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Relative Size of Fluctuations in Particle Density Formula

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Relative size of fluctuation gives the variance (mean square deviation) of the particles. Check FAQs

ΔNr 2 = K T \cdot [BoltZ] \cdot T \cdot (ρ^{2}) \cdot V

ΔNr² - Relative Size of Fluctuation?K_T - Isothermal Compressibility?T - Temperature?ρ - Density?V - Volume of Gas?[BoltZ] - Boltzmann constant?

Relative Size of Fluctuations in Particle Density Example

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Here is how the Relative Size of Fluctuations in Particle Density equation looks like with Values.

Here is how the Relative Size of Fluctuations in Particle Density equation looks like with Units.

Here is how the Relative Size of Fluctuations in Particle Density equation looks like.

2E-15 = 75 \cdot 1.4E-23 \cdot 85 \cdot (997^{2}) \cdot 22.4

2E-15 = 75m²/N \cdot 1.4E-23J/K \cdot 85K \cdot ({997kg/m³}^{2}) \cdot 22.4L

2E-15 = 75 \cdot 1.4E-23 \cdot 85 \cdot (997^{2}) \cdot 22.4

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Relative Size of Fluctuations in Particle Density Solution

Follow our step by step solution on how to calculate Relative Size of Fluctuations in Particle Density?

FIRST Step Consider the formula

ΔNr 2 = K T \cdot [BoltZ] \cdot T \cdot (ρ^{2}) \cdot V

Next Step Substitute values of Variables

∴

ΔNr 2 = 75m²/N \cdot [BoltZ] \cdot 85K \cdot ({997kg/m³}^{2}) \cdot 22.4L

Next Step Substitute values of Constants

∴

ΔNr 2 = 75m²/N \cdot 1.4E-23J/K \cdot 85K \cdot ({997kg/m³}^{2}) \cdot 22.4L

Next Step Convert Units

∴

ΔNr 2 = 75m²/N \cdot 1.4E-23J/K \cdot 85K \cdot ({997kg/m³}^{2}) \cdot 0.0224m³

Next Step Prepare to Evaluate

∴

ΔNr 2 = 75 \cdot 1.4E-23 \cdot 85 \cdot (997^{2}) \cdot 0.0224

Next Step Evaluate

∴

ΔNr 2 = 1.95975443413542E-15

LAST Step Rounding Answer

∴

ΔNr 2 = 2E-15

Relative Size of Fluctuations in Particle Density Formula Elements

Variables

Constants

Relative Size of Fluctuation

Relative size of fluctuation gives the variance (mean square deviation) of the particles.

Symbol: ΔNr²

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Size of Fluctuation

Isothermal Compressibility

The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

Symbol: K_T

Measurement: CompressibilityUnit: m²/N

Note: Value can be positive or negative.

Formulas to find Isothermal Compressibility

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Volume of Gas

The volume of Gas is the amount of space that it occupies.

Symbol: V

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume 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 Important Calculator of Compressibility category

Go Compressibility Factor given Molar Volume of Gases

Z ktog = \frac{V m}{V m (ideal)}

Go Molar Volume of Real Gas given Compressibility Factor

V molar = z \cdot V m (ideal)

Go Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp

α comp = \sqrt{\frac{(K T - K S) \cdot ρ \cdot C p}{T}}

Go Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp

T TE = \frac{(K T - K S) \cdot ρ \cdot C p}{α^{2}}

How to Evaluate Relative Size of Fluctuations in Particle Density?

Relative Size of Fluctuations in Particle Density evaluator uses Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas to evaluate the Relative Size of Fluctuation, The Relative size of fluctuations in particle density gives the variance (mean square deviation) of the particles. Relative Size of Fluctuation is denoted by ΔNr² symbol.

How to evaluate Relative Size of Fluctuations in Particle Density using this online evaluator? To use this online evaluator for Relative Size of Fluctuations in Particle Density, enter Isothermal Compressibility (K_T), Temperature (T), Density (ρ) & Volume of Gas (V) and hit the calculate button.

FAQs on Relative Size of Fluctuations in Particle Density

What is the formula to find Relative Size of Fluctuations in Particle Density?

The formula of Relative Size of Fluctuations in Particle Density is expressed as Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas. Here is an example- 2E-15 = 75*[BoltZ]*85*(997^2)*0.0224.

How to calculate Relative Size of Fluctuations in Particle Density?

With Isothermal Compressibility (K_T), Temperature (T), Density (ρ) & Volume of Gas (V) we can find Relative Size of Fluctuations in Particle Density using the formula - Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas. This formula also uses Boltzmann constant .

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Relative Size of Fluctuations in Particle Density Formula

Relative Size of Fluctuations in Particle Density Example

Relative Size of Fluctuations in Particle Density Solution

Relative Size of Fluctuations in Particle Density Formula Elements

Other formulas in Important Calculator of Compressibility category

How to Evaluate Relative Size of Fluctuations in Particle Density?

FAQs on Relative Size of Fluctuations in Particle Density

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