Mass of Each Gas Molecule in 3D Box given Pressure Calculator

✖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 Number of Molecules is the total number of particles present in the specific container.ⓘ Number of Molecules [N_molecules]			+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%

✖Mass per Molecule given P is defined as the molar mass of the molecule divided by the Avogadro number.ⓘ Mass of Each Gas Molecule in 3D Box given Pressure [m_P]

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Formula

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Mass of Each Gas Molecule in 3D Box given Pressure

Formula

`"m"_{"P"} = (3*"P"_{"gas"}*"V")/("N"_{"molecules"}*("C"_{"RMS"})^2)`

Example

`"0.001445g"=(3*"0.215Pa"*"22.4L")/("100"*("10m/s")^2)`

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Mass of Each Gas Molecule in 3D Box given Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Mass per Molecule given P - (Measured in Kilogram) - Mass per Molecule given P is defined as the molar mass of the molecule divided by the Avogadro number.
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.
Number of Molecules - The Number of Molecules is the total number of particles present in the specific container.
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)
Number of Molecules: 100 --> No Conversion Required
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m_P = (3*P_gas*V)/(N_molecules*(C_RMS)^2) --> (3*0.215*0.0224)/(100*(10)^2)

Evaluating ... ...

m_P = 1.4448E-06

STEP 3: Convert Result to Output's Unit

1.4448E-06 Kilogram -->0.0014448 Gram (Check conversion here)

FINAL ANSWER

0.0014448 ≈ 0.001445 Gram <-- Mass per Molecule given P

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Kinetic Theory of Gases » PIB » Mass of Each Gas Molecule in 3D Box given Pressure

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< 18 PIB Calculators

Number of Moles of Gas 1 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = (Kinetic Energy of Gas 1/Kinetic Energy of Gas 2)*Number of Moles of Gas 2*(Temperature of Gas 2/Temperature of Gas 1)

Number of Moles of Gas 2 given Kinetic Energy of both Gases

Go Number of Moles given KE of Two Gases = Number of Moles of Gas 1*(Kinetic Energy of Gas 2/Kinetic Energy of Gas 1)*(Temperature of Gas 1/Temperature of Gas 2)

Mass of Each Gas Molecule in 3D Box given Pressure

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

Mass of Each Gas Molecule in 2D Box given Pressure

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

Number of Gas Molecules in 3D Box given Pressure

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

Number of Gas Molecules in 2D Box given Pressure

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

Speed of Gas Molecule in 1D given Pressure

Go Speed of Particle given P = sqrt((Pressure of Gas*Volume of Rectangular Box)/Mass per Molecule)

Speed of Gas Molecule given Force

Go Speed of Particle given F = sqrt((Force*Length of Rectangular Section)/Mass per Molecule)

Volume of Box having Gas Molecule given Pressure

Go Volume of Rectangular Box given P = (Mass per Molecule*(Speed of Particle)^2)/Pressure of Gas

Mass of Gas Molecule in 1D given Pressure

Go Mass per Molecule given P = (Pressure of Gas*Volume of Rectangular Box)/(Speed of Particle)^2

Pressure Exerted by Single Gas Molecule in 1D

Go Pressure of Gas in 1D = (Mass per Molecule*(Speed of Particle)^2)/Volume of Rectangular Box

Force by Gas Molecule on Wall of Box

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

Mass of Gas Molecule given Force

Go Mass per Molecule given F = (Force*Length of Rectangular Section)/((Speed of Particle)^2)

Length of Box given Force

Go Length of Rectangular box = (Mass per Molecule*(Speed of Particle)^2)/Force

Number of Moles given Kinetic Energy

Go Number of Moles given KE = (2/3)*(Kinetic Energy/([R]*Temperature))

Speed of Particle in 3D Box

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

Length of Rectangular Box given Time of Collision

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

Time between Collisions of Particle and Walls

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

Mass of Each Gas Molecule in 3D Box given Pressure Formula

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

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

How to calculate Mass of Each Gas Molecule in 3D Box given Pressure using this online calculator? To use this online calculator for Mass of Each Gas Molecule in 3D Box given Pressure, enter Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Mass of Each Gas Molecule in 3D Box given Pressure calculation can be explained with given input values -> 1.4E-6 = (3*0.215*0.0224)/(100*(10)^2).

FAQ

What is Mass of Each Gas Molecule in 3D Box given Pressure?

The mass of each gas molecule in 3D box given pressure formula is defined as the ratio of three times of pressure, the volume of gas to the root mean square of the number of the molecule and is represented as m_P = (3*P_gas*V)/(N_molecules*(C_RMS)^2) or Mass per Molecule given P = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*(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 Number of Molecules is the total number of particles present in the specific container & 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 Mass of Each Gas Molecule in 3D Box given Pressure?

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

In this formula, Mass per Molecule given P uses Pressure of Gas, Volume of Gas, Number of Molecules & Root Mean Square Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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