Density According to Polytropic Process Calculator

✖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 [P_atm]			+10% -10%
✖Initial Pressure of System is the total initial pressure exerted by the molecules inside the system.ⓘ Initial Pressure of System [P_i]			+10% -10%
✖Constant a is 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 According to Polytropic Process [ρ₀]

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Formula

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Density According to Polytropic Process

Formula

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

Example

`"1000.016kg/m³"="500kg/m³"*("350Pa"/"66.31Pa")^(1/"2.4")`

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Download Fluid Pressure and Its Measurement Formulas PDF

Density According to Polytropic Process Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Density 1 - (Measured in Kilogram per Cubic Meter) - Density 1 is defined as the density of the fluid at point 1.
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.
Constant a - Constant a is the empirical constant given according to conditions in sutherland equation.

STEP 1: Convert Input(s) to Base Unit

Density 1: 500 Kilogram per Cubic Meter --> 500 Kilogram per Cubic Meter No Conversion Required
Atmospheric Pressure: 350 Pascal --> 350 Pascal No Conversion Required
Initial Pressure of System: 66.31 Pascal --> 66.31 Pascal No Conversion Required
Constant a: 2.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ₀ = ρ₁*(P_atm/P_i)^(1/a) --> 500*(350/66.31)^(1/2.4)

Evaluating ... ...

ρ₀ = 1000.01633586627

STEP 3: Convert Result to Output's Unit

1000.01633586627 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1000.01633586627 ≈ 1000.016 Kilogram per Cubic Meter <-- Density of Fluid

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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< 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

Density According to Polytropic Process Formula

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

What is Atmospheric pressure?

Atmospheric pressure, also known as barometric pressure (after the barometer), is the pressure within the atmosphere of Earth.

How to Calculate Density According to Polytropic Process?

Density According to Polytropic Process calculator uses Density of Fluid = Density 1*(Atmospheric Pressure/Initial Pressure of System)^(1/Constant a) to calculate the Density of Fluid, The Density According to Polytropic Process is 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. Density of Fluid is denoted by ρ₀ symbol.

How to calculate Density According to Polytropic Process using this online calculator? To use this online calculator for Density According to Polytropic Process, enter Density 1 (ρ₁), Atmospheric Pressure (P_atm), Initial Pressure of System (P_i) & Constant a (a) and hit the calculate button. Here is how the Density According to Polytropic Process calculation can be explained with given input values -> 1008.365 = 500*(350/66.31)^(1/2.4).

FAQ

What is Density According to Polytropic Process?

The Density According to Polytropic Process is 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 and is represented as ρ₀ = ρ₁*(P_atm/P_i)^(1/a) or Density of Fluid = Density 1*(Atmospheric Pressure/Initial Pressure of System)^(1/Constant a). Density 1 is defined as the density of the fluid at point 1, Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth, Initial Pressure of System is the total initial pressure exerted by the molecules inside the system & Constant a is the empirical constant given according to conditions in sutherland equation.

How to calculate Density According to Polytropic Process?

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

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