Isentropic Temperature 1 given Pressure Ratio Formula

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The isentropic temperature 1 given pressure ratio is the temperature when the thermodynamic process is both adiabatic and reversible. Check FAQs
T1 pressure ratio=T2(P2P1)κ-1κ
T1 pressure ratio - Isentropic temperature 1 given pressure ratio?T2 - Temperature of Surface 2?P2 - Pressure 2?P1 - Pressure 1?κ - Specific Heat Ratio Dynamic?

Isentropic Temperature 1 given Pressure Ratio Example

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With units
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Here is how the Isentropic Temperature 1 given Pressure Ratio equation looks like with Values.

Here is how the Isentropic Temperature 1 given Pressure Ratio equation looks like with Units.

Here is how the Isentropic Temperature 1 given Pressure Ratio equation looks like.

122.8239Edit=151Edit(5.2Edit2.5Edit)1.3928Edit-11.3928Edit
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Isentropic Temperature 1 given Pressure Ratio Solution

Follow our step by step solution on how to calculate Isentropic Temperature 1 given Pressure Ratio?

FIRST Step Consider the formula
T1 pressure ratio=T2(P2P1)κ-1κ
Next Step Substitute values of Variables
T1 pressure ratio=151K(5.2Bar2.5Bar)1.3928-11.3928
Next Step Convert Units
T1 pressure ratio=151K(520000Pa250000Pa)1.3928-11.3928
Next Step Prepare to Evaluate
T1 pressure ratio=151(520000250000)1.3928-11.3928
Next Step Evaluate
T1 pressure ratio=122.823941796942K
LAST Step Rounding Answer
T1 pressure ratio=122.8239K

Isentropic Temperature 1 given Pressure Ratio Formula Elements

Variables
Isentropic temperature 1 given pressure ratio
The isentropic temperature 1 given pressure ratio is the temperature when the thermodynamic process is both adiabatic and reversible.
Symbol: T1 pressure ratio
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Temperature of Surface 2
Temperature of Surface 2 is the temperature of the 2nd surface.
Symbol: T2
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Pressure 2
Pressure 2 is the pressure at give point 2.
Symbol: P2
Measurement: PressureUnit: Bar
Note: Value can be positive or negative.
Pressure 1
Pressure 1 is the pressure at give point 1.
Symbol: P1
Measurement: PressureUnit: Bar
Note: Value can be positive or negative.
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.
Symbol: κ
Measurement: NAUnit: Unitless
Note: Value should be greater than 1.

Other formulas in Isentropic Process category

​Go Isentropic Pressure at Point 1
P1 isentropic=P2(ν1ν2)κ
​Go Isentropic Pressure at Point 2
P2 isentropic=P1(ν1ν2)κ
​Go Isentropic Temperature 1 given Specific Volume
T1 specific volume=T2(ν1ν2)κ-1
​Go Isentropic Temperature 2 given Pressure Ratio
T2 pressure ratio=T1(P2P1)κ-1κ

How to Evaluate Isentropic Temperature 1 given Pressure Ratio?

Isentropic Temperature 1 given Pressure Ratio evaluator uses Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic) to evaluate the Isentropic temperature 1 given pressure ratio, Isentropic Temperature 1 given pressure Ratio is the temperature when the thermodynamic process is both adiabatic and reversible. Isentropic temperature 1 given pressure ratio is denoted by T1 pressure ratio symbol.

How to evaluate Isentropic Temperature 1 given Pressure Ratio using this online evaluator? To use this online evaluator for Isentropic Temperature 1 given Pressure Ratio, enter Temperature of Surface 2 (T2), Pressure 2 (P2), Pressure 1 (P1) & Specific Heat Ratio Dynamic (κ) and hit the calculate button.

FAQs on Isentropic Temperature 1 given Pressure Ratio

What is the formula to find Isentropic Temperature 1 given Pressure Ratio?
The formula of Isentropic Temperature 1 given Pressure Ratio is expressed as Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic). Here is an example- 122.8239 = 151/(520000/250000)^((1.392758-1)/1.392758).
How to calculate Isentropic Temperature 1 given Pressure Ratio?
With Temperature of Surface 2 (T2), Pressure 2 (P2), Pressure 1 (P1) & Specific Heat Ratio Dynamic (κ) we can find Isentropic Temperature 1 given Pressure Ratio using the formula - Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic).
Can the Isentropic Temperature 1 given Pressure Ratio be negative?
No, the Isentropic Temperature 1 given Pressure Ratio, measured in Temperature cannot be negative.
Which unit is used to measure Isentropic Temperature 1 given Pressure Ratio?
Isentropic Temperature 1 given Pressure Ratio is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Isentropic Temperature 1 given Pressure Ratio can be measured.
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