Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Calculator

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✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility [K_S]			+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%
✖Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_p]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Volumetric Coefficient of Compressibility is the tendency of matter to change its volume in response to a change in temperature.ⓘ Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp [α_comp]

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp

Formula

`"α"_{"comp"} = sqrt((("K"_{"T"}-"K"_{"S"})*"ρ"*"C"_{"p"})/"T")`

Example

`"84.58689K⁻¹"=sqrt((("75m²/N"-"70m²/N")*"997kg/m³"*"122J/K*mol")/"85K")`

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature)
α_comp = sqrt(((K_T-K_S)*ρ*C_p)/T)
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volumetric Coefficient of Compressibility - (Measured in 1 Per Kelvin) - Volumetric Coefficient of Compressibility is the tendency of matter to change its volume in response to a change in temperature.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
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.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_comp = sqrt(((K_T-K_S)*ρ*C_p)/T) --> sqrt(((75-70)*997*122)/85)

Evaluating ... ...

α_comp = 84.5868853692497

STEP 3: Convert Result to Output's Unit

84.5868853692497 1 Per Kelvin --> No Conversion Required

FINAL ANSWER

84.5868853692497 ≈ 84.58689 1 Per Kelvin <-- Volumetric Coefficient of Compressibility

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Compressibility » Important Calculator of Compressibility » Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp

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< 13 Important Calculator of Compressibility Calculators

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv

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)

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)

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)

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

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp Formula

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 Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp?

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp calculator uses Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature) to calculate the Volumetric Coefficient of Compressibility, The Volumetric coefficient of thermal expansion given compressibility factors and Cp is the tendency of matter to change its volume in response to a change in temperature. Volumetric Coefficient of Compressibility is denoted by α_comp symbol.

How to calculate Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp using this online calculator? To use this online calculator for Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Temperature (T) and hit the calculate button. Here is how the Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp calculation can be explained with given input values -> 84.58689 = sqrt(((75-70)*997*122)/85).

FAQ

What is Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp?

The Volumetric coefficient of thermal expansion given compressibility factors and Cp is the tendency of matter to change its volume in response to a change in temperature and is represented as α_comp = sqrt(((K_T-K_S)*ρ*C_p)/T) or Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature). The isothermal compressibility is the change in volume due to change in pressure at constant temperature, The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy, 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, Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp?

The Volumetric coefficient of thermal expansion given compressibility factors and Cp is the tendency of matter to change its volume in response to a change in temperature is calculated using Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature). To calculate Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp, you need Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Pressure (C_p) & Temperature (T). With our tool, you need to enter the respective value for Isothermal Compressibility, Isentropic Compressibility, Density, Molar Specific Heat Capacity at Constant Pressure & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volumetric Coefficient of Compressibility?

In this formula, Volumetric Coefficient of Compressibility uses Isothermal Compressibility, Isentropic Compressibility, Density, Molar Specific Heat Capacity at Constant Pressure & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature)

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