Volume of Gas given Kinetic Energy Calculator

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✖Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.ⓘ Kinetic Energy [KE]			+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 Kinetic Energy [V_gas]

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Formula

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Volume of Gas given Kinetic Energy

Formula

`"V"_{"gas"} = (2/3)*("KE"/"P"_{"gas"})`

Example

`"124031L"=(2/3)*("40J"/"0.215Pa")`

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Download Kinetic Theory of Gases Formula PDF

Volume of Gas given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)
V_gas = (2/3)*(KE/P_gas)
This formula uses 3 Variables

Variables Used

Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
Kinetic Energy - (Measured in Joule) - Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
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

Kinetic Energy: 40 Joule --> 40 Joule 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 = (2/3)*(KE/P_gas) --> (2/3)*(40/0.215)

Evaluating ... ...

V_gas = 124.031007751938

STEP 3: Convert Result to Output's Unit

124.031007751938 Cubic Meter -->124031.007751938 Liter (Check conversion here)

FINAL ANSWER

124031.007751938 ≈ 124031 Liter <-- Volume of Gas

(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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< 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 Kinetic Energy Formula

Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)
V_gas = (2/3)*(KE/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 Kinetic Energy?

Volume of Gas given Kinetic Energy calculator uses Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas) to calculate the Volume of Gas, The Volume of gas given kinetic energy formula is defined as a two-thirds ratio of the kinetic energy of molecules to pressure of the gas. Volume of Gas is denoted by V_gas symbol.

How to calculate Volume of Gas given Kinetic Energy using this online calculator? To use this online calculator for Volume of Gas given Kinetic Energy, enter Kinetic Energy (KE) & Pressure of Gas (P_gas) and hit the calculate button. Here is how the Volume of Gas given Kinetic Energy calculation can be explained with given input values -> 1.2E+8 = (2/3)*(40/0.215).

FAQ

What is Volume of Gas given Kinetic Energy?

The Volume of gas given kinetic energy formula is defined as a two-thirds ratio of the kinetic energy of molecules to pressure of the gas and is represented as V_gas = (2/3)*(KE/P_gas) or Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas). Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity & The pressure of Gas is the force that the gas exerts on the walls of its container.

How to calculate Volume of Gas given Kinetic Energy?

The Volume of gas given kinetic energy formula is defined as a two-thirds ratio of the kinetic energy of molecules to pressure of the gas is calculated using Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas). To calculate Volume of Gas given Kinetic Energy, you need Kinetic Energy (KE) & Pressure of Gas (P_gas). With our tool, you need to enter the respective value for Kinetic Energy & 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 Kinetic Energy & Pressure of Gas. We can use 8 other way(s) to calculate the same, which is/are as follows -

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