Adiabatic Index of Real Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume
k = Cp/Cv
This formula uses 3 Variables
Variables Used
Adiabatic Index - Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).
Heat Capacity Constant Pressure - (Measured in Joule per Kilogram per K) - Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change.
Heat Capacity Constant Volume - (Measured in Joule per Kilogram per K) - Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.
STEP 1: Convert Input(s) to Base Unit
Heat Capacity Constant Pressure: 1001 Joule per Kilogram per K --> 1001 Joule per Kilogram per K No Conversion Required
Heat Capacity Constant Volume: 718 Joule per Kilogram per K --> 718 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = Cp/Cv --> 1001/718
Evaluating ... ...
k = 1.3941504178273
STEP 3: Convert Result to Output's Unit
1.3941504178273 --> No Conversion Required
FINAL ANSWER
1.3941504178273 1.39415 <-- Adiabatic Index
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Specific Heat Capacity Calculators

Coefficient of Thermal Expansion of Real Gas
​ LaTeX ​ Go Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))
Heat Capacity at Constant Pressure of Real Gas
​ LaTeX ​ Go Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume
Heat Capacity at Constant Volume of Real Gas
​ LaTeX ​ Go Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)
Difference between Cp and Cv of Real Gas
​ LaTeX ​ Go Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility

Adiabatic Index of Real Gas Formula

​LaTeX ​Go
Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume
k = Cp/Cv

What are postulates of Kinetic molecular theory of gas?

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 Adiabatic Index of Real Gas?

Adiabatic Index of Real Gas calculator uses Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume to calculate the Adiabatic Index, The Adiabatic Index of Real Gas is the ratio of the heat capacity at constant pressure (Cp) to heat capacity at constant volume (Cv). Adiabatic Index is denoted by k symbol.

How to calculate Adiabatic Index of Real Gas using this online calculator? To use this online calculator for Adiabatic Index of Real Gas, enter Heat Capacity Constant Pressure (Cp) & Heat Capacity Constant Volume (Cv) and hit the calculate button. Here is how the Adiabatic Index of Real Gas calculation can be explained with given input values -> 1.39415 = 1001/718.

FAQ

What is Adiabatic Index of Real Gas?
The Adiabatic Index of Real Gas is the ratio of the heat capacity at constant pressure (Cp) to heat capacity at constant volume (Cv) and is represented as k = Cp/Cv or Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume. Heat capacity constant pressure is the amount of heat energy absorbed/released per unit mass of a substance where the pressure does not change & Heat capacity constant volume is the amount of heat energy absorbed/released per unit mass of a substance where the volume does not change.
How to calculate Adiabatic Index of Real Gas?
The Adiabatic Index of Real Gas is the ratio of the heat capacity at constant pressure (Cp) to heat capacity at constant volume (Cv) is calculated using Adiabatic Index = Heat Capacity Constant Pressure/Heat Capacity Constant Volume. To calculate Adiabatic Index of Real Gas, you need Heat Capacity Constant Pressure (Cp) & Heat Capacity Constant Volume (Cv). With our tool, you need to enter the respective value for Heat Capacity Constant Pressure & Heat Capacity 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 Adiabatic Index?
In this formula, Adiabatic Index uses Heat Capacity Constant Pressure & Heat Capacity Constant Volume. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Adiabatic Index = Heat Capacity Constant Pressure/(Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility))
  • Adiabatic Index = (((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume)/Heat Capacity Constant Volume
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