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Isothermal Compressibility given Thermal Pressure Coefficient and Cp Calculator

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Isothermal Compressibility Important Calculator of Compressibility Isentropic Compressibility

✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility [K_S]			+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 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%

✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility given Thermal Pressure Coefficient and Cp [K_T]

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Isothermal Compressibility given Thermal Pressure Coefficient and Cp Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))
K_T = 1/((1/K_S)-(((Λ^2)*T)/(ρ*(C_p-[R]))))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Isentropic Compressibility: 70 Square Meter per Newton --> 70 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 Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_T = 1/((1/K_S)-(((Λ^2)*T)/(ρ*(C_p-[R])))) --> 1/((1/70)-(((0.01^2)*85)/(997*(122-[R]))))

Evaluating ... ...

K_T = 70.0003674657854

STEP 3: Convert Result to Output's Unit

70.0003674657854 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

70.0003674657854 ≈ 70.00037 Square Meter per Newton <-- Isothermal Compressibility

(Calculation completed in 00.006 seconds)

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< Isothermal Compressibility Calculators

Isothermal Compressibility given Thermal Pressure Coefficient and Cp

LaTeX 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

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

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume

LaTeX 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

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

Isothermal Compressibility given Thermal Pressure Coefficient and Cp Formula

LaTeX Go

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 Thermal Pressure Coefficient and Cp?

Isothermal Compressibility given Thermal Pressure Coefficient and Cp calculator uses Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R])))) to calculate the Isothermal Compressibility, The Isothermal compressibility given thermal pressure coefficient and Cp is the change in volume due to change in pressure at constant temperature. Isothermal Compressibility is denoted by K_T symbol.

How to calculate Isothermal Compressibility given Thermal Pressure Coefficient and Cp using this online calculator? To use this online calculator for Isothermal Compressibility given Thermal Pressure Coefficient and Cp, enter Isentropic Compressibility (K_S), Thermal Pressure Coefficient (Λ), Temperature (T), Density (ρ) & Molar Specific Heat Capacity at Constant Pressure (C_p) and hit the calculate button. Here is how the Isothermal Compressibility given Thermal Pressure Coefficient and Cp calculation can be explained with given input values -> 70.00037 = 1/((1/70)-(((0.01^2)*85)/(997*(122-[R])))).

FAQ

What is Isothermal Compressibility given Thermal Pressure Coefficient and Cp?

The Isothermal compressibility given thermal pressure coefficient and Cp is the change in volume due to change in pressure at constant temperature and is represented as K_T = 1/((1/K_S)-(((Λ^2)*T)/(ρ*(C_p-[R])))) or Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R])))). The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy, 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 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.

How to calculate Isothermal Compressibility given Thermal Pressure Coefficient and Cp?

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

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

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

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