Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D 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 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 2D is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.ⓘ Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D [C_{RMS_2D}]

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Formula

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

Formula

`"C"_{"RMS_2D"} = (2*"P"_{"gas"}*"V")/("N"_{"molecules"}*"m")`

Example

`"0.9632m/s"=(2*"0.215Pa"*"22.4L")/("100"*"0.1g")`

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Download Kinetic Theory of Gases Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
C_{RMS_2D} = (2*P_gas*V)/(N_molecules*m)
This formula uses 5 Variables

Variables Used

Root Mean Square Speed 2D - (Measured in Meter per Second) - The Root Mean Square Speed 2D is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
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.
Mass of Each Molecule - (Measured in Kilogram) - The Mass of Each Molecule is the ratio of molar mass and Avagadro number.

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
Mass of Each Molecule: 0.1 Gram --> 0.0001 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{RMS_2D} = (2*P_gas*V)/(N_molecules*m) --> (2*0.215*0.0224)/(100*0.0001)

Evaluating ... ...

C_{RMS_2D} = 0.9632

STEP 3: Convert Result to Output's Unit

0.9632 Meter per Second --> No Conversion Required

FINAL ANSWER

0.9632 Meter per Second <-- Root Mean Square Speed 2D

(Calculation completed in 00.004 seconds)

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< 3 Mean Square Speed of Gas Calculators

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

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

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

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

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas

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

< 12 Important Formulae on 2D 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)

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

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

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

Go Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)

Molar Mass of Gas given Average Velocity, Pressure, and Volume in 2D

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

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)

Most Probable Velocity of Gas given Temperature in 2D

Go Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)

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

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

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

Most Probable Velocity of Gas given Pressure and Density in 2D

Go Most Probable Velocity given P and D = sqrt((Pressure of Gas)/Density of Gas)

Molar Mass given Most Probable Speed and Temperature in 2D

Go Molar Mass in 2D = ([R]*Temperature of Gas)/((Most Probable Velocity)^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))

Most Probable Velocity of Gas given RMS Velocity in 2D

Go Most Probable Velocity given RMS = (0.7071*Root Mean Square Speed)

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

Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
C_{RMS_2D} = (2*P_gas*V)/(N_molecules*m)

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

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D calculator uses Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule) to calculate the Root Mean Square Speed 2D, The Mean square speed of gas molecule given pressure and volume of gas in 2D formula is defined as the whole square of root mean square of gas molecule in 2D. Root Mean Square Speed 2D is denoted by C_{RMS_2D} symbol.

How to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D using this online calculator? To use this online calculator for Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D, enter Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Mass of Each Molecule (m) and hit the calculate button. Here is how the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D calculation can be explained with given input values -> 0.9632 = (2*0.215*0.0224)/(100*0.0001).

FAQ

What is Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D?

The Mean square speed of gas molecule given pressure and volume of gas in 2D formula is defined as the whole square of root mean square of gas molecule in 2D and is represented as C_{RMS_2D} = (2*P_gas*V)/(N_molecules*m) or Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule). 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 Mass of Each Molecule is the ratio of molar mass and Avagadro number.

How to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D?

The Mean square speed of gas molecule given pressure and volume of gas in 2D formula is defined as the whole square of root mean square of gas molecule in 2D is calculated using Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule). To calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D, you need Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Mass of Each Molecule (m). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Gas, Number of Molecules & Mass of Each Molecule and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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