Atmospheric Pressure According to Polytropic Process Calculator

✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖The Density of Fluid is its mass per unit volume, measuring how closely packed its particles are.ⓘ Density of Fluid [ρ₀]			+10% -10%
✖Constant a is the empirical constant given according to conditions in sutherland equation.ⓘ Constant a [a]			+10% -10%
✖Density 1 is defined as the density of the fluid at point 1.ⓘ Density 1 [ρ₁]			+10% -10%

✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure According to Polytropic Process [P_atm]

⎘ Copy

👎

Formula

✖

Atmospheric Pressure According to Polytropic Process

Formula

`"P"_{"atm"} = ("P"_{"i"}*"ρ"_{"0"}^"a")/("ρ"_{"1"}^"a")`

Example

`"349.9863Pa"=("66.31Pa"*("1000kg/m³")^"2.4")/(("500kg/m³")^"2.4")`

Calculator

LaTeX

Reset

👍

Download Fluid Pressure and Its Measurement Formulas PDF PDF Image

Atmospheric Pressure According to Polytropic Process Solution

STEP 0: Pre-Calculation Summary

Formula Used

Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a)
P_atm = (P_i*ρ₀^a)/(ρ₁^a)
This formula uses 5 Variables

Variables Used

Atmospheric Pressure - (Measured in Pascal) - Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.
Initial Pressure of System - (Measured in Pascal) - Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - The Density of Fluid is its mass per unit volume, measuring how closely packed its particles are.
Constant a - Constant a is the empirical constant given according to conditions in sutherland equation.
Density 1 - (Measured in Kilogram per Cubic Meter) - Density 1 is defined as the density of the fluid at point 1.

STEP 1: Convert Input(s) to Base Unit

Initial Pressure of System: 66.31 Pascal --> 66.31 Pascal No Conversion Required
Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Constant a: 2.4 --> No Conversion Required
Density 1: 500 Kilogram per Cubic Meter --> 500 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_atm = (P_i*ρ₀^a)/(ρ₁^a) --> (66.31*1000^2.4)/(500^2.4)

Evaluating ... ...

P_atm = 349.986278253402

STEP 3: Convert Result to Output's Unit

349.986278253402 Pascal --> No Conversion Required

FINAL ANSWER

349.986278253402 ≈ 349.9863 Pascal <-- Atmospheric Pressure

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Fluid Pressure and Its Measurement » Equilibrium of Compressible Fluid Atmospheric Equilibrium » Atmospheric Pressure According to Polytropic Process

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 8 Equilibrium of Compressible Fluid Atmospheric Equilibrium Calculators

Atmospheric Pressure According to Polytropic Process

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

Initial Pressure according to Polytropic Process

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

Density According to Polytropic Process

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

Initial Density According to Polytropic Process

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

Temperature Lapse Rate

Go Temperature Lapse Rate = Specific Gravity of Fluid/Constant b*((Constant a-1)/Constant a)

Height of Fluid Column of Constant Specific Weight

Go Height of Fluid Column = Pressure of Gas/(Density of Gas*Acceleration due to Gravity)

Positive Constant

Go Constant a = 1/(1-Rate Constant*Temperature Lapse Rate/Specific Gravity of Fluid)

Adiabatic Exponent or Adiabatic Index

Go Adiabatic Index = Specific Heat at Constant Pressure/Specific Heat at Constant Volume

Atmospheric Pressure According to Polytropic Process Formula

Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a)
P_atm = (P_i*ρ₀^a)/(ρ₁^a)

What is meant by Density?

The density (more precisely, the volumetric mass density; also known as specific mass), of a substance is its mass per unit volume. The symbol most often used for density is ρ.

How to Calculate Atmospheric Pressure According to Polytropic Process?

Atmospheric Pressure According to Polytropic Process calculator uses Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a) to calculate 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 calculate Atmospheric Pressure According to Polytropic Process using this online calculator? To use this online calculator 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. Here is how the Atmospheric Pressure According to Polytropic Process calculation can be explained with given input values -> 343.0721 = (66.31*1000^2.4)/(500^2.4).

FAQ

What is Atmospheric Pressure According to Polytropic Process?

The Atmospheric Pressure According to Polytropic Process is defined as the polytropic state for the atmospheric pressure and is represented as P_atm = (P_i*ρ₀^a)/(ρ₁^a) or Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a). Initial Pressure of System is the total initial pressure exerted by the molecules inside the system, The Density of Fluid is its mass per unit volume, measuring how closely packed its particles are, Constant a is the empirical constant given according to conditions in sutherland equation & Density 1 is defined as the density of the fluid at point 1.

How to calculate Atmospheric Pressure According to Polytropic Process?

The Atmospheric Pressure According to Polytropic Process is defined as the polytropic state for the atmospheric pressure is calculated using Atmospheric Pressure = (Initial Pressure of System*Density of Fluid^Constant a)/(Density 1^Constant a). To calculate Atmospheric Pressure According to Polytropic Process, you need Initial Pressure of System (P_i), Density of Fluid (ρ₀), Constant a (a) & Density 1 (ρ₁). With our tool, you need to enter the respective value for Initial Pressure of System, Density of Fluid, Constant a & Density 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search