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Number of Gas Molecules in 3D Box given Pressure 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 Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass per 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%

✖Number of Molecules given P is the total number of particles present in the specific container.ⓘ Number of Gas Molecules in 3D Box given Pressure [N_P]

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Number of Gas Molecules in 3D Box given Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)
N_P = (3*P_gas*V)/(m*(C_RMS)^2)
This formula uses 5 Variables

Variables Used

Number of Molecules given P - Number of Molecules given P is the total number of particles present in the specific container.
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.
Mass per Molecule - (Measured in Kilogram) - The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro 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.

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)
Mass per Molecule: 0.2 Gram --> 0.0002 Kilogram (Check conversion here)
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_P = (3*P_gas*V)/(m*(C_RMS)^2) --> (3*0.215*0.0224)/(0.0002*(10)^2)

Evaluating ... ...

N_P = 0.7224

STEP 3: Convert Result to Output's Unit

0.7224 --> No Conversion Required

FINAL ANSWER

0.7224 <-- Number of Molecules given P

(Calculation completed in 00.020 seconds)

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< PIB Calculators

Force by Gas Molecule on Wall of Box

LaTeX Go Force on a wall = (Mass per Molecule*(Speed of Particle)^2)/Length of Rectangular Section

Speed of Particle in 3D Box

LaTeX Go Speed of Particle given in 3D = (2*Length of Rectangular Section)/Time between Collision

Length of Rectangular Box given Time of Collision

LaTeX Go Length of Rectangular box given T = (Time between Collision*Speed of Particle)/2

Time between Collisions of Particle and Walls

LaTeX Go Time of Collision = (2*Length of Rectangular Section)/Speed of Particle

Number of Gas Molecules in 3D Box given Pressure Formula

LaTeX Go

Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)
N_P = (3*P_gas*V)/(m*(C_RMS)^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 Number of Gas Molecules in 3D Box given Pressure?

Number of Gas Molecules in 3D Box given Pressure calculator uses Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2) to calculate the Number of Molecules given P, The number of gas molecules in 3D box given pressure formula is defined as three times pressure and volume of gas divided by the mass and root mean square of each and every molecule. Number of Molecules given P is denoted by N_P symbol.

How to calculate Number of Gas Molecules in 3D Box given Pressure using this online calculator? To use this online calculator for Number of Gas Molecules in 3D Box given Pressure, enter Pressure of Gas (P_gas), Volume of Gas (V), Mass per Molecule (m) & Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Number of Gas Molecules in 3D Box given Pressure calculation can be explained with given input values -> 0.7224 = (3*0.215*0.0224)/(0.0002*(10)^2).

FAQ

What is Number of Gas Molecules in 3D Box given Pressure?

The number of gas molecules in 3D box given pressure formula is defined as three times pressure and volume of gas divided by the mass and root mean square of each and every molecule and is represented as N_P = (3*P_gas*V)/(m*(C_RMS)^2) or Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^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 Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro 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.

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

The number of gas molecules in 3D box given pressure formula is defined as three times pressure and volume of gas divided by the mass and root mean square of each and every molecule is calculated using Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2). To calculate Number of Gas Molecules in 3D Box given Pressure, you need Pressure of Gas (P_gas), Volume of Gas (V), Mass per Molecule (m) & Root Mean Square Speed (C_RMS). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Gas, Mass per Molecule & Root Mean Square Speed 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 Number of Molecules given P?

In this formula, Number of Molecules given P uses Pressure of Gas, Volume of Gas, Mass per Molecule & Root Mean Square Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Number of Molecules given P = (2*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

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