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Average Velocity of Gas given Pressure and Volume 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 volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))
v_{avg_P_V} = sqrt((pi*P_gas*V)/(2*M_molar))
This formula uses 1 Constants, 1 Functions, 4 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 V - (Measured in Meter per Second) - Average Velocity given P and V 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.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_{avg_P_V} = sqrt((pi*P_gas*V)/(2*M_molar)) --> sqrt((pi*0.215*0.0224)/(2*0.04401))

Evaluating ... ...

v_{avg_P_V} = 0.414598277430524

STEP 3: Convert Result to Output's Unit

0.414598277430524 Meter per Second --> No Conversion Required

FINAL ANSWER

0.414598277430524 ≈ 0.414598 Meter per Second <-- Average Velocity given P and V

(Calculation completed in 00.004 seconds)

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

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

LaTeX Go

Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))
v_{avg_P_V} = sqrt((pi*P_gas*V)/(2*M_molar))

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 Volume in 2D?

Average Velocity of Gas given Pressure and Volume in 2D calculator uses Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass)) to calculate the Average Velocity given P and V, The Average velocity of gas given pressure and volume 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 V is denoted by v_{avg_P_V} symbol.

How to calculate Average Velocity of Gas given Pressure and Volume in 2D using this online calculator? To use this online calculator for Average Velocity of Gas given Pressure and Volume in 2D, enter Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) and hit the calculate button. Here is how the Average Velocity of Gas given Pressure and Volume in 2D calculation can be explained with given input values -> 0.414598 = sqrt((pi*0.215*0.0224)/(2*0.04401)).

FAQ

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

The Average velocity of gas given pressure and volume 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_V} = sqrt((pi*P_gas*V)/(2*M_molar)) or Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass)). The pressure of Gas is the force that the gas exerts on the walls of its container, The volume of Gas is the amount of space that it occupies & Molar Mass is the mass of a given substance divided by the amount of substance.

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

The Average velocity of gas given pressure and volume 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 V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass)). To calculate Average Velocity of Gas given Pressure and Volume in 2D, you need Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Gas & Molar Mass 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 V?

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

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

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