Specific Heat Capacity at Constant Pressure using Adiabatic Index Calculator

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✖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.ⓘ Heat Capacity Ratio [γ]

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✖Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.ⓘ Specific Heat Capacity at Constant Pressure using Adiabatic Index [C_p]

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Formula

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Specific Heat Capacity at Constant Pressure using Adiabatic Index

Formula

`"C"_{"p"} = ("γ"*"[R]")/("γ"-1)`

Example

`"0.029101kJ/kg*K"=("1.4"*"[R]")/("1.4"-1)`

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Specific Heat Capacity at Constant Pressure using Adiabatic Index Solution

STEP 0: Pre-Calculation Summary

Formula Used

Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1)
C_p = (γ*[R])/(γ-1)
This formula uses 1 Constants, 2 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_p = (γ*[R])/(γ-1) --> (1.4*[R])/(1.4-1)

Evaluating ... ...

C_p = 29.1006191635363

STEP 3: Convert Result to Output's Unit

29.1006191635363 Joule per Kilogram per K -->0.0291006191635363 Kilojoule per Kilogram per K (Check conversion here)

FINAL ANSWER

0.0291006191635363 ≈ 0.029101 Kilojoule per Kilogram per K <-- Specific Heat Capacity at Constant Pressure

(Calculation completed in 00.004 seconds)

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< 12 Thermodynamics Factor Calculators

Entropy Change in Isobaric Processin Terms of Volume

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Volume of System/Initial Volume of System)

Entropy Change for Isochoric Process given Pressures

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Pressure of System/Initial Pressure of System)

Entropy Change in Isobaric Process given Temperature

Go Entropy Change Constant Pressure = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*ln(Final Temperature/Initial Temperature)

Entropy Change for Isochoric Process given Temperature

Go Entropy Change Constant Volume = Mass of Gas*Molar Specific Heat Capacity at Constant Volume*ln(Final Temperature/Initial Temperature)

Work Done in Adiabatic Process given Adiabatic Index

Go Work = (Mass of Gas*[R]*(Initial Temperature-Final Temperature))/(Heat Capacity Ratio-1)

Entropy Change for Isothermal Process given Volumes

Go Change in Entropy = Mass of Gas*[R]*ln(Final Volume of System/Initial Volume of System)

Heat Transfer at Constant Pressure

Go Heat Transfer = Mass of Gas*Molar Specific Heat Capacity at Constant Pressure*(Final Temperature-Initial Temperature)

Isobaric Work for given Mass and Temperatures

Go Isobaric Work = Amount of Gaseous Substance in Moles*[R]*(Final Temperature-Initial Temperature)

Specific Heat Capacity at Constant Pressure using Adiabatic Index

Go Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1)

Isobaric Work for given Pressure and Volumes

Go Isobaric Work = Absolute Pressure*(Final Volume of System-Initial Volume of System)

Specific Heat Capacity at Constant Pressure

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

Mass Flow Rate in Steady Flow

Go Mass Flow Rate = Cross Sectional Area*Fluid Velocity/Specific Volume

Specific Heat Capacity at Constant Pressure using Adiabatic Index Formula

Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1)
C_p = (γ*[R])/(γ-1)

Specific heat capacity at constant pressure

Specific heat capacity at constant pressure is derived as
cp = (adiabatic_index * [R]) / (adiabatic_index-1); for the process of ramming.

How to Calculate Specific Heat Capacity at Constant Pressure using Adiabatic Index?

Specific Heat Capacity at Constant Pressure using Adiabatic Index calculator uses Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1) to calculate the Specific Heat Capacity at Constant Pressure, Specific Heat Capacity at Constant Pressure using Adiabatic Index is defined as the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree). Specific Heat Capacity at Constant Pressure is denoted by C_p symbol.

How to calculate Specific Heat Capacity at Constant Pressure using Adiabatic Index using this online calculator? To use this online calculator for Specific Heat Capacity at Constant Pressure using Adiabatic Index, enter Heat Capacity Ratio (γ) and hit the calculate button. Here is how the Specific Heat Capacity at Constant Pressure using Adiabatic Index calculation can be explained with given input values -> 2.9E-5 = (1.4*[R])/(1.4-1).

FAQ

What is Specific Heat Capacity at Constant Pressure using Adiabatic Index?

Specific Heat Capacity at Constant Pressure using Adiabatic Index is defined as the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree) and is represented as C_p = (γ*[R])/(γ-1) or Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1). 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.

How to calculate Specific Heat Capacity at Constant Pressure using Adiabatic Index?

Specific Heat Capacity at Constant Pressure using Adiabatic Index is defined as the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree) is calculated using Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1). To calculate Specific Heat Capacity at Constant Pressure using Adiabatic Index, you need Heat Capacity Ratio (γ). With our tool, you need to enter the respective value for Heat Capacity Ratio 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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