surfaces given Van Der Waals Pair Potential

Go Distance Between Surfaces = ((0-Coefficient of Particle–Particle Pair Interaction)/Van der Waals pair potential)^(1/6)

Coefficient in Particle-Particle Pair Interaction given Van der Waals Pair Potential

Go Coefficient of Particle–Particle Pair Interaction = (-1*Van der Waals pair potential)*(Distance Between Surfaces^6)

Van Der Waals Pair Potential

Go Van der Waals pair potential = (0-Coefficient of Particle–Particle Pair Interaction)/(Distance Between Surfaces^6)

Molar Mass given Number and Mass Density

Go Molar Mass = ([Avaga-no]*Mass Density)/Number Density

Mass Density given Number density

Go Mass Density = (Number Density*Molar Mass)/[Avaga-no]

Concentration given Number Density

Go Molar Concentration = Number Density/[Avaga-no]

Mass of Single Atom

Go Atomic Mass = Molecular Weight/[Avaga-no]

Mass Density given Number density Formula

Mass Density = (Number Density*Molar Mass)/[Avaga-no]
ρ = (n*M_molar)/[Avaga-no]

What is number density?

The number density (symbol: n or ρN) is an intensive quantity used to describe the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number density, two-dimensional areal number density, or one-dimensional linear number density. Population density is an example of areal number density. The term number concentration (symbol: lowercase n, or C, to avoid confusion with amount of substance indicated by uppercase N) is sometimes used in chemistry for the same quantity, particularly when comparing with other concentrations.

How to Calculate Mass Density given Number density?

Mass Density given Number density calculator uses Mass Density = (Number Density*Molar Mass)/[Avaga-no] to calculate the Mass Density, The Mass density given Number density formula is defined as of a substance is its mass per unit volume. Mass Density is denoted by ρ symbol.

How to calculate Mass Density given Number density using this online calculator? To use this online calculator for Mass Density given Number density, enter Number Density (n) & Molar Mass (M_molar) and hit the calculate button. Here is how the Mass Density given Number density calculation can be explained with given input values -> 1.5E-25 = (10*0.04401)/[Avaga-no].

FAQ

What is Mass Density given Number density?

The Mass density given Number density formula is defined as of a substance is its mass per unit volume and is represented as ρ = (n*M_molar)/[Avaga-no] or Mass Density = (Number Density*Molar Mass)/[Avaga-no]. Number Density is the moles of particles per unit volume & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Mass Density given Number density?

The Mass density given Number density formula is defined as of a substance is its mass per unit volume is calculated using Mass Density = (Number Density*Molar Mass)/[Avaga-no]. To calculate Mass Density given Number density, you need Number Density (n) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Number Density & Molar Mass 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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