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Molar Mass of Gas given Average Velocity, Pressure, and Volume 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%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%

✖Molar Mass given AV and P is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass of Gas given Average Velocity, Pressure, and Volume [M_{AV_P}]

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Molar Mass of Gas given Average Velocity, Pressure, and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))
M_{AV_P} = (8*P_gas*V)/(pi*((C_av)^2))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Molar Mass given AV and P - (Measured in Kilogram Per Mole) - Molar Mass given AV and P is the mass of a given substance divided by the amount of substance.
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.
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
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_{AV_P} = (8*P_gas*V)/(pi*((C_av)^2)) --> (8*0.215*0.0224)/(pi*((5)^2))

Evaluating ... ...

M_{AV_P} = 0.000490553731795564

STEP 3: Convert Result to Output's Unit

0.000490553731795564 Kilogram Per Mole -->0.490553731795563 Gram Per Mole (Check conversion here)

FINAL ANSWER

0.490553731795563 ≈ 0.490554 Gram Per Mole <-- Molar Mass given AV and P

(Calculation completed in 00.004 seconds)

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Molar Mass of Gas given Average Velocity, Pressure, and Volume

LaTeX Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))

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LaTeX Go Molar Mass 2D = (pi*Pressure of Gas*Volume of Gas)/(2*((Average Velocity of Gas)^2))

Molar Mass of gas given most probable Speed, Pressure and Volume

LaTeX Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

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< Important Formulae on 1D Calculators

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D

LaTeX Go Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)

Molar Mass of Gas given Average Velocity, Pressure, and Volume

LaTeX Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))

Molar Mass of gas given most probable Speed, Pressure and Volume

LaTeX Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass given Most probable Speed and Temperature

LaTeX Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given Average Velocity, Pressure, and Volume Formula

LaTeX Go

Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))
M_{AV_P} = (8*P_gas*V)/(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 Molar Mass of Gas given Average Velocity, Pressure, and Volume?

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

How to calculate Molar Mass of Gas given Average Velocity, Pressure, and Volume using this online calculator? To use this online calculator for Molar Mass of Gas given Average Velocity, Pressure, and Volume, enter Pressure of Gas (P_gas), Volume of Gas (V) & Average Velocity of Gas (C_av) and hit the calculate button. Here is how the Molar Mass of Gas given Average Velocity, Pressure, and Volume calculation can be explained with given input values -> 490.5537 = (8*0.215*0.0224)/(pi*((5)^2)).

FAQ

What is Molar Mass of Gas given Average Velocity, Pressure, and Volume?

The Molar mass of gas given average velocity, pressure, and volume formula is defined as a direct proportion of molar mass to the product of pressure and volume, and inverse proportion of molar mass with the square of the average velocity and is represented as M_{AV_P} = (8*P_gas*V)/(pi*((C_av)^2)) or Molar Mass given AV and P = (8*Pressure of Gas*Volume 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 volume of Gas is the amount of space that it occupies & The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate Molar Mass of Gas given Average Velocity, Pressure, and Volume?

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

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