Isentropic Compressibility given Molar Heat Capacity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Isentropic Compressibility = Isothermal Compressibility/Ratio of Molar Heat Capacity
KS = KT/γ
This formula uses 3 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.
Ratio of Molar Heat Capacity - The Ratio of Molar Heat Capacity is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a 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
Ratio of Molar Heat Capacity: 1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KS = KT/γ --> 75/1.5
Evaluating ... ...
KS = 50
STEP 3: Convert Result to Output's Unit
50 Square Meter per Newton --> No Conversion Required
FINAL ANSWER
50 Square Meter per Newton <-- Isentropic Compressibility
(Calculation completed in 00.004 seconds)

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

Isentropic Compressibility given Molar Heat Capacity Ratio Formula

​LaTeX ​Go
Isentropic Compressibility = Isothermal Compressibility/Ratio of Molar Heat Capacity
KS = KT/γ

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 Ratio?

Isentropic Compressibility given Molar Heat Capacity Ratio calculator uses Isentropic Compressibility = Isothermal Compressibility/Ratio of Molar Heat Capacity to calculate the Isentropic Compressibility, The Isentropic compressibility given Molar Heat Capacity Ratio is the change in volume due to change in pressure at constant temperature. Isentropic Compressibility is denoted by KS symbol.

How to calculate Isentropic Compressibility given Molar Heat Capacity Ratio using this online calculator? To use this online calculator for Isentropic Compressibility given Molar Heat Capacity Ratio, enter Isothermal Compressibility (KT) & Ratio of Molar Heat Capacity (γ) and hit the calculate button. Here is how the Isentropic Compressibility given Molar Heat Capacity Ratio calculation can be explained with given input values -> 50 = 75/1.5.

FAQ

What is Isentropic Compressibility given Molar Heat Capacity Ratio?
The Isentropic compressibility given Molar Heat Capacity Ratio is the change in volume due to change in pressure at constant temperature and is represented as KS = KT or Isentropic Compressibility = Isothermal Compressibility/Ratio of Molar Heat Capacity. The isothermal compressibility is the change in volume due to change in pressure at constant temperature & The Ratio of Molar Heat Capacity is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.
How to calculate Isentropic Compressibility given Molar Heat Capacity Ratio?
The Isentropic compressibility given Molar Heat Capacity Ratio is the change in volume due to change in pressure at constant temperature is calculated using Isentropic Compressibility = Isothermal Compressibility/Ratio of Molar Heat Capacity. To calculate Isentropic Compressibility given Molar Heat Capacity Ratio, you need Isothermal Compressibility (KT) & Ratio of Molar Heat Capacity (γ). With our tool, you need to enter the respective value for Isothermal Compressibility & Ratio of Molar Heat Capacity 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 & Ratio of Molar Heat Capacity. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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]))))
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