Adiabatic Exponent or Adiabatic Index Calculator

✖Specific Heat at Constant Pressure is the specific heat when pressure is constant.ⓘ Specific Heat at Constant Pressure [C_p]			+10% -10%
✖Specific Heat at Constant Volume is the specific heat when volume is constant.ⓘ Specific Heat at Constant Volume [C_v]			+10% -10%

✖Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).ⓘ Adiabatic Exponent or Adiabatic Index [k]

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Formula

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Adiabatic Exponent or Adiabatic Index

Formula

`"k" = "C"_{"p"}/"C"_{"v"}`

Example

`"12.63158"="24J/kg*°C"/"1.9J/kg*°C"`

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Adiabatic Exponent or Adiabatic Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume
k = C_p/C_v
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).
Specific Heat at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat at Constant Pressure is the specific heat when pressure is constant.
Specific Heat at Constant Volume - (Measured in Joule per Kilogram per K) - Specific Heat at Constant Volume is the specific heat when volume is constant.

STEP 1: Convert Input(s) to Base Unit

Specific Heat at Constant Pressure: 24 Joule per Kilogram per Celcius --> 24 Joule per Kilogram per K (Check conversion here)
Specific Heat at Constant Volume: 1.9 Joule per Kilogram per Celcius --> 1.9 Joule per Kilogram per K (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = C_p/C_v --> 24/1.9

Evaluating ... ...

k = 12.6315789473684

STEP 3: Convert Result to Output's Unit

12.6315789473684 --> No Conversion Required

FINAL ANSWER

12.6315789473684 ≈ 12.63158 <-- Adiabatic Index

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Fluid Pressure and Its Measurement » Equilibrium of Compressible Fluid Atmospheric Equilibrium » Adiabatic Exponent or Adiabatic Index

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< 8 Equilibrium of Compressible Fluid Atmospheric Equilibrium Calculators

Atmospheric Pressure According to Polytropic Process

Go Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a)

Initial Pressure according to Polytropic Process

Go Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a

Density According to Polytropic Process

Go Density of Fluid = Density 1*(Atmospheric Pressure/Initial Pressure of System)^ (1/Constant a)

Initial Density According to Polytropic Process

Go Initial Pressure of System = Atmospheric Pressure*(Density 1/Density of Fluid)^Constant a

Temperature Lapse Rate

Go Temperature Lapse Rate = Specific Gravity of Fluid/Constant b*((Constant a-1)/Constant a)

Height of Fluid Column of Constant Specific Weight

Go Height of Fluid Column = Pressure of Gas/(Density of Gas*Acceleration due to Gravity)

Positive Constant

Go Constant a = 1/(1-Rate Constant*Temperature Lapse Rate/ Specific Gravity of Fluid)

Adiabatic Exponent or Adiabatic Index

Go Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume

Adiabatic Exponent or Adiabatic Index Formula

Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume
k = C_p/C_v

What is Adiabatic Atmosphere?

An adiabatic process is defined as a process in which no heat transfer takes place. This does not mean that the temperature is constant, but rather that no heat is transferred into or out from the system.

How to Calculate Adiabatic Exponent or Adiabatic Index?

Adiabatic Exponent or Adiabatic Index calculator uses Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume to calculate the Adiabatic Index, The Adiabatic Exponent or Adiabatic Index formula is defined as the ratio the ratio between specific heat at constant pressure and specific heat at constant volume. Adiabatic Index is denoted by k symbol.

How to calculate Adiabatic Exponent or Adiabatic Index using this online calculator? To use this online calculator for Adiabatic Exponent or Adiabatic Index, enter Specific Heat at Constant Pressure (C_p) & Specific Heat at Constant Volume (C_v) and hit the calculate button. Here is how the Adiabatic Exponent or Adiabatic Index calculation can be explained with given input values -> 12.63158 = 24/1.9.

FAQ

What is Adiabatic Exponent or Adiabatic Index?

The Adiabatic Exponent or Adiabatic Index formula is defined as the ratio the ratio between specific heat at constant pressure and specific heat at constant volume and is represented as k = C_p/C_v or Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume. Specific Heat at Constant Pressure is the specific heat when pressure is constant & Specific Heat at Constant Volume is the specific heat when volume is constant.

How to calculate Adiabatic Exponent or Adiabatic Index?

The Adiabatic Exponent or Adiabatic Index formula is defined as the ratio the ratio between specific heat at constant pressure and specific heat at constant volume is calculated using Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume. To calculate Adiabatic Exponent or Adiabatic Index, you need Specific Heat at Constant Pressure (C_p) & Specific Heat at Constant Volume (C_v). With our tool, you need to enter the respective value for Specific Heat at Constant Pressure & Specific Heat at Constant Volume and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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