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Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume Calculator

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Isentropic Compressibility Important Calculator of Compressibility Isothermal Compressibility

✖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%
✖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 [K_T]			+10% -10%

✖The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.ⓘ Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume [K_S]

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Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isentropic Compressibility = (Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility
K_S = (C_v/C_p)*K_T
This formula uses 4 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.
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.
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.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

STEP 1: Convert Input(s) to Base Unit

Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole 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
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_S = (C_v/C_p)*K_T --> (103/122)*75

Evaluating ... ...

K_S = 63.3196721311475

STEP 3: Convert Result to Output's Unit

63.3196721311475 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

63.3196721311475 ≈ 63.31967 Square Meter per Newton <-- Isentropic Compressibility

(Calculation completed in 00.020 seconds)

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< Isentropic Compressibility Calculators

Isentropic Compressibility given Volumetric Coefficient of Thermal Expansion and Cp

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

Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume

LaTeX 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

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

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

Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume Formula

LaTeX Go

Isentropic Compressibility = (Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility
K_S = (C_v/C_p)*K_T

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 Molar Heat Capacity at Constant Pressure and Volume?

Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume calculator uses Isentropic Compressibility = (Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility to calculate the Isentropic Compressibility, The Isentropic compressibility given Molar Heat Capacity at constant Pressure and Volume is the change in volume due to change in pressure at constant temperature. Isentropic Compressibility is denoted by K_S symbol.

How to calculate Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume using this online calculator? To use this online calculator for Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume, enter Molar Specific Heat Capacity at Constant Volume (C_v), Molar Specific Heat Capacity at Constant Pressure (C_p) & Isothermal Compressibility (K_T) and hit the calculate button. Here is how the Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume calculation can be explained with given input values -> 63.31967 = (103/122)*75.

FAQ

What is Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

The Isentropic compressibility given Molar Heat Capacity at constant Pressure and Volume is the change in volume due to change in pressure at constant temperature and is represented as K_S = (C_v/C_p)*K_T or Isentropic Compressibility = (Molar Specific Heat Capacity at Constant Volume/Molar Specific Heat Capacity at Constant Pressure)*Isothermal Compressibility. 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 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 & The isothermal compressibility is the change in volume due to change in pressure at constant temperature.

How to calculate Isentropic Compressibility given Molar Heat Capacity at Constant Pressure and Volume?

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

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