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 = Cp/Cv
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 = Cp/Cv --> 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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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(Heat Capacity 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 = Cp/Cv

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 (Cp) & Specific Heat Capacity at Constant Volume (Cv) 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 = Cp/Cv 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 (Cp) & Specific Heat Capacity at Constant Volume (Cv). 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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