Initial Pressure according to Polytropic Process Calculator

✖Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth.ⓘ Atmospheric Pressure [P_atm]			+10% -10%
✖Density 1 is defined as the density of the fluid at point 1.ⓘ Density 1 [ρ₁]			+10% -10%
✖The Constant a refers to the empirical constant given according to conditions in sutherland equation.ⓘ Constant a [a]			+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%

✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure according to Polytropic Process [P_i]

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Initial Pressure according to Polytropic Process Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Atmospheric Pressure: 350 Pascal --> 350 Pascal No Conversion Required
Density 1: 500 Kilogram per Cubic Meter --> 500 Kilogram per Cubic Meter No Conversion Required
Constant a: 2.4 --> No Conversion Required
Density of Fluid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = (P_atm*ρ₁^a)/ρ₀^a --> (350*500^2.4)/1000^2.4

Evaluating ... ...

P_i = 66.3125997848299

STEP 3: Convert Result to Output's Unit

66.3125997848299 Pascal --> No Conversion Required

FINAL ANSWER

66.3125997848299 ≈ 66.3126 Pascal <-- Initial Pressure of System

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Equilibrium of Compressible Fluid Atmospheric Equilibrium Calculators

Atmospheric Pressure According to Polytropic Process

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

Density According to Polytropic Process

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

Height of Fluid Column of Constant Specific Weight

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

Adiabatic Exponent or Adiabatic Index

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

Initial Pressure according to Polytropic Process Formula

LaTeX Go

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

Initial Pressure according to Polytropic Process calculator uses Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a to calculate 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 calculate Initial Pressure according to Polytropic Process using this online calculator? To use this online calculator 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. Here is how the Initial Pressure according to Polytropic Process calculation can be explained with given input values -> 66.3126 = (350*500^2.4)/1000^2.4.

FAQ

What is Initial Pressure according to Polytropic Process?

The Initial Pressure according to Polytropic Process is the pressure applied perpendicular to the surface of an object initially and is represented as P_i = (P_atm*ρ₁^a)/ρ₀^a or Initial Pressure of System = (Atmospheric Pressure*Density 1^Constant a)/Density of Fluid^Constant a. Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth, Density 1 is defined as the density of the fluid at point 1, The Constant a refers to the empirical constant given according to conditions in sutherland equation & The Density of Fluid is its mass per unit volume, measuring how closely packed its particles are.

How to calculate Initial Pressure according to Polytropic Process?

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

How many ways are there to calculate Initial Pressure of System?

In this formula, Initial Pressure of System uses Atmospheric Pressure, Density 1, Constant a & Density of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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