Isothermal Compressibility 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 volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V]			+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%

✖Isothermal Compressibility in KTOG is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility given Relative Size of Fluctuations in Particle Density [K_{iso_comp}]

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Formula

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Isothermal Compressibility given Relative Size of Fluctuations in Particle Density

Formula

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

Example

`"5.7E^17m²/N"=(("15"/"22.4L"))/("[BoltZ]"*"85K"*(("997kg/m³")^2))`

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Isothermal Compressibility given Relative Size of Fluctuations in Particle Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2))
K_{iso_comp} = ((ΔN²/V))/([BoltZ]*T*(ρ^2))
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Isothermal Compressibility in KTOG - (Measured in Square Meter per Newton) - Isothermal Compressibility in KTOG is the change in volume due to change in pressure at constant temperature.
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.
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
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
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

K_{iso_comp} = ((ΔN²/V))/([BoltZ]*T*(ρ^2)) --> ((15/0.0224))/([BoltZ]*85*(997^2))

Evaluating ... ...

K_{iso_comp} = 5.74051514008343E+17

STEP 3: Convert Result to Output's Unit

5.74051514008343E+17 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

5.74051514008343E+17 ≈ 5.7E+17 Square Meter per Newton <-- Isothermal Compressibility in KTOG

(Calculation completed in 00.004 seconds)

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< 7 Isothermal Compressibility Calculators

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

Go Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R])))

Isothermal Compressibility given Thermal Pressure Coefficient and Cp

Go Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

Go Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure))

Isothermal Compressibility given Thermal Pressure Coefficient and Cv

Go Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume)))

Isothermal Compressibility given Relative Size of Fluctuations in Particle Density

Go Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2))

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume

Go Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility

Isothermal Compressibility given Molar Heat Capacity Ratio

Go Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility

Isothermal Compressibility given Relative Size of Fluctuations in Particle Density Formula

Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2))
K_{iso_comp} = ((ΔN²/V))/([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 Isothermal Compressibility given Relative Size of Fluctuations in Particle Density?

Isothermal Compressibility given Relative Size of Fluctuations in Particle Density calculator uses Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2)) to calculate the Isothermal Compressibility in KTOG, The Isothermal compressibility given relative size of fluctuations in particle density is the change in volume due to change in pressure at constant temperature. Isothermal Compressibility in KTOG is denoted by K_{iso_comp} symbol.

How to calculate Isothermal Compressibility given Relative Size of Fluctuations in Particle Density using this online calculator? To use this online calculator for Isothermal Compressibility given Relative Size of Fluctuations in Particle Density, enter Relative Size of Fluctuations (ΔN²), Volume of Gas (V), Temperature (T) & Density (ρ) and hit the calculate button. Here is how the Isothermal Compressibility given Relative Size of Fluctuations in Particle Density calculation can be explained with given input values -> 5.7E+17 = ((15/0.0224))/([BoltZ]*85*(997^2)).

FAQ

What is Isothermal Compressibility given Relative Size of Fluctuations in Particle Density?

The Isothermal compressibility given relative size of fluctuations in particle density is the change in volume due to change in pressure at constant temperature and is represented as K_{iso_comp} = ((ΔN²/V))/([BoltZ]*T*(ρ^2)) or Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(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, 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 Isothermal Compressibility given Relative Size of Fluctuations in Particle Density?

The Isothermal compressibility given relative size of fluctuations in particle density is the change in volume due to change in pressure at constant temperature is calculated using Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2)). To calculate Isothermal Compressibility given Relative Size of Fluctuations in Particle Density, you need Relative Size of Fluctuations (ΔN²), Volume of Gas (V), Temperature (T) & Density (ρ). With our tool, you need to enter the respective value for Relative Size of Fluctuations, Volume of Gas, 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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