Isentropic Temperature 1 given Pressure Ratio Calculator

✖Temperature of Surface 2 is the temperature of the 2nd surface.ⓘ Temperature of Surface 2 [T₂]			+10% -10%
✖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 isentropic temperature 1 given pressure ratio is the temperature when the thermodynamic process is both adiabatic and reversible.ⓘ Isentropic Temperature 1 given Pressure Ratio [T_{1 pressure ratio}]

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Isentropic Temperature 1 given Pressure Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic)
T_{1 pressure ratio} = T₂/(P₂/P₁)^((κ-1)/κ)
This formula uses 5 Variables

Variables Used

Isentropic temperature 1 given pressure ratio - (Measured in Kelvin) - The isentropic temperature 1 given pressure ratio is the temperature when the thermodynamic process is both adiabatic and reversible.
Temperature of Surface 2 - (Measured in Kelvin) - Temperature of Surface 2 is the temperature of the 2nd surface.
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

Temperature of Surface 2: 151 Kelvin --> 151 Kelvin No Conversion Required
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

T_{1 pressure ratio} = T₂/(P₂/P₁)^((κ-1)/κ) --> 151/(520000/250000)^((1.392758-1)/1.392758)

Evaluating ... ...

T_{1 pressure ratio} = 122.823941796942

STEP 3: Convert Result to Output's Unit

122.823941796942 Kelvin --> No Conversion Required

FINAL ANSWER

122.823941796942 ≈ 122.8239 Kelvin <-- Isentropic temperature 1 given pressure ratio

(Calculation completed in 00.004 seconds)

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< Isentropic Process Calculators

Isentropic Temperature 1 given Pressure Ratio

LaTeX 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 1 given Specific Volume

LaTeX 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 Pressure at Point 1

LaTeX 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

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

Isentropic Temperature 1 given Pressure Ratio Formula

LaTeX Go

What is Temperature at point 1 for an isentropic process?

The Temperature at point 1 for an isentropic process is the temperature when the thermodynamic system is both adiabatic and reversible. An isentropic process is one where there is no change in entropy. The temperature at point 1 can be calculated with the known values of temperature at point 2, pressure, and the ratio of specific heat.

How to Calculate Isentropic Temperature 1 given Pressure Ratio?

Isentropic Temperature 1 given Pressure Ratio calculator 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 calculate 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 T_{1 pressure ratio} symbol.

How to calculate Isentropic Temperature 1 given Pressure Ratio using this online calculator? To use this online calculator 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. Here is how the Isentropic Temperature 1 given Pressure Ratio calculation can be explained with given input values -> 122.8239 = 151/(520000/250000)^((1.392758-1)/1.392758).

FAQ

What is Isentropic Temperature 1 given Pressure Ratio?

Isentropic Temperature 1 given pressure Ratio is the temperature when the thermodynamic process is both adiabatic and reversible and is represented as T_{1 pressure ratio} = T₂/(P₂/P₁)^((κ-1)/κ) or Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic). Temperature of Surface 2 is the temperature of the 2nd surface, 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 Isentropic Temperature 1 given Pressure Ratio?

Isentropic Temperature 1 given pressure Ratio is the temperature when the thermodynamic process is both adiabatic and reversible is calculated using Isentropic temperature 1 given pressure ratio = Temperature of Surface 2/(Pressure 2/Pressure 1)^((Specific Heat Ratio Dynamic-1)/Specific Heat Ratio Dynamic). To calculate Isentropic Temperature 1 given Pressure Ratio, you need Temperature of Surface 2 (T₂), Pressure 2 (P₂), Pressure 1 (P₁) & Specific Heat Ratio Dynamic (κ). With our tool, you need to enter the respective value for Temperature of Surface 2, 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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