Isothermal Compressibility given Molar Heat Capacity Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility
KT = γ*KS
This formula uses 3 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.
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.
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
Ratio of Molar Heat Capacity: 1.5 --> 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
KT = γ*KS --> 1.5*70
Evaluating ... ...
KT = 105
STEP 3: Convert Result to Output's Unit
105 Square Meter per Newton --> No Conversion Required
FINAL ANSWER
105 Square Meter per Newton <-- Isothermal Compressibility
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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7 Isothermal Compressibility Calculators

Isothermal Compressibility given Volumetric Coefficient of Thermal Expansion and Cv
Go Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R])))
Isothermal Compressibility given Thermal Pressure Coefficient and Cp
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
Go Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Pressure))
Isothermal Compressibility given Thermal Pressure Coefficient and Cv
Go Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume)))
Isothermal Compressibility given Relative Size of Fluctuations in Particle Density
Go Isothermal Compressibility in KTOG = ((Relative Size of Fluctuations/Volume of Gas))/([BoltZ]*Temperature*(Density^2))
Isothermal Compressibility given Molar Heat Capacity at Constant Pressure and Volume
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
Go Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility

Isothermal Compressibility given Molar Heat Capacity Ratio Formula

Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility
KT = γ*KS

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 Ratio?

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

How to calculate Isothermal Compressibility given Molar Heat Capacity Ratio using this online calculator? To use this online calculator for Isothermal Compressibility given Molar Heat Capacity Ratio, enter Ratio of Molar Heat Capacity (γ) & Isentropic Compressibility (KS) and hit the calculate button. Here is how the Isothermal Compressibility given Molar Heat Capacity Ratio calculation can be explained with given input values -> 105 = 1.5*70.

FAQ

What is Isothermal Compressibility given Molar Heat Capacity Ratio?
The Isothermal compressibility given Molar Heat Capacity Ratio is the change in volume due to change in pressure at constant entropy and is represented as KT = γ*KS or Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility. 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 & 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 Ratio?
The Isothermal compressibility given Molar Heat Capacity Ratio is the change in volume due to change in pressure at constant entropy is calculated using Isothermal Compressibility = Ratio of Molar Heat Capacity*Isentropic Compressibility. To calculate Isothermal Compressibility given Molar Heat Capacity Ratio, you need Ratio of Molar Heat Capacity (γ) & Isentropic Compressibility (KS). With our tool, you need to enter the respective value for Ratio of Molar Heat Capacity & 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 Ratio of Molar Heat Capacity & Isentropic Compressibility. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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
  • Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Pressure-[R]))))
  • Isothermal Compressibility = Isentropic Compressibility+(((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/(Density*(Molar Specific Heat Capacity at Constant Volume+[R])))
  • Isothermal Compressibility = 1/((1/Isentropic Compressibility)-(((Thermal Pressure Coefficient^2)*Temperature)/(Density*Molar Specific Heat Capacity at Constant Volume)))
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