Volume given Relative Size of Fluctuations in Particle Density Calculator

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✖Relative size of fluctuations gives the variance (mean square deviation) of the particles.ⓘ Relative Size of Fluctuations [ΔN²]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖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.ⓘ Density [ρ]			+10% -10%

✖Volume of Gas given fluctuation size is the amount of space that it occupies.ⓘ Volume given Relative Size of Fluctuations in Particle Density [V_f]

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Formula

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Volume given Relative Size of Fluctuations in Particle Density

Formula

`"V"_{"f"} = "ΔN"^{"2"}/("K"_{"T"}*"[BoltZ]"*"T"*("ρ"^2))`

Example

`"1.7E^17L"="15"/("75m²/N"*"[BoltZ]"*"85K"*(("997kg/m³")^2))`

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Download Important Calculator of Compressibility Formulas PDF

Volume given Relative Size of Fluctuations in Particle Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2))
V_f = ΔN²/(K_T*[BoltZ]*T*(ρ^2))
This formula uses 1 Constants, 5 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Volume of Gas given fluctuation size - (Measured in Cubic Meter) - Volume of Gas given fluctuation size is the amount of space that it occupies.
Relative Size of Fluctuations - Relative size of fluctuations gives the variance (mean square deviation) of the particles.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Density - (Measured in Kilogram per Cubic Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Relative Size of Fluctuations: 15 --> No Conversion Required
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = ΔN²/(K_T*[BoltZ]*T*(ρ^2)) --> 15/(75*[BoltZ]*85*(997^2))

Evaluating ... ...

V_f = 171450052183825

STEP 3: Convert Result to Output's Unit

171450052183825 Cubic Meter -->1.71450052183825E+17 Liter (Check conversion here)

FINAL ANSWER

1.71450052183825E+17 ≈ 1.7E+17 Liter <-- Volume of Gas given fluctuation size

(Calculation completed in 00.020 seconds)

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Volume given Relative Size of Fluctuations in Particle Density Formula

Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2))
V_f = ΔN²/(K_T*[BoltZ]*T*(ρ^2))

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

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

Volume given Relative Size of Fluctuations in Particle Density calculator uses Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)) to calculate 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 calculate Volume given Relative Size of Fluctuations in Particle Density using this online calculator? To use this online calculator 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. Here is how the Volume given Relative Size of Fluctuations in Particle Density calculation can be explained with given input values -> 1.7E+20 = 15/(75*[BoltZ]*85*(997^2)).

FAQ

What is Volume given Relative Size of Fluctuations in Particle Density?

The Volume given relative size of fluctuations in particle density is the standard volume of an ideal gas in the container and is represented as V_f = ΔN²/(K_T*[BoltZ]*T*(ρ^2)) or Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)). Relative size of fluctuations gives the variance (mean square deviation) of the particles, The isothermal compressibility is the change in volume due to change in pressure at constant temperature, Temperature is the degree or intensity of heat present in a substance or object & 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.

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

The Volume given relative size of fluctuations in particle density is the standard volume of an ideal gas in the container is calculated using Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)). To calculate Volume given Relative Size of Fluctuations in Particle Density, you need Relative Size of Fluctuations (ΔN²), Isothermal Compressibility (K_T), Temperature (T) & Density (ρ). With our tool, you need to enter the respective value for Relative Size of Fluctuations, Isothermal Compressibility, Temperature & Density 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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