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Atmospheric Pressure According to Polytropic Process Formula

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

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

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

Atmospheric Pressure According to Polytropic Process Example

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Here is how the Atmospheric Pressure According to Polytropic Process equation looks like with Values.

Here is how the Atmospheric Pressure According to Polytropic Process equation looks like with Units.

Here is how the Atmospheric Pressure According to Polytropic Process equation looks like.

349.9863 = \frac{66.31 \cdot 1000^{2.4}}{500^{2.4}}

349.9863Pa = \frac{66.31Pa \cdot {1000kg/m³}^{2.4}}{{500kg/m³}^{2.4}}

349.9863 = \frac{66.31 \cdot 1000^{2.4}}{500^{2.4}}

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Atmospheric Pressure According to Polytropic Process Solution

Follow our step by step solution on how to calculate Atmospheric Pressure According to Polytropic Process?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P atm = \frac{66.31Pa \cdot {1000kg/m³}^{2.4}}{{500kg/m³}^{2.4}}

Next Step Prepare to Evaluate

∴

P atm = \frac{66.31 \cdot 1000^{2.4}}{500^{2.4}}

Next Step Evaluate

∴

P atm = 349.986278253402Pa

LAST Step Rounding Answer

∴

P atm = 349.9863Pa

Atmospheric Pressure According to Polytropic Process Formula Elements

Variables

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

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

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

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 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

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 Density According to Polytropic Process

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

Go Initial Pressure according to Polytropic Process

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

How to Evaluate Atmospheric Pressure According to Polytropic Process?

Atmospheric Pressure According to Polytropic Process evaluator uses Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a) to evaluate the Atmospheric Pressure, The Atmospheric Pressure According to Polytropic Process is defined as the polytropic state for the atmospheric pressure. Atmospheric Pressure is denoted by P_atm symbol.

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

FAQs on Atmospheric Pressure According to Polytropic Process

What is the formula to find Atmospheric Pressure According to Polytropic Process?

The formula of Atmospheric Pressure According to Polytropic Process is expressed as Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a). Here is an example- 343.0721 = (66.31*1000^2.4)/(500^2.4).

How to calculate Atmospheric Pressure According to Polytropic Process?

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

Can the Atmospheric Pressure According to Polytropic Process be negative?

No, the Atmospheric Pressure According to Polytropic Process, measured in Pressure cannot be negative.

Which unit is used to measure Atmospheric Pressure According to Polytropic Process?

Atmospheric 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 Atmospheric Pressure According to Polytropic Process can be measured.

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Atmospheric Pressure According to Polytropic Process Formula

Atmospheric Pressure According to Polytropic Process Example

Atmospheric Pressure According to Polytropic Process Solution

Atmospheric Pressure According to Polytropic Process Formula Elements

Other formulas in Equilibrium of Compressible Fluid Atmospheric Equilibrium category

How to Evaluate Atmospheric Pressure According to Polytropic Process?

FAQs on Atmospheric Pressure According to Polytropic Process

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