Volume of Gas given Average Velocity and Pressure Calculator

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✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+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%
✖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 given Average Velocity and Pressure [V_gas]

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Formula

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Volume of Gas given Average Velocity and Pressure

Formula

`"V"_{"gas"} = ("M"_{"molar"}*pi*(("C"_{"av"})^2))/(8*"P"_{"gas"})`

Example

`"2009.615L"=("44.01g/mol"*pi*(("5m/s")^2))/(8*"0.215Pa")`

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Download Kinetic Theory of Gases Formula PDF

Volume of Gas given Average Velocity and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)
V_gas = (M_molar*pi*((C_av)^2))/(8*P_gas)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.

STEP 1: Convert Input(s) to Base Unit

Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gas = (M_molar*pi*((C_av)^2))/(8*P_gas) --> (0.04401*pi*((5)^2))/(8*0.215)

Evaluating ... ...

V_gas = 2.00961471925126

STEP 3: Convert Result to Output's Unit

2.00961471925126 Cubic Meter -->2009.61471925126 Liter (Check conversion here)

FINAL ANSWER

2009.61471925126 ≈ 2009.615 Liter <-- Volume of Gas

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Volume of Gas » Volume of Gas given Average Velocity and Pressure

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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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< 9 Volume of Gas Calculators

Volume of Gas Molecules in 3D Box given Pressure

Go Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas)

Volume of Gas given Average Velocity and Pressure in 2D

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

Volume of Gas given Average Velocity and Pressure

Go Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)

Volume of Gas given Most Probable Speed and Pressure

Go Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas)

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

Go Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Pressure of Gas)

Volume of Gas given Most Probable Speed and Pressure in 2D

Go Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(Pressure of Gas)

Volume of Gas given Root Mean Square Speed and Pressure

Go Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas)

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

Go Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Pressure of Gas)

Volume of Gas given Kinetic Energy

Go Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)

Volume of Gas given Average Velocity and Pressure Formula

Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)
V_gas = (M_molar*pi*((C_av)^2))/(8*P_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 Volume of Gas given Average Velocity and Pressure?

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

How to calculate Volume of Gas given Average Velocity and Pressure using this online calculator? To use this online calculator for Volume of Gas given Average Velocity and Pressure, enter Molar Mass (M_molar), Average Velocity of Gas (C_av) & Pressure of Gas (P_gas) and hit the calculate button. Here is how the Volume of Gas given Average Velocity and Pressure calculation can be explained with given input values -> 2E+6 = (0.04401*pi*((5)^2))/(8*0.215).

FAQ

What is Volume of Gas given Average Velocity and Pressure?

The Volume of gas given average velocity and pressure formula is defined as the direct proportion of volume with the product of molar mass and square of average velocity and inverse proportion of volume with the pressure of the gas and is represented as V_gas = (M_molar*pi*((C_av)^2))/(8*P_gas) or Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas). Molar Mass is the mass of a given substance divided by the amount of substance, The Average Velocity of Gas is the mean of all the velocities of the gas molecule & The pressure of Gas is the force that the gas exerts on the walls of its container.

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

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

In this formula, Volume of Gas uses Molar Mass, Average Velocity of Gas & Pressure of Gas. We can use 8 other way(s) to calculate the same, which is/are as follows -

Volume of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Pressure of Gas)
Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)
Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas)
Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Pressure of Gas)
Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas)

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