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Volume given Relative Size of Fluctuations in Particle Density Formula

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Volume of Gas given fluctuation size is the amount of space that it occupies. Check FAQs

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

V_f - Volume of Gas given fluctuation size?ΔN² - Relative Size of Fluctuations?K_T - Isothermal Compressibility?T - Temperature?ρ - Density?[BoltZ] - Boltzmann constant?

Volume given Relative Size of Fluctuations in Particle Density Example

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

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

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

1.7E+17 = \frac{15}{75 \cdot 1.4E-23 \cdot 85 \cdot (997^{2})}

1.7E+17L = \frac{15}{75m²/N \cdot 1.4E-23J/K \cdot 85K \cdot ({997kg/m³}^{2})}

1.7E+17 = \frac{15}{75 \cdot 1.4E-23 \cdot 85 \cdot (997^{2})}

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Volume given Relative Size of Fluctuations in Particle Density Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V f = \frac{15}{75m²/N \cdot [BoltZ] \cdot 85K \cdot ({997kg/m³}^{2})}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V f = 171450052183825m³

Next Step Convert to Output's Unit

∴

V f = 1.71450052183825E+17L

LAST Step Rounding Answer

∴

V f = 1.7E+17L

Volume given Relative Size of Fluctuations in Particle Density Formula Elements

Variables

Constants

Volume of Gas given fluctuation size

Volume of Gas given fluctuation size is the amount of space that it occupies.

Symbol: V_f

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Gas given fluctuation size

Relative Size of Fluctuations

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

Symbol: ΔN²

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Relative Size of Fluctuations

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

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 Volume given Relative Size of Fluctuations in Particle Density?

Volume given Relative Size of Fluctuations in Particle Density evaluator uses Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)) to evaluate the Volume of Gas given fluctuation size, The Volume given relative size of fluctuations in particle density is the standard volume of an ideal gas in the container. Volume of Gas given fluctuation size is denoted by V_f symbol.

How to evaluate Volume given Relative Size of Fluctuations in Particle Density using this online evaluator? To use this online evaluator for Volume given Relative Size of Fluctuations in Particle Density, enter Relative Size of Fluctuations (ΔN²), Isothermal Compressibility (K_T), Temperature (T) & Density (ρ) and hit the calculate button.

FAQs on Volume given Relative Size of Fluctuations in Particle Density

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

The formula of Volume given Relative Size of Fluctuations in Particle Density is expressed as Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)). Here is an example- 1.7E+20 = 15/(75*[BoltZ]*85*(997^2)).

How to calculate Volume given Relative Size of Fluctuations in Particle Density?

With Relative Size of Fluctuations (ΔN²), Isothermal Compressibility (K_T), Temperature (T) & Density (ρ) we can find Volume given Relative Size of Fluctuations in Particle Density using the formula - Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)). This formula also uses Boltzmann constant .

Can the Volume given Relative Size of Fluctuations in Particle Density be negative?

Yes, the Volume given Relative Size of Fluctuations in Particle Density, measured in Volume can be negative.

Which unit is used to measure Volume given Relative Size of Fluctuations in Particle Density?

Volume given Relative Size of Fluctuations in Particle Density is usually measured using the Liter[L] for Volume. Cubic Meter[L], Cubic Centimeter[L], Cubic Millimeter[L] are the few other units in which Volume given Relative Size of Fluctuations in Particle Density can be measured.

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Volume given Relative Size of Fluctuations in Particle Density Formula

Volume given Relative Size of Fluctuations in Particle Density Example

Volume given Relative Size of Fluctuations in Particle Density Solution

Volume given Relative Size of Fluctuations in Particle Density Formula Elements

Other formulas in Important Calculator of Compressibility category

How to Evaluate Volume given Relative Size of Fluctuations in Particle Density?

FAQs on Volume given Relative Size of Fluctuations in Particle Density

Variable Name