Density of Gas given Average Velocity and Pressure Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%

✖Density of Gas given AV and P is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas given Average Velocity and Pressure [ρ_{AV_P}]

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Formula

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Density of Gas given Average Velocity and Pressure

Formula

`"ρ"_{"AV_P"} = (8*"P"_{"gas"})/(pi*(("C"_{"av"})^2))`

Example

`"0.0219kg/m³"=(8*"0.215Pa")/(pi*(("5m/s")^2))`

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Density of Gas given Average Velocity and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))
ρ_{AV_P} = (8*P_gas)/(pi*((C_av)^2))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Density of Gas given AV and P - (Measured in Kilogram per Cubic Meter) - Density of Gas given AV and P is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Average Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_{AV_P} = (8*P_gas)/(pi*((C_av)^2)) --> (8*0.215)/(pi*((5)^2))

Evaluating ... ...

ρ_{AV_P} = 0.0218997201694448

STEP 3: Convert Result to Output's Unit

0.0218997201694448 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

0.0218997201694448 ≈ 0.0219 Kilogram per Cubic Meter <-- Density of Gas given AV and P

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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< 13 Density of Gas Calculators

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cv

Go Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))

Density given Thermal Pressure Coefficient, Compressibility Factors and Cp

Go Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))

Density given Volumetric Coefficient of Thermal Expansion, Compressibility Factors and Cp

Go Density given VC = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)

Density given Thermal Pressure Coefficient, Compressibility Factors and Cv

Go Density given TPC = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)

Density given Relative Size of Fluctuations in Particle Density

Go Density given fluctuations = sqrt(((Relative Size of Fluctuations/Volume))/([BoltZ]*Isothermal Compressibility*Temperature))

Density of Gas given Average Velocity and Pressure in 2D

Go Density of Gas given AV and P = (pi*Pressure of Gas)/(2*((Average Velocity of Gas)^2))

Density of Gas given Average Velocity and Pressure

Go Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))

Density of Gas given Root Mean Square Speed and Pressure in 2D

Go Density of Gas given RMS and P = (2*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Root Mean Square Speed and Pressure

Go Density of Gas given RMS and P = (3*Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Root Mean Square Speed and Pressure in 1D

Go Density of Gas given RMS and P = (Pressure of Gas)/((Root Mean Square Speed)^2)

Density of Gas given Most Probable Speed Pressure

Go Density of Gas given MPS = (2*Pressure of Gas)/((Most Probable Velocity)^2)

Density of Gas given Most Probable Speed Pressure in 2D

Go Density of Gas given MPS = (Pressure of Gas)/((Most Probable Velocity)^2)

Density of Material given Isentropic Compressibility

Go Density given IC = 1/(Isentropic Compressibility*(Speed of Sound^2))

Density of Gas given Average Velocity and Pressure Formula

Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2))
ρ_{AV_P} = (8*P_gas)/(pi*((C_av)^2))

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Density of Gas given Average Velocity and Pressure?

Density of Gas given Average Velocity and Pressure calculator uses Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2)) to calculate the Density of Gas given AV and P, The Density of gas given average velocity and pressure formula is defined as a direct proportion of density with pressure and inverse proportion of density with the square of the average velocity of the gas. Density of Gas given AV and P is denoted by ρ_{AV_P} symbol.

How to calculate Density of Gas given Average Velocity and Pressure using this online calculator? To use this online calculator for Density of Gas given Average Velocity and Pressure, enter Pressure of Gas (P_gas) & Average Velocity of Gas (C_av) and hit the calculate button. Here is how the Density of Gas given Average Velocity and Pressure calculation can be explained with given input values -> 0.0219 = (8*0.215)/(pi*((5)^2)).

FAQ

What is Density of Gas given Average Velocity and Pressure?

The Density of gas given average velocity and pressure formula is defined as a direct proportion of density with pressure and inverse proportion of density with the square of the average velocity of the gas and is represented as ρ_{AV_P} = (8*P_gas)/(pi*((C_av)^2)) or Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2)). The pressure of Gas is the force that the gas exerts on the walls of its container & The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate Density of Gas given Average Velocity and Pressure?

The Density of gas given average velocity and pressure formula is defined as a direct proportion of density with pressure and inverse proportion of density with the square of the average velocity of the gas is calculated using Density of Gas given AV and P = (8*Pressure of Gas)/(pi*((Average Velocity of Gas)^2)). To calculate Density of Gas given Average Velocity and Pressure, you need Pressure of Gas (P_gas) & Average Velocity of Gas (C_av). With our tool, you need to enter the respective value for Pressure of Gas & Average Velocity of Gas 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 Density of Gas given AV and P?

In this formula, Density of Gas given AV and P uses Pressure of Gas & Average Velocity of Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -

Density of Gas given AV and P = (pi*Pressure of Gas)/(2*((Average Velocity of Gas)^2))

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