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

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Isothermal Compressibility Important Calculator of Compressibility Isentropic Compressibility

✖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%
✖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 [K_S]			+10% -10%

✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume [K_T]

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

STEP 0: Pre-Calculation Summary

Formula Used

Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility
K_T = (C_p/C_v)*K_S
This formula uses 4 Variables

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.
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.
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.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.

STEP 1: Convert Input(s) to Base Unit

Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole 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
Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_T = (C_p/C_v)*K_S --> (122/103)*70

Evaluating ... ...

K_T = 82.9126213592233

STEP 3: Convert Result to Output's Unit

82.9126213592233 Square Meter per Newton --> No Conversion Required

FINAL ANSWER

82.9126213592233 ≈ 82.91262 Square Meter per Newton <-- Isothermal Compressibility

(Calculation completed in 00.004 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 Molar Heat Capacity at Constant Pressure and Volume Formula

LaTeX Go

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

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 Molar Heat Capacity at Constant Pressure and Volume?

Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume calculator uses Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility to calculate the Isothermal Compressibility, The Isothermal compressibility given Molar Heat Capacity at constant Pressure and Volume 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 Molar Heat Capacity at Constant Pressure and Volume using this online calculator? To use this online calculator for Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume, enter Molar Specific Heat Capacity at Constant Pressure (C_p), Molar Specific Heat Capacity at Constant Volume (C_v) & Isentropic Compressibility (K_S) and hit the calculate button. Here is how the Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume calculation can be explained with given input values -> 82.91262 = (122/103)*70.

FAQ

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

The Isothermal 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_T = (C_p/C_v)*K_S or Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility. 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 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 & The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.

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

The Isothermal 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 Isothermal Compressibility = (Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)*Isentropic Compressibility. To calculate Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume, you need Molar Specific Heat Capacity at Constant Pressure (C_p), Molar Specific Heat Capacity at Constant Volume (C_v) & Isentropic Compressibility (K_S). With our tool, you need to enter the respective value for Molar Specific Heat Capacity at Constant Pressure, Molar Specific Heat Capacity at Constant Volume & Isentropic 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 Isothermal Compressibility?

In this formula, Isothermal Compressibility uses Molar Specific Heat Capacity at Constant Pressure, Molar Specific Heat Capacity at Constant Volume & Isentropic Compressibility. 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 = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))

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