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Specific Heat Capacity at Constant Pressure using Adiabatic Index Formula

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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. Check FAQs

C p = \frac{γ \cdot [R]}{γ - 1}

C_p - Specific Heat Capacity at Constant Pressure?γ - Heat Capacity Ratio?[R] - Universal gas constant?

Specific Heat Capacity at Constant Pressure using Adiabatic Index Example

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Here is how the Specific Heat Capacity at Constant Pressure using Adiabatic Index equation looks like with Values.

Here is how the Specific Heat Capacity at Constant Pressure using Adiabatic Index equation looks like with Units.

Here is how the Specific Heat Capacity at Constant Pressure using Adiabatic Index equation looks like.

0.0291 = \frac{1.4 \cdot 8.3145}{1.4 - 1}

0.0291kJ/kg*K = \frac{1.4 \cdot 8.3145}{1.4 - 1}

0.0291 = \frac{1.4 \cdot 8.3145}{1.4 - 1}

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Specific Heat Capacity at Constant Pressure using Adiabatic Index Solution

Follow our step by step solution on how to calculate Specific Heat Capacity at Constant Pressure using Adiabatic Index?

FIRST Step Consider the formula

C p = \frac{γ \cdot [R]}{γ - 1}

Next Step Substitute values of Variables

∴

C p = \frac{1.4 \cdot [R]}{1.4 - 1}

Next Step Substitute values of Constants

∴

C p = \frac{1.4 \cdot 8.3145}{1.4 - 1}

Next Step Prepare to Evaluate

∴

C p = \frac{1.4 \cdot 8.3145}{1.4 - 1}

Next Step Evaluate

∴

C p = 29.1006191635363J/(kg*K)

Next Step Convert to Output's Unit

∴

C p = 0.0291006191635363kJ/kg*K

LAST Step Rounding Answer

∴

C p = 0.0291kJ/kg*K

Specific Heat Capacity at Constant Pressure using Adiabatic Index Formula Elements

Variables

Constants

Specific Heat Capacity at Constant Pressure

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.

Symbol: C_p

Measurement: Specific Heat CapacityUnit: kJ/kg*K

Note: Value can be positive or negative.

Formulas to find Specific Heat Capacity 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.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Thermodynamics Factor category

Go Entropy Change in Isobaric Process given Temperature

δs pres = m gas \cdot C pm \cdot \ln (\frac{T f}{T i})

Go Entropy Change in Isobaric Processin Terms of Volume

δs pres = m gas \cdot C pm \cdot \ln (\frac{V f}{V i})

Go Entropy Change for Isochoric Process given Pressures

δs vol = m gas \cdot C vs \cdot \ln (\frac{P f}{P i})

Go Entropy Change for Isothermal Process given Volumes

ΔS = m gas \cdot [R] \cdot \ln (\frac{V f}{V i})

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

Specific Heat Capacity at Constant Pressure using Adiabatic Index evaluator uses Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1) to evaluate the Specific Heat Capacity at Constant Pressure, Specific Heat Capacity at Constant Pressure using Adiabatic Index formula is defined as the amount of heat required to raise the temperature of a unit mass of a gas by one degree Celsius at constant pressure, which is an important thermodynamic property used to describe the thermal behavior of gases. Specific Heat Capacity at Constant Pressure is denoted by C_p symbol.

How to evaluate Specific Heat Capacity at Constant Pressure using Adiabatic Index using this online evaluator? To use this online evaluator for Specific Heat Capacity at Constant Pressure using Adiabatic Index, enter Heat Capacity Ratio (γ) and hit the calculate button.

FAQs on Specific Heat Capacity at Constant Pressure using Adiabatic Index

What is the formula to find Specific Heat Capacity at Constant Pressure using Adiabatic Index?

The formula of Specific Heat Capacity at Constant Pressure using Adiabatic Index is expressed as Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1). Here is an example- 2.9E-5 = (1.4*[R])/(1.4-1).

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

With Heat Capacity Ratio (γ) we can find Specific Heat Capacity at Constant Pressure using Adiabatic Index using the formula - Specific Heat Capacity at Constant Pressure = (Heat Capacity Ratio*[R])/(Heat Capacity Ratio-1). This formula also uses Universal gas constant .

Can the Specific Heat Capacity at Constant Pressure using Adiabatic Index be negative?

Yes, the Specific Heat Capacity at Constant Pressure using Adiabatic Index, measured in Specific Heat Capacity can be negative.

Which unit is used to measure Specific Heat Capacity at Constant Pressure using Adiabatic Index?

Specific Heat Capacity at Constant Pressure using Adiabatic Index is usually measured using the Kilojoule per Kilogram per K[kJ/kg*K] for Specific Heat Capacity. Joule per Kilogram per K[kJ/kg*K], Joule per Kilogram per Celcius[kJ/kg*K], Kilojoule per Kilogram per Celcius[kJ/kg*K] are the few other units in which Specific Heat Capacity at Constant Pressure using Adiabatic Index can be measured.

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