Average Velocity of Gas given Pressure and Density in 2D 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 Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%

✖Average Velocity given P and D is defined as the mean of all different velocities.ⓘ Average Velocity of Gas given Pressure and Density in 2D [v_{avg_P_D}]

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Formula

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Average Velocity of Gas given Pressure and Density in 2D

Formula

`"v"_{"avg_P_D"} = sqrt((pi*"P"_{"gas"})/(2*"ρ"_{"gas"}))`

Example

`"16.2433m/s"=sqrt((pi*"0.215Pa")/(2*"0.00128kg/m³"))`

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Download Kinetic Theory of Gases Formula PDF

Average Velocity of Gas given Pressure and Density in 2D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas))
v_{avg_P_D} = sqrt((pi*P_gas)/(2*ρ_gas))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_{avg_P_D} = sqrt((pi*P_gas)/(2*ρ_gas)) --> sqrt((pi*0.215)/(2*0.00128))

Evaluating ... ...

v_{avg_P_D} = 16.2432969410871

STEP 3: Convert Result to Output's Unit

16.2432969410871 Meter per Second --> No Conversion Required

FINAL ANSWER

16.2432969410871 ≈ 16.2433 Meter per Second <-- Average Velocity given P and D

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Average Velocity of Gas » Average Velocity of Gas given Pressure and Density in 2D

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 9 Average Velocity of Gas Calculators

Terminal Velocity given Angular Velocity

Go Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)

Average Velocity of Gas given Pressure and Volume in 2D

Go Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))

Average Velocity of Gas given Pressure and Volume

Go Average Velocity given P and V = sqrt((8*Pressure of Gas*Volume of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Temperature in 2D

Go Average Velocity given Temperature = sqrt((pi*[R]*Temperature of Gas)/(2*Molar Mass))

Average Velocity of Gas given Temperature

Go Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Pressure and Density in 2D

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

Average Velocity of Gas given Pressure and Density

Go Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))

Average Velocity of Gas given Root Mean Square Speed in 2D

Go Average Velocity given RMS = (0.8862*Root Mean Square of Speed)

Average Velocity of Gas given Root Mean Square Speed

Go Average Velocity given RMS = (0.9213*Root Mean Square of Speed)

< 11 Average velocity of gas and Acentric factor Calculators

Terminal Velocity given Angular Velocity

Go Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)

Average Velocity of Gas given Pressure and Volume in 2D

Go Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))

Average Velocity of Gas given Pressure and Volume

Go Average Velocity given P and V = sqrt((8*Pressure of Gas*Volume of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Temperature in 2D

Go Average Velocity given Temperature = sqrt((pi*[R]*Temperature of Gas)/(2*Molar Mass))

Average Velocity of Gas given Temperature

Go Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Pressure and Density in 2D

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

Average Velocity of Gas given Pressure and Density

Go Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))

Acentric Factor given Actual and Critical Saturation Vapor Pressure

Go Acentric Factor VP = -log10(Saturation Vapour Pressure/Critical saturation vapour pressure)-1

Acentric Factor

Go Acentric Factor VP = -log10(Reduced saturation vapour pressure)-1

Average Velocity of Gas given Root Mean Square Speed in 2D

Go Average Velocity given RMS = (0.8862*Root Mean Square of Speed)

Average Velocity of Gas given Root Mean Square Speed

Go Average Velocity given RMS = (0.9213*Root Mean Square of Speed)

Average Velocity of Gas given Pressure and Density in 2D Formula

Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas))
v_{avg_P_D} = sqrt((pi*P_gas)/(2*ρ_gas))

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 Average Velocity of Gas given Pressure and Density in 2D?

Average Velocity of Gas given Pressure and Density in 2D calculator uses Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas)) to calculate the Average Velocity given P and D, The Average Velocity of Gas given Pressure and Density in 2D is the arithmetic mean of the velocities of different molecules of a gas at a given temperature in 2 dimensions. Average Velocity given P and D is denoted by v_{avg_P_D} symbol.

How to calculate Average Velocity of Gas given Pressure and Density in 2D using this online calculator? To use this online calculator for Average Velocity of Gas given Pressure and Density in 2D, enter Pressure of Gas (P_gas) & Density of Gas (ρ_gas) and hit the calculate button. Here is how the Average Velocity of Gas given Pressure and Density in 2D calculation can be explained with given input values -> 16.2433 = sqrt((pi*0.215)/(2*0.00128)).

FAQ

What is Average Velocity of Gas given Pressure and Density in 2D?

The Average Velocity of Gas given Pressure and Density in 2D is the arithmetic mean of the velocities of different molecules of a gas at a given temperature in 2 dimensions and is represented as v_{avg_P_D} = sqrt((pi*P_gas)/(2*ρ_gas)) or Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas)). The pressure of Gas is the force that the gas exerts on the walls of its container & The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

How to calculate Average Velocity of Gas given Pressure and Density in 2D?

The Average Velocity of Gas given Pressure and Density in 2D is the arithmetic mean of the velocities of different molecules of a gas at a given temperature in 2 dimensions is calculated using Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas)). To calculate Average Velocity of Gas given Pressure and Density in 2D, you need Pressure of Gas (P_gas) & Density of Gas (ρ_gas). With our tool, you need to enter the respective value for Pressure of Gas & Density 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 Average Velocity given P and D?

In this formula, Average Velocity given P and D uses Pressure of Gas & Density of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -

Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))
Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))

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