Pressure 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 volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V_gas]			+10% -10%

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Kinetic Energy [P_gas]

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Formula

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Pressure of Gas given Kinetic Energy

Formula

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

Example

`"1190.476Pa"=(2/3)*("40J"/"22.4L")`

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Download Kinetic Theory of Gases Formula PDF

Pressure of Gas given Kinetic Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
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.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.

STEP 1: Convert Input(s) to Base Unit

Kinetic Energy: 40 Joule --> 40 Joule No Conversion Required
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_gas = (2/3)*(KE/V_gas) --> (2/3)*(40/0.0224)

Evaluating ... ...

P_gas = 1190.47619047619

STEP 3: Convert Result to Output's Unit

1190.47619047619 Pascal --> No Conversion Required

FINAL ANSWER

1190.47619047619 ≈ 1190.476 Pascal <-- Pressure of Gas

(Calculation completed in 00.005 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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< 20 Pressure of Gas Calculators

Pressure of Gas given Average Velocity and Volume in 2D

Go Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)

Pressure of Gas given Average Velocity and Volume

Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)

STP

Go Volume at STP = Volume*(Temperature at STP/Temperature)*(Pressure/Pressure at STP)

Pressure of Gas Molecules in 2D Box

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

Pressure of Gas Molecules in 3D Box

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

Pressure of Gas Molecules in 1D Box

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

Pressure of Gas given Compressibility Factor

Go Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas

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

Go Pressure of Gas given CMS and V in 2D = (Molar Mass*(Most Probable Velocity)^2)/(Volume of Gas for 1D and 2D)

Pressure of Gas given most probable Speed and Volume

Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)

Pressure of Gas given Average Velocity and Density in 2D

Go Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi

Pressure of Gas given Average Velocity and Density

Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

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

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

Pressure of Gas given Root Mean Square Speed and Volume

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

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

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

Pressure of Gas given most probable Speed and Density

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2

Pressure of Gas given most probable Speed and Density in 2D

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))

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

Go Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))

Pressure of Gas given Root Mean Square Speed and Density

Go Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))

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

Go Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))

Pressure of Gas given Kinetic Energy

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

Pressure of Gas given Kinetic Energy Formula

Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)
P_gas = (2/3)*(KE/V_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 Pressure of Gas given Kinetic Energy?

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

How to calculate Pressure of Gas given Kinetic Energy using this online calculator? To use this online calculator for Pressure of Gas given Kinetic Energy, enter Kinetic Energy (KE) & Volume of Gas (V_gas) and hit the calculate button. Here is how the Pressure of Gas given Kinetic Energy calculation can be explained with given input values -> 1190.476 = (2/3)*(40/0.0224).

FAQ

What is Pressure of Gas given Kinetic Energy?

The Pressure of gas given kinetic energy formula is defined as the two-thirds ratio of the kinetic energy of molecules to the volume of gas and is represented as P_gas = (2/3)*(KE/V_gas) or Pressure of Gas = (2/3)*(Kinetic Energy/Volume 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 volume of Gas is the amount of space that it occupies.

How to calculate Pressure of Gas given Kinetic Energy?

The Pressure of gas given kinetic energy formula is defined as the two-thirds ratio of the kinetic energy of molecules to the volume of gas is calculated using Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas). To calculate Pressure of Gas given Kinetic Energy, you need Kinetic Energy (KE) & Volume of Gas (V_gas). With our tool, you need to enter the respective value for Kinetic Energy & Volume 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 Pressure of Gas?

In this formula, Pressure of Gas uses Kinetic Energy & Volume of Gas. We can use 10 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Volume of Gas)
Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)
Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas
Pressure of Gas = ((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas = (1/2)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)

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