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Isentropic Compressibility given Thermal Pressure Coefficient and Cv Calculator

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Isentropic Compressibility Important Calculator of 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%
✖Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.ⓘ Thermal Pressure Coefficient [Λ]			+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%
✖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%

✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility given Thermal Pressure Coefficient and Cv [K_S]

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Isentropic Compressibility given Thermal Pressure Coefficient and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume)))
K_S = 1/((1/K_T)+(((Λ^2)*T)/(ρ*C_v)))
This formula uses 6 Variables

Variables Used

Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Thermal Pressure Coefficient - (Measured in Pascal per Kelvin) - Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Thermal Pressure Coefficient: 0.01 Pascal per Kelvin --> 0.01 Pascal per Kelvin No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_S = 1/((1/K_T)+(((Λ^2)*T)/(ρ*C_v))) --> 1/((1/75)+(((0.01^2)*85)/(997*103)))

Evaluating ... ...

K_S = 74.9995344070738

STEP 3: Convert Result to Output's Unit

74.9995344070738 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

74.9995344070738 ≈ 74.99953 Square Meter per Newton <-- Isentropic Compressibility

(Calculation completed in 00.021 seconds)

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Isentropic Compressibility given Thermal Pressure Coefficient 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 Isentropic Compressibility given Thermal Pressure Coefficient and Cv?

Isentropic Compressibility given Thermal Pressure Coefficient and Cv calculator uses Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume))) to calculate the Isentropic Compressibility, The Isentropic compressibility given thermal pressure coefficient and Cv is the change in volume due to change in pressure at constant entropy. Isentropic Compressibility is denoted by K_S symbol.

How to calculate Isentropic Compressibility given Thermal Pressure Coefficient and Cv using this online calculator? To use this online calculator for Isentropic Compressibility given Thermal Pressure Coefficient and Cv, enter Isothermal Compressibility (K_T), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Isentropic Compressibility given Thermal Pressure Coefficient and Cv calculation can be explained with given input values -> 74.99953 = 1/((1/75)+(((0.01^2)*85)/(997*103))).

FAQ

What is Isentropic Compressibility given Thermal Pressure Coefficient and Cv?

The Isentropic compressibility given thermal pressure coefficient and Cv is the change in volume due to change in pressure at constant entropy and is represented as K_S = 1/((1/K_T)+(((Λ^2)*T)/(ρ*C_v))) or Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume))). The isothermal compressibility is the change in volume due to change in pressure at constant temperature, Thermal Pressure Coefficient is a measure of the relative pressure change of a fluid or a solid as a response to a temperature change at constant volume, 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 & 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.

How to calculate Isentropic Compressibility given Thermal Pressure Coefficient and Cv?

The Isentropic compressibility given thermal pressure coefficient and Cv is the change in volume due to change in pressure at constant entropy is calculated using Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume))). To calculate Isentropic Compressibility given Thermal Pressure Coefficient and Cv, you need Isothermal Compressibility (K_T), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Volume (C_v). With our tool, you need to enter the respective value for Isothermal Compressibility, Thermal Pressure Coefficient, Temperature, Density & Molar Specific Heat Capacity at Constant Volume 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 Isentropic Compressibility?

In this formula, Isentropic Compressibility uses Isothermal Compressibility, Thermal Pressure Coefficient, Temperature, Density & Molar Specific Heat Capacity at Constant Volume. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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