Temperature given Relative Size of Fluctuations in Particle Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2))
Tf = ((ΔN2/V ))/([BoltZ]*KT*(ρ^2))
This formula uses 1 Constants, 5 Variables
Constants Used
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23
Variables Used
Temperature given fluctuations - (Measured in Kelvin) - Temperature given fluctuations is the degree or intensity of heat present in a substance or object.
Relative Size of Fluctuations - Relative size of fluctuations gives the variance (mean square deviation) of the particles.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
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
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton 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
Tf = ((ΔN2/V ))/([BoltZ]*KT*(ρ^2)) --> ((15/0.0224 ))/([BoltZ]*75*(997^2))
Evaluating ... ...
Tf = 6.50591715876122E+17
STEP 3: Convert Result to Output's Unit
6.50591715876122E+17 Kelvin --> No Conversion Required
FINAL ANSWER
6.50591715876122E+17 6.5E+17 Kelvin <-- Temperature given fluctuations
(Calculation completed in 00.004 seconds)

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Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]) )/(Volumetric Coefficient of Thermal Expansion^2)
Thermal Pressure Coefficient given Compressibility Factors and Cp
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/Temperature)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp
Go Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2)
Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp
Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature)
Thermal Pressure Coefficient given Compressibility Factors and Cv
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv
Go Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2)
Temperature given Relative Size of Fluctuations in Particle Density
Go Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2))
Volume given Relative Size of Fluctuations in Particle Density
Go Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2))
Relative Size of Fluctuations in Particle Density
Go Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas
Compressibility Factor given Molar Volume of Gases
Go Compressibility Factor for KTOG = Molar Volume of Real Gas/Molar Volume of Ideal Gas
Molar Volume of Real Gas given Compressibility Factor
Go Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas

Temperature given Relative Size of Fluctuations in Particle Density Formula

Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2))
Tf = ((ΔN2/V ))/([BoltZ]*KT*(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 Temperature given Relative Size of Fluctuations in Particle Density?

Temperature given Relative Size of Fluctuations in Particle Density calculator uses Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2)) to calculate the Temperature given fluctuations, The Temperature given relative size of fluctuations in particle density is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature given fluctuations is denoted by Tf symbol.

How to calculate Temperature given Relative Size of Fluctuations in Particle Density using this online calculator? To use this online calculator for Temperature given Relative Size of Fluctuations in Particle Density, enter Relative Size of Fluctuations (ΔN2), Volume of Gas (V), Isothermal Compressibility (KT) & Density (ρ) and hit the calculate button. Here is how the Temperature given Relative Size of Fluctuations in Particle Density calculation can be explained with given input values -> 6.5E+17 = ((15/0.0224 ))/([BoltZ]*75*(997^2)).

FAQ

What is Temperature given Relative Size of Fluctuations in Particle Density?
The Temperature given relative size of fluctuations in particle density is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and is represented as Tf = ((ΔN2/V ))/([BoltZ]*KT*(ρ^2)) or Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2)). Relative size of fluctuations gives the variance (mean square deviation) of the particles, The volume of Gas is the amount of space that it occupies, The isothermal compressibility is the change in volume due to change in pressure at constant temperature & 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 Temperature given Relative Size of Fluctuations in Particle Density?
The Temperature given relative size of fluctuations in particle density is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale is calculated using Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2)). To calculate Temperature given Relative Size of Fluctuations in Particle Density, you need Relative Size of Fluctuations (ΔN2), Volume of Gas (V), Isothermal Compressibility (KT) & Density (ρ). With our tool, you need to enter the respective value for Relative Size of Fluctuations, Volume of Gas, Isothermal Compressibility & 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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