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Number Density Formula

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Number Density is the moles of particles per unit volume. Check FAQs

n = \frac{P g}{[BoltZ] \cdot T g}

n - Number Density?P_g - Pressure of Gas?T_g - Temperature of Gas?[BoltZ] - Boltzmann constant?

Number Density Example

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With units

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Here is how the Number Density equation looks like with Values.

Here is how the Number Density equation looks like with Units.

Here is how the Number Density equation looks like.

9.8987 = \frac{4.1E-20}{1.4E-23 \cdot 300}

9.89871/m³ = \frac{4.1E-20Pa}{1.4E-23J/K \cdot 300K}

9.8987 = \frac{4.1E-20}{1.4E-23 \cdot 300}

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Number Density Solution

Follow our step by step solution on how to calculate Number Density?

FIRST Step Consider the formula

n = \frac{P g}{[BoltZ] \cdot T g}

Next Step Substitute values of Variables

∴

n = \frac{4.1E-20Pa}{[BoltZ] \cdot 300K}

Next Step Substitute values of Constants

∴

n = \frac{4.1E-20Pa}{1.4E-23J/K \cdot 300K}

Next Step Prepare to Evaluate

∴

n = \frac{4.1E-20}{1.4E-23 \cdot 300}

Next Step Evaluate

∴

n = 9.898729813339221/m³

LAST Step Rounding Answer

∴

n = 9.89871/m³

Number Density Formula Elements

Variables

Constants

Number Density

Number Density is the moles of particles per unit volume.

Symbol: n

Measurement: Number DensityUnit: 1/m³

Note: Value should be greater than 0.

Formulas to find Number Density

Pressure of Gas

The pressure of Gas is the force that the gas exerts on the walls of its container.

Symbol: P_g

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other formulas in Elements of Kinetic Theory category

Go Pressure using Kinetic Energy per Mole

p = \frac{2}{3} \cdot \frac{E' t}{V}

Go Volume of Gas

V = \frac{2}{3} \cdot \frac{E t}{p}

Go Kinetic Energy per Mole

E' t = \frac{3}{2} \cdot p \cdot V

Go Pressure using Molar Volume

p = \frac{2}{3} \cdot \frac{E' t}{V m}

How to Evaluate Number Density?

Number Density evaluator uses Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas) to evaluate the Number Density, Number Density formula is defined as a measure of the number of particles per unit volume of a gas, providing a fundamental understanding of the physical properties of gases in kinetic theory, where the behavior of gas molecules is studied in relation to temperature and pressure. Number Density is denoted by n symbol.

How to evaluate Number Density using this online evaluator? To use this online evaluator for Number Density, enter Pressure of Gas (P_g) & Temperature of Gas (T_g) and hit the calculate button.

FAQs on Number Density

What is the formula to find Number Density?

The formula of Number Density is expressed as Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas). Here is an example- 9.89873 = 4.1E-20/([BoltZ]*300).

How to calculate Number Density?

With Pressure of Gas (P_g) & Temperature of Gas (T_g) we can find Number Density using the formula - Number Density = Pressure of Gas/([BoltZ]*Temperature of Gas). This formula also uses Boltzmann constant .

Can the Number Density be negative?

No, the Number Density, measured in Number Density cannot be negative.

Which unit is used to measure Number Density?

Number Density is usually measured using the 1 per Cubic Meter[1/m³] for Number Density. 1 per Cubic Centimeter[1/m³] are the few other units in which Number Density can be measured.

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