Heat Capacity Ratio Calculator

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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 [C_p]			+10% -10%
✖Specific Heat Capacity at Constant Volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume.ⓘ Specific Heat Capacity at Constant Volume [C_v]			+10% -10%

✖Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.ⓘ Heat Capacity Ratio [γ]

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Formula

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Heat Capacity Ratio

Formula

`"γ" = "C"_{"p"}/"C"_{"v"}`

Example

`"1.34"="1005J/(kg*K)"/"750J/(kg*K)"`

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Heat Capacity Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume
γ = C_p/C_v
This formula uses 3 Variables

Variables Used

Heat Capacity Ratio - Heat Capacity Ratio is the ratio of the specific heat at constant pressure (Cp) to the specific heat at constant volume (Cv) for a given substance.
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.
Specific Heat Capacity at Constant Volume - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Capacity at Constant Pressure: 1005 Joule per Kilogram per K --> 1005 Joule per Kilogram per K No Conversion Required
Specific Heat Capacity at Constant Volume: 750 Joule per Kilogram per K --> 750 Joule per Kilogram per K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = C_p/C_v --> 1005/750

Evaluating ... ...

γ = 1.34

STEP 3: Convert Result to Output's Unit

1.34 --> No Conversion Required

FINAL ANSWER

1.34 <-- Heat Capacity Ratio

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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National Institute of Technology (NIT), Tiruchirapalli

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< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

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

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Heat Capacity Ratio Formula

Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume
γ = C_p/C_v

What is heat capacity ratio?

Heat capacity ratio is the ratio of specific heat at constant pressure to specific heat at constant volume, Heat capacity ratio is also called as adiabatic index.

How to Calculate Heat Capacity Ratio?

Heat Capacity Ratio calculator uses Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume to calculate the Heat Capacity Ratio, Heat capacity ratio formula is defined as the ratio of the specific heat at constant pressure to the specific heat at constant volume. Heat Capacity Ratio is denoted by γ symbol.

How to calculate Heat Capacity Ratio using this online calculator? To use this online calculator for Heat Capacity Ratio, enter Specific Heat Capacity at Constant Pressure (C_p) & Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Heat Capacity Ratio calculation can be explained with given input values -> 1.34 = 1005/750.

FAQ

What is Heat Capacity Ratio?

Heat capacity ratio formula is defined as the ratio of the specific heat at constant pressure to the specific heat at constant volume and is represented as γ = C_p/C_v or Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume. 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 Volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume.

How to calculate Heat Capacity Ratio?

Heat capacity ratio formula is defined as the ratio of the specific heat at constant pressure to the specific heat at constant volume is calculated using Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume. To calculate Heat Capacity Ratio, you need Specific Heat Capacity at Constant Pressure (C_p) & Specific Heat Capacity at Constant Volume (C_v). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure & 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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