Temperature Ratio given Isentropic Pressure Calculator

✖Pressure 2 is the pressure at give point 2.ⓘ Pressure 2 [P₂]			+10% -10%
✖Pressure 1 is the pressure at give point 1.ⓘ Pressure 1 [P₁]			+10% -10%
✖The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Specific Heat Ratio Dynamic [κ]			+10% -10%

✖The Temperature Ratio Isentropic Pressure for an ideal gas is the temperature ratio when the thermodynamic process is both adiabatic and reversible.ⓘ Temperature Ratio given Isentropic Pressure [press]

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Formula

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Temperature Ratio given Isentropic Pressure

Formula

`"press" = ("P"_{"2"}/"P"_{"1"})^(("κ"-1)/"κ")`

Example

`"1.229402"=("5.2Bar"/"2.5Bar")^(("1.392758"-1)/"1.392758")`

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Temperature Ratio given Isentropic Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)
press = (P₂/P₁)^((κ-1)/κ)
This formula uses 4 Variables

Variables Used

Temperature Ratio Isentropic Pressure - The Temperature Ratio Isentropic Pressure for an ideal gas is the temperature ratio when the thermodynamic process is both adiabatic and reversible.
Pressure 2 - (Measured in Pascal) - Pressure 2 is the pressure at give point 2.
Pressure 1 - (Measured in Pascal) - Pressure 1 is the pressure at give point 1.
Specific Heat Ratio Dynamic - The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

STEP 1: Convert Input(s) to Base Unit

Pressure 2: 5.2 Bar --> 520000 Pascal (Check conversion here)
Pressure 1: 2.5 Bar --> 250000 Pascal (Check conversion here)
Specific Heat Ratio Dynamic: 1.392758 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

press = (P₂/P₁)^((κ-1)/κ) --> (520000/250000)^((1.392758-1)/1.392758)

Evaluating ... ...

press = 1.22940200249915

STEP 3: Convert Result to Output's Unit

1.22940200249915 --> No Conversion Required

FINAL ANSWER

1.22940200249915 ≈ 1.229402 <-- Temperature Ratio Isentropic Pressure

(Calculation completed in 00.004 seconds)

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< 9 Isentropic Process Calculators

Isentropic Temperature 1 given Pressure Ratio

Go Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)

Isentropic Temperature 2 given Pressure Ratio

Go Isentropic temperature 2 given pressure ratio = Temperature of Surface 1*(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)

Isentropic Temperature 1 given Specific Volume

Go Isentropic temperature 1 given specific volume = Temperature of Surface 2/(Specific Volume at Point 1/Specific Volume at Point 2)^(Specific Heat Ratio Dynamic-1)

Isentropic Temperature 2 given Specific Volume

Go Isentropic temperature 2 given specific volume = Temperature of Surface 1*(Specific Volume at Point 1/Specific Volume at Point 2)^(Specific Heat Ratio Dynamic-1)

Isentropic Pressure at Point 1

Go Isentropic Pressure at point 1 = Pressure 2/(Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic

Isentropic Pressure at Point 2

Go Isentropic Pressure at point 2 = Pressure 1*(Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic

Temperature Ratio given Isentropic Pressure

Go Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)

Temperature Ratio given Isentropic Specific Volume

Go Temperature ratio isentropic specific volume = (Specific Volume at Point 1/Specific Volume at Point 2)^(Specific Heat Ratio Dynamic-1)

Pressure Ratio in Isentropic Process

Go Pressure Ratio Isentropic Process = (Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic

Temperature Ratio given Isentropic Pressure Formula

Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)
press = (P₂/P₁)^((κ-1)/κ)

What is the temperature ratio of an isentropic process for an ideal gas?

The temperature ratio of an isentropic process of an ideal gas is the ratio of the temperature ratio when the thermodynamic process is both adiabatic and reversible. For given values of pressure and the ratio of specific heat, this can be calculated easily.

How to Calculate Temperature Ratio given Isentropic Pressure?

Temperature Ratio given Isentropic Pressure calculator uses Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic) to calculate the Temperature Ratio Isentropic Pressure, Temperature Ratio given Isentropic Pressure is the temperature ratio when the thermodynamic process is both adiabatic and reversible. Temperature Ratio Isentropic Pressure is denoted by press symbol.

How to calculate Temperature Ratio given Isentropic Pressure using this online calculator? To use this online calculator for Temperature Ratio given Isentropic Pressure, enter Pressure 2 (P₂), Pressure 1 (P₁) & Specific Heat Ratio Dynamic (κ) and hit the calculate button. Here is how the Temperature Ratio given Isentropic Pressure calculation can be explained with given input values -> 1.229402 = (520000/250000)^((1.392758-1)/1.392758).

FAQ

What is Temperature Ratio given Isentropic Pressure?

Temperature Ratio given Isentropic Pressure is the temperature ratio when the thermodynamic process is both adiabatic and reversible and is represented as press = (P₂/P₁)^((κ-1)/κ) or Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic). Pressure 2 is the pressure at give point 2, Pressure 1 is the pressure at give point 1 & The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

How to calculate Temperature Ratio given Isentropic Pressure?

Temperature Ratio given Isentropic Pressure is the temperature ratio when the thermodynamic process is both adiabatic and reversible is calculated using Temperature Ratio Isentropic Pressure = (Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic). To calculate Temperature Ratio given Isentropic Pressure, you need Pressure 2 (P₂), Pressure 1 (P₁) & Specific Heat Ratio Dynamic (κ). With our tool, you need to enter the respective value for Pressure 2, Pressure 1 & Specific Heat Ratio Dynamic 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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