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Initial Pressure according to Polytropic Process Formula

GoInitial Density According to Polytropic Process Formula

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Initial Pressure of System is the total initial pressure exerted by the molecules inside the system. Check FAQs

P i = \frac{P atm \cdot {ρ 1}^{a}}{{ρ 0}^{a}}

P_i - Initial Pressure of System?P_atm - Atmospheric Pressure?ρ₁ - Density 1?a - Constant a?ρ₀ - Density of Fluid?

Initial Pressure according to Polytropic Process Example

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Here is how the Initial Pressure according to Polytropic Process equation looks like with Values.

Here is how the Initial Pressure according to Polytropic Process equation looks like with Units.

Here is how the Initial Pressure according to Polytropic Process equation looks like.

66.3126 = \frac{350 \cdot 500^{2.4}}{1000^{2.4}}

66.3126Pa = \frac{350Pa \cdot {500kg/m³}^{2.4}}{{1000kg/m³}^{2.4}}

66.3126 = \frac{350 \cdot 500^{2.4}}{1000^{2.4}}

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Initial Pressure according to Polytropic Process Solution

Follow our step by step solution on how to calculate Initial Pressure according to Polytropic Process?

FIRST Step Consider the formula

P i = \frac{P atm \cdot {ρ 1}^{a}}{{ρ 0}^{a}}

Next Step Substitute values of Variables

∴

P i = \frac{350Pa \cdot {500kg/m³}^{2.4}}{{1000kg/m³}^{2.4}}

Next Step Prepare to Evaluate

∴

P i = \frac{350 \cdot 500^{2.4}}{1000^{2.4}}

Next Step Evaluate

∴

P i = 66.3125997848299Pa

LAST Step Rounding Answer

∴

P i = 66.3126Pa

Initial Pressure according to Polytropic Process Formula Elements

Variables

Initial Pressure of System

Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.

Symbol: P_i

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Initial Pressure of System

Atmospheric Pressure

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.

Symbol: P_atm

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Atmospheric Pressure

Density 1

Density 1 is defined as the density of the fluid at point 1.

Symbol: ρ₁

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density 1

Constant a

The Constant a refers to the empirical constant given according to conditions in sutherland equation.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant a

Density of Fluid

The Density of Fluid is its mass per unit volume, measuring how closely packed its particles are.

Symbol: ρ₀

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

Other Formulas to find Initial Pressure of System

Go Initial Density According to Polytropic Process

P i = P atm \cdot {(\frac{ρ 1}{ρ 0})}^{a}

Other formulas in Equilibrium of Compressible Fluid Atmospheric Equilibrium category

Go Adiabatic Exponent or Adiabatic Index

k = \frac{C p}{C v}

Go Height of Fluid Column of Constant Specific Weight

h c = \frac{P 0}{ɗ 0 \cdot g}

Go Atmospheric Pressure According to Polytropic Process

P atm = \frac{P i \cdot {ρ 0}^{a}}{{ρ 1}^{a}}

Go Density According to Polytropic Process

ρ 0 = ρ 1 \cdot {(\frac{P atm}{P i})}^{\frac{1}{a}}

How to Evaluate Initial Pressure according to Polytropic Process?

Initial Pressure according to Polytropic Process evaluator uses Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a to evaluate the Initial Pressure of System, The Initial Pressure according to Polytropic Process is the pressure applied perpendicular to the surface of an object initially. Initial Pressure of System is denoted by P_i symbol.

How to evaluate Initial Pressure according to Polytropic Process using this online evaluator? To use this online evaluator for Initial Pressure according to Polytropic Process, enter Atmospheric Pressure (P_atm), Density 1 (ρ₁), Constant a (a) & Density of Fluid (ρ₀) and hit the calculate button.

FAQs on Initial Pressure according to Polytropic Process

What is the formula to find Initial Pressure according to Polytropic Process?

The formula of Initial Pressure according to Polytropic Process is expressed as Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a. Here is an example- 66.3126 = (350*500^2.4)/1000^2.4.

How to calculate Initial Pressure according to Polytropic Process?

With Atmospheric Pressure (P_atm), Density 1 (ρ₁), Constant a (a) & Density of Fluid (ρ₀) we can find Initial Pressure according to Polytropic Process using the formula - Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a.

What are the other ways to Calculate Initial Pressure of System?

Here are the different ways to Calculate Initial Pressure of System-

Initial Pressure of System=Atmospheric Pressure*(Density 1/Density of Fluid)^Constant a

Can the Initial Pressure according to Polytropic Process be negative?

No, the Initial Pressure according to Polytropic Process, measured in Pressure cannot be negative.

Which unit is used to measure Initial Pressure according to Polytropic Process?

Initial Pressure according to Polytropic Process is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Initial Pressure according to Polytropic Process can be measured.

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Initial Pressure according to Polytropic Process Formula

​GoInitial Density According to Polytropic Process Formula

Initial Pressure according to Polytropic Process Example

Initial Pressure according to Polytropic Process Solution

Initial Pressure according to Polytropic Process Formula Elements

Other Formulas to find Initial Pressure of System

Other formulas in Equilibrium of Compressible Fluid Atmospheric Equilibrium category

How to Evaluate Initial Pressure according to Polytropic Process?

FAQs on Initial Pressure according to Polytropic Process

Variable Name

GoInitial Density According to Polytropic Process Formula