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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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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< Ideal Gas Calculators

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Adiabatic Index Formula

LaTeX Go

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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