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Average Velocity of Gas given Pressure and Density 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 [v_{avg_P_D}]

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Average Velocity of Gas given Pressure and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))
v_{avg_P_D} = sqrt((8*P_gas)/(pi*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((8*P_gas)/(pi*ρ_gas)) --> sqrt((8*0.215)/(pi*0.00128))

Evaluating ... ...

v_{avg_P_D} = 20.6816080022678

STEP 3: Convert Result to Output's Unit

20.6816080022678 Meter per Second --> No Conversion Required

FINAL ANSWER

20.6816080022678 ≈ 20.68161 Meter per Second <-- Average Velocity given P and D

(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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Average Velocity of Gas given Pressure and Density

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

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Average Velocity of Gas given Pressure and Density in 2D

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

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

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Average Velocity of Gas given Pressure and Density Formula

LaTeX Go

Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))
v_{avg_P_D} = sqrt((8*P_gas)/(pi*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?

Average Velocity of Gas given Pressure and Density calculator uses Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas)) to calculate the Average Velocity given P and D, The Average Velocity of Gas given Pressure and Density formula is defined as the square root of the ratio of the pressure of the gas to the density of the gas. 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 using this online calculator? To use this online calculator for Average Velocity of Gas given Pressure and Density, 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 calculation can be explained with given input values -> 20.68161 = sqrt((8*0.215)/(pi*0.00128)).

FAQ

What is Average Velocity of Gas given Pressure and Density?

The Average Velocity of Gas given Pressure and Density formula is defined as the square root of the ratio of the pressure of the gas to the density of the gas and is represented as v_{avg_P_D} = sqrt((8*P_gas)/(pi*ρ_gas)) or Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*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?

The Average Velocity of Gas given Pressure and Density formula is defined as the square root of the ratio of the pressure of the gas to the density of the gas is calculated using Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas)). To calculate Average Velocity of Gas given Pressure and Density, 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((pi*Pressure of Gas)/(2*Density of Gas))
Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas))

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