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Isentropic Pressure at Point 1 Formula

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The Isentropic Pressure at point 1 is the pressure when the thermodynamic system is both adiabatic and reversible. Check FAQs

P 1 isentropic = \frac{P 2}{{(\frac{ν 1}{ν 2})}^{κ}}

P_{1 isentropic} - Isentropic Pressure at point 1?P₂ - Pressure 2?ν₁ - Specific Volume at Point 1?ν₂ - Specific Volume at Point 2?κ - Specific Heat Ratio Dynamic?

Isentropic Pressure at Point 1 Example

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Here is how the Isentropic Pressure at Point 1 equation looks like with Values.

Here is how the Isentropic Pressure at Point 1 equation looks like with Units.

Here is how the Isentropic Pressure at Point 1 equation looks like.

59058.5943 = \frac{5.2}{{(\frac{0.001}{0.816})}^{1.3928}}

59058.5943Bar = \frac{5.2Bar}{{(\frac{0.001m³/kg}{0.816m³/kg})}^{1.3928}}

59058.5943 = \frac{5.2}{{(\frac{0.001}{0.816})}^{1.3928}}

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Isentropic Pressure at Point 1 Solution

Follow our step by step solution on how to calculate Isentropic Pressure at Point 1?

FIRST Step Consider the formula

P 1 isentropic = \frac{P 2}{{(\frac{ν 1}{ν 2})}^{κ}}

Next Step Substitute values of Variables

∴

P 1 isentropic = \frac{5.2Bar}{{(\frac{0.001m³/kg}{0.816m³/kg})}^{1.3928}}

Next Step Convert Units

∴

P 1 isentropic = \frac{520000Pa}{{(\frac{0.001m³/kg}{0.816m³/kg})}^{1.3928}}

Next Step Prepare to Evaluate

∴

P 1 isentropic = \frac{520000}{{(\frac{0.001}{0.816})}^{1.3928}}

Next Step Evaluate

∴

P 1 isentropic = 5905859429.89913Pa

Next Step Convert to Output's Unit

∴

P 1 isentropic = 59058.5942989913Bar

LAST Step Rounding Answer

∴

P 1 isentropic = 59058.5943Bar

Isentropic Pressure at Point 1 Formula Elements

Variables

Isentropic Pressure at point 1

The Isentropic Pressure at point 1 is the pressure when the thermodynamic system is both adiabatic and reversible.

Symbol: P_{1 isentropic}

Measurement: PressureUnit: Bar

Note: Value should be greater than 0.

Formulas to find Isentropic Pressure at point 1

Pressure 2

Pressure 2 is the pressure at give point 2.

Symbol: P₂

Measurement: PressureUnit: Bar

Note: Value can be positive or negative.

Formulas to find Pressure 2

Specific Volume at Point 1

Specific Volume at Point 1 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.

Symbol: ν₁

Measurement: Specific VolumeUnit: m³/kg

Note: Value should be greater than 0.

Formulas to find Specific Volume at Point 1

Specific Volume at Point 2

Specific Volume at Point 2 is the number of cubic meters occupied by one kilogram of matter. It is the ratio of a material's volume to its mass.

Symbol: ν₂

Measurement: Specific VolumeUnit: m³/kg

Note: Value should be greater than 0.

Formulas to find Specific Volume at Point 2

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.

Formulas to find Specific Heat Ratio Dynamic

Other formulas in Isentropic Process category

Go Isentropic Pressure at Point 2

P 2 isentropic = P 1 \cdot {(\frac{ν 1}{ν 2})}^{κ}

Go Isentropic Temperature 1 given Pressure Ratio

T 1 pressure ratio = \frac{T 2}{{(\frac{P 2}{P 1})}^{\frac{κ - 1}{κ}}}

Go Isentropic Temperature 1 given Specific Volume

T 1 specific volume = \frac{T 2}{{(\frac{ν 1}{ν 2})}^{κ - 1}}

Go Isentropic Temperature 2 given Pressure Ratio

T 2 pressure ratio = T 1 \cdot {(\frac{P 2}{P 1})}^{\frac{κ - 1}{κ}}

How to Evaluate Isentropic Pressure at Point 1?

Isentropic Pressure at Point 1 evaluator uses Isentropic Pressure at point 1 = Pressure 2/(Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic to evaluate the Isentropic Pressure at point 1, The Isentropic Pressure at point 1 is the pressure when the thermodynamic system is both adiabatic and reversible. Isentropic Pressure at point 1 is denoted by P_{1 isentropic} symbol.

How to evaluate Isentropic Pressure at Point 1 using this online evaluator? To use this online evaluator for Isentropic Pressure at Point 1, enter Pressure 2 (P₂), Specific Volume at Point 1 (ν₁), Specific Volume at Point 2 (ν₂) & Specific Heat Ratio Dynamic (κ) and hit the calculate button.

FAQs on Isentropic Pressure at Point 1

What is the formula to find Isentropic Pressure at Point 1?

The formula of Isentropic Pressure at Point 1 is expressed as Isentropic Pressure at point 1 = Pressure 2/(Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic. Here is an example- 0.590586 = 520000/(0.001/0.816)^1.392758.

How to calculate Isentropic Pressure at Point 1?

With Pressure 2 (P₂), Specific Volume at Point 1 (ν₁), Specific Volume at Point 2 (ν₂) & Specific Heat Ratio Dynamic (κ) we can find Isentropic Pressure at Point 1 using the formula - Isentropic Pressure at point 1 = Pressure 2/(Specific Volume at Point 1/Specific Volume at Point 2)^Specific Heat Ratio Dynamic.

Can the Isentropic Pressure at Point 1 be negative?

No, the Isentropic Pressure at Point 1, measured in Pressure cannot be negative.

Which unit is used to measure Isentropic Pressure at Point 1?

Isentropic Pressure at Point 1 is usually measured using the Bar[Bar] for Pressure. Pascal[Bar], Kilopascal[Bar], Pound Per Square Inch[Bar] are the few other units in which Isentropic Pressure at Point 1 can be measured.

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Isentropic Pressure at Point 1 Formula

Isentropic Pressure at Point 1 Example

Isentropic Pressure at Point 1 Solution

Isentropic Pressure at Point 1 Formula Elements

Other formulas in Isentropic Process category

How to Evaluate Isentropic Pressure at Point 1?

FAQs on Isentropic Pressure at Point 1

Variable Name