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Pressure of Gas Molecules in 3D Box Calculator

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✖The Number of Molecules is the total number of particles present in the specific container.ⓘ Number of Molecules [N_molecules]			+10% -10%
✖The Mass of Each Molecule is the ratio of molar mass and Avagadro number.ⓘ Mass of Each Molecule [m]			+10% -10%
✖The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.ⓘ Root Mean Square Speed [C_RMS]			+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 Molecules in 3D Box [P_gas]

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Pressure of Gas Molecules in 3D Box Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
P_gas = (1/3)*((N_molecules*m*(C_RMS)^2)/V_gas)
This formula uses 5 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.
Number of Molecules - The Number of Molecules is the total number of particles present in the specific container.
Mass of Each Molecule - (Measured in Kilogram) - The Mass of Each Molecule is the ratio of molar mass and Avagadro number.
Root Mean Square Speed - (Measured in Meter per Second) - The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
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

Number of Molecules: 100 --> No Conversion Required
Mass of Each Molecule: 0.1 Gram --> 0.0001 Kilogram (Check conversion here)
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second 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 = (1/3)*((N_molecules*m*(C_RMS)^2)/V_gas) --> (1/3)*((100*0.0001*(10)^2)/0.0224)

Evaluating ... ...

P_gas = 14.8809523809524

STEP 3: Convert Result to Output's Unit

14.8809523809524 Pascal --> No Conversion Required

FINAL ANSWER

14.8809523809524 ≈ 14.88095 Pascal <-- Pressure of Gas

(Calculation completed in 00.004 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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Pressure of Gas Molecules in 3D Box Formula

LaTeX Go

Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
P_gas = (1/3)*((N_molecules*m*(C_RMS)^2)/V_gas)

What are postulates of Kinetic molecular theory of gas?

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 Molecules in 3D Box?

Pressure of Gas Molecules in 3D Box calculator uses Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas) to calculate the Pressure of Gas, The pressure of gas molecules in 3D box formula is defined as 1/3rd ratio of the root mean square speed of each and every molecule and volume of the container. Pressure of Gas is denoted by P_gas symbol.

How to calculate Pressure of Gas Molecules in 3D Box using this online calculator? To use this online calculator for Pressure of Gas Molecules in 3D Box, enter Number of Molecules (N_molecules), Mass of Each Molecule (m), Root Mean Square Speed (C_RMS) & Volume of Gas (V_gas) and hit the calculate button. Here is how the Pressure of Gas Molecules in 3D Box calculation can be explained with given input values -> 14.88095 = (1/3)*((100*0.0001*(10)^2)/0.0224).

FAQ

What is Pressure of Gas Molecules in 3D Box?

The pressure of gas molecules in 3D box formula is defined as 1/3rd ratio of the root mean square speed of each and every molecule and volume of the container and is represented as P_gas = (1/3)*((N_molecules*m*(C_RMS)^2)/V_gas) or Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas). The Number of Molecules is the total number of particles present in the specific container, The Mass of Each Molecule is the ratio of molar mass and Avagadro number, The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values & The volume of Gas is the amount of space that it occupies.

How to calculate Pressure of Gas Molecules in 3D Box?

The pressure of gas molecules in 3D box formula is defined as 1/3rd ratio of the root mean square speed of each and every molecule and volume of the container is calculated using Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas). To calculate Pressure of Gas Molecules in 3D Box, you need Number of Molecules (N_molecules), Mass of Each Molecule (m), Root Mean Square Speed (C_RMS) & Volume of Gas (V_gas). With our tool, you need to enter the respective value for Number of Molecules, Mass of Each Molecule, Root Mean Square Speed & 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 Number of Molecules, Mass of Each Molecule, Root Mean Square Speed & Volume of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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