Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv 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%
✖Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.ⓘ Volumetric Coefficient of Thermal Expansion [α]			+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 Volumetric Coefficient of Thermal Expansion and Cv [K_S]

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

Formula

`"K"_{"S"} = "K"_{"T"}-((("α"^2)*"T")/("ρ"*("C"_{"v"}+"[R]")))`

Example

`"74.52131m²/N"="75m²/N"-(((("25K⁻¹")^2)*"85K")/("997kg/m³"*("103J/K*mol"+"[R]")))`

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Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R])))
K_S = K_T-(((α^2)*T)/(ρ*(C_v+[R])))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
Volumetric Coefficient of Thermal Expansion - (Measured in 1 Per Kelvin) - Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature.
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
Volumetric Coefficient of Thermal Expansion: 25 1 Per Kelvin --> 25 1 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 = K_T-(((α^2)*T)/(ρ*(C_v+[R]))) --> 75-(((25^2)*85)/(997*(103+[R])))

Evaluating ... ...

K_S = 74.521312385557

STEP 3: Convert Result to Output's Unit

74.521312385557 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

74.521312385557 ≈ 74.52131 Square Meter per Newton <-- Isentropic Compressibility

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Compressibility » Isentropic Compressibility » Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

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< 8 Isentropic Compressibility Calculators

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv

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

Isentropic Compressibility given Thermal Pressure Coefficient and Cp

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

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

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

Isentropic Compressibility given Thermal Pressure Coefficient and Cv

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

Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume

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

Isentropic Compressibility given Molar Heat Capacity Ratio

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

Molar Volume of Perfect Gas given Compressibility Factor

Go Molar Volume given CE = Molar Volume of Real Gas/Compressibility Factor

Isentropic Compressibility

Go Isentropic Compressibility in KTOG = 1/(Density*(Speed of Sound^2))

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv 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 Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv?

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv calculator uses Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))) to calculate the Isentropic Compressibility, The Isentropic compressibility given volumetric coefficient of thermal expansion 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 Volumetric Coefficient of Thermal Expansion and Cv using this online calculator? To use this online calculator for Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv, enter Isothermal Compressibility (K_T), Volumetric Coefficient of Thermal Expansion (α), 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 Volumetric Coefficient of Thermal Expansion and Cv calculation can be explained with given input values -> 74.52131 = 75-(((25^2)*85)/(997*(103+[R]))).

FAQ

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

The Isentropic compressibility given volumetric coefficient of thermal expansion and Cv is the change in volume due to change in pressure at constant entropy and is represented as K_S = K_T-(((α^2)*T)/(ρ*(C_v+[R]))) or Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))). The isothermal compressibility is the change in volume due to change in pressure at constant temperature, Volumetric coefficient of thermal expansion is the tendency of matter to change its volume in response to a change in temperature, 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 Volumetric Coefficient of Thermal Expansion and Cv?

The Isentropic compressibility given volumetric coefficient of thermal expansion and Cv is the change in volume due to change in pressure at constant entropy is calculated using Isentropic Compressibility = Isothermal Compressibility-(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R]))). To calculate Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cv, you need Isothermal Compressibility (K_T), Volumetric Coefficient of Thermal Expansion (α), 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, Volumetric Coefficient of Thermal Expansion, 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, Volumetric Coefficient of Thermal Expansion, Temperature, Density & Molar Specific Heat Capacity at Constant Volume. We can use 5 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
Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))
Isentropic Compressibility = 1/((1/Isothermal Compressibility)+(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume)))

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