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Temperature given Relative Size of Fluctuations in Particle Density Calculator

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Important Calculator of Compressibility Isentropic Compressibility Isothermal Compressibility

✖Relative size of fluctuations gives the variance (mean square deviation) of the particles.ⓘ Relative Size of Fluctuations [ΔN²]			+10% -10%
✖The volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_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%

✖Temperature given fluctuations is the degree or intensity of heat present in a substance or object.ⓘ Temperature given Relative Size of Fluctuations in Particle Density [T_f]

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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))
T_f = ((ΔN²/V))/([BoltZ]*K_T*(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

T_f = ((ΔN²/V))/([BoltZ]*K_T*(ρ^2)) --> ((15/0.0224))/([BoltZ]*75*(997^2))

Evaluating ... ...

T_f = 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 00.007 seconds)

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Temperature given Relative Size of Fluctuations in Particle Density Formula

LaTeX Go

Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Isothermal Compressibility*(Density^2))
T_f = ((ΔN²/V))/([BoltZ]*K_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 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 T_f 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 (K_T) & 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 T_f = ((ΔN²/V))/([BoltZ]*K_T*(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 (K_T) & 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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