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Adiabatic Exponent or Adiabatic Index Formula

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Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV). Check FAQs

k = \frac{C p}{C v}

k - Adiabatic Index?C_p - Specific Heat at Constant Pressure?C_v - Specific Heat at Constant Volume?

Adiabatic Exponent or Adiabatic Index Example

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Here is how the Adiabatic Exponent or Adiabatic Index equation looks like with Values.

Here is how the Adiabatic Exponent or Adiabatic Index equation looks like with Units.

Here is how the Adiabatic Exponent or Adiabatic Index equation looks like.

12.6316 = \frac{24}{1.9}

12.6316 = \frac{24J/kg*°C}{1.9J/kg*°C}

12.6316 = \frac{24}{1.9}

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Adiabatic Exponent or Adiabatic Index Solution

Follow our step by step solution on how to calculate Adiabatic Exponent or Adiabatic Index?

FIRST Step Consider the formula

k = \frac{C p}{C v}

Next Step Substitute values of Variables

∴

k = \frac{24J/kg*°C}{1.9J/kg*°C}

Next Step Convert Units

∴

k = \frac{24J/(kg*K)}{1.9J/(kg*K)}

Next Step Prepare to Evaluate

∴

k = \frac{24}{1.9}

Next Step Evaluate

∴

k = 12.6315789473684

LAST Step Rounding Answer

∴

k = 12.6316

Adiabatic Exponent or Adiabatic Index Formula Elements

Variables

Adiabatic Index

Adiabatic Index is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV).

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Adiabatic Index

Specific Heat at Constant Pressure

Specific Heat at Constant Pressure is the specific heat when pressure is constant.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: J/kg*°C

Note: Value should be greater than 0.

Formulas to find Specific Heat at Constant Pressure

Specific Heat at Constant Volume

Specific Heat at Constant Volume is the specific heat when volume is constant.

Symbol: C_v

Measurement: Specific Heat CapacityUnit: J/kg*°C

Note: Value can be positive or negative.

Formulas to find Specific Heat at Constant Volume

Other formulas in Equilibrium of Compressible Fluid Atmospheric Equilibrium category

Go Height of Fluid Column of Constant Specific Weight

h c = \frac{P 0}{ɗ 0 \cdot g}

Go Atmospheric Pressure According to Polytropic Process

P atm = \frac{P i \cdot {ρ 0}^{a}}{{ρ 1}^{a}}

Go Density According to Polytropic Process

ρ 0 = ρ 1 \cdot {(\frac{P atm}{P i})}^{\frac{1}{a}}

Go Initial Pressure according to Polytropic Process

P i = \frac{P atm \cdot {ρ 1}^{a}}{{ρ 0}^{a}}

How to Evaluate Adiabatic Exponent or Adiabatic Index?

Adiabatic Exponent or Adiabatic Index evaluator uses Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume to evaluate 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 evaluate Adiabatic Exponent or Adiabatic Index using this online evaluator? To use this online evaluator 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.

FAQs on Adiabatic Exponent or Adiabatic Index

What is the formula to find Adiabatic Exponent or Adiabatic Index?

The formula of Adiabatic Exponent or Adiabatic Index is expressed as Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume. Here is an example- 12.63158 = 24/1.9.

How to calculate Adiabatic Exponent or Adiabatic Index?

With Specific Heat at Constant Pressure (C_p) & Specific Heat at Constant Volume (C_v) we can find Adiabatic Exponent or Adiabatic Index using the formula - Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume.

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