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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Calculator

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Important Calculator of Compressibility Isentropic Compressibility Isothermal Compressibility

✖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 Volume, 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 volume.ⓘ Molar Specific Heat Capacity at Constant Volume [C_v]			+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 Cv [α_comp]

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature)
α_comp = sqrt(((K_T-K_S)*ρ*(C_v+[R]))/T)
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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 Volume - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Volume, 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 volume.
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 Volume: 103 Joule Per Kelvin Per Mole --> 103 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_v+[R]))/T) --> sqrt(((75-70)*997*(103+[R]))/85)

Evaluating ... ...

α_comp = 80.7976846021988

STEP 3: Convert Result to Output's Unit

80.7976846021988 1 Per Kelvin --> No Conversion Required

FINAL ANSWER

80.7976846021988 ≈ 80.79768 1 Per Kelvin <-- Volumetric Coefficient of Compressibility

(Calculation completed in 00.004 seconds)

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Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv Formula

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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 Cv?

Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv calculator uses Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature) to calculate the Volumetric Coefficient of Compressibility, The Volumetric coefficient of thermal expansion given compressibility factors and Cv is given is the change in volume due to change in pressure at constant temperature. Volumetric Coefficient of Compressibility is denoted by α_comp symbol.

How to calculate Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv using this online calculator? To use this online calculator for Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv, enter Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T) and hit the calculate button. Here is how the Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv calculation can be explained with given input values -> 80.79768 = sqrt(((75-70)*997*(103+[R]))/85).

FAQ

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

The Volumetric coefficient of thermal expansion given compressibility factors and Cv is given is the change in volume due to change in pressure at constant temperature and is represented as α_comp = sqrt(((K_T-K_S)*ρ*(C_v+[R]))/T) or Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/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 Volume, 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 volume & 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 Cv?

The Volumetric coefficient of thermal expansion given compressibility factors and Cv is given is the change in volume due to change in pressure at constant temperature is calculated using Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature). To calculate Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv, you need Isothermal Compressibility (K_T), Isentropic Compressibility (K_S), Density (ρ), Molar Specific Heat Capacity at Constant Volume (C_v) & Temperature (T). With our tool, you need to enter the respective value for Isothermal Compressibility, Isentropic Compressibility, Density, Molar Specific Heat Capacity at Constant Volume & 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 Volume & 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 Pressure)/Temperature)

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