Adiabatic Index Calculator

✖Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.ⓘ Molar Specific Heat Capacity at Constant Pressure [C_{p molar}]			+10% -10%
✖Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.ⓘ Molar Specific Heat Capacity at Constant Volume [C_{v molar}]			+10% -10%

✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Adiabatic Index [γ]

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Formula

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Adiabatic Index

Formula

`"γ" = "C"_{"p molar"}/"C"_{"v molar"}`

Example

`"1.184466"="122J/K*mol"/"103J/K*mol"`

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Adiabatic Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume
γ = C_{p molar}/C_{v molar}
This formula uses 3 Variables

Variables Used

Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

STEP 1: Convert Input(s) to Base Unit

Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = C_{p molar}/C_{v molar} --> 122/103

Evaluating ... ...

γ = 1.18446601941748

STEP 3: Convert Result to Output's Unit

1.18446601941748 --> No Conversion Required

FINAL ANSWER

1.18446601941748 ≈ 1.184466 <-- Heat Capacity Ratio

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 20 Ideal Gas Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Final Temperature in Adiabatic Process (using pressure)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Final Pressure of System/Initial Pressure of System)^(1-1/(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))

Final Temperature in Adiabatic Process (using volume)

Go Final Temperature in Adiabatic Process = Initial temperature of Gas*(Initial Volume of System/Final Volume of System)^((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Work Done in Isothermal Process (using volume)

Go Work done in Thermodynamic Process = Number of Moles of Ideal Gas*[R]*Temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Heat Transferred in Isothermal Process (using Pressure)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Heat Transferred in Isothermal Process (using Volume)

Go Heat Transferred in Thermodynamic Process = [R]*Initial temperature of Gas*ln(Final Volume of System/Initial Volume of System)

Work done in Isothermal Process (using Pressure)

Go Work done in Thermodynamic Process = [R]*Temperature of Gas*ln(Initial Pressure of System/Final Pressure of System)

Relative Humidity

Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)

Heat Transfer in Isobaric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Heat Transfer in Isochoric Process

Go Heat Transferred in Thermodynamic Process = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Change in Internal Energy of System

Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference

Enthalpy of System

Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference

Ideal Gas Law for Calculating Volume

Go Ideal Gas Law for Calculating Volume = [R]*Temperature of Gas/Total Pressure of Ideal Gas

Ideal Gas Law for Calculating Pressure

Go Ideal Gas Law for calculating Pressure = [R]*(Temperature of Gas)/Total Volume of System

Adiabatic Index

Go Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Pressure

Go Molar Specific Heat Capacity at Constant Pressure = [R]+Molar Specific Heat Capacity at Constant Volume

Specific Heat Capacity at Constant Volume

Go Molar Specific Heat Capacity at Constant Volume = Molar Specific Heat Capacity at Constant Pressure-[R]

Henry Law Constant using Mole Fraction and Partial Pressure of Gas

Go Henry Law Constant = Partial Pressure/Mole Fraction of Component in Liquid Phase

Mole Fraction of Dissolved Gas using Henry Law

Go Mole Fraction of Component in Liquid Phase = Partial Pressure/Henry Law Constant

Partial Pressure using Henry Law

Go Partial Pressure = Henry Law Constant*Mole Fraction of Component in Liquid Phase

Adiabatic Index Formula

Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume
γ = C_{p molar}/C_{v molar}

What is the adiabatic index?

How to Calculate Adiabatic Index?

Adiabatic Index calculator uses Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume to calculate the Heat Capacity Ratio, The adiabatic index, the ratio of specific heats, or Laplace's coefficient,is the ratio of the heat capacity at constant pressure (C_p) to heat capacity at constant volume (C_v). It is sometimes also known as the isentropic expansion factor and is denoted by γ (gamma) for an ideal gas. Heat Capacity Ratio is denoted by γ symbol.

How to calculate Adiabatic Index using this online calculator? To use this online calculator for Adiabatic Index, enter Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}) and hit the calculate button. Here is how the Adiabatic Index calculation can be explained with given input values -> 1.184466 = 122/103.

FAQ

What is Adiabatic Index?

The adiabatic index, the ratio of specific heats, or Laplace's coefficient,is the ratio of the heat capacity at constant pressure (C_p) to heat capacity at constant volume (C_v). It is sometimes also known as the isentropic expansion factor and is denoted by γ (gamma) for an ideal gas and is represented as γ = C_{p molar}/C_{v molar} or Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume. Molar Specific Heat Capacity at Constant Pressure, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure & Molar Specific Heat Capacity at Constant Volume, (of a gas) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.

How to calculate Adiabatic Index?

The adiabatic index, the ratio of specific heats, or Laplace's coefficient,is the ratio of the heat capacity at constant pressure (C_p) to heat capacity at constant volume (C_v). It is sometimes also known as the isentropic expansion factor and is denoted by γ (gamma) for an ideal gas is calculated using Heat Capacity Ratio = Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume. To calculate Adiabatic Index, you need Molar Specific Heat Capacity at Constant Pressure (C_{p molar}) & Molar Specific Heat Capacity at Constant Volume (C_{v molar}). With our tool, you need to enter the respective value for Molar Specific Heat Capacity at Constant Pressure & Molar Specific Heat Capacity 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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