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

✖Root Mean Square of 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.ⓘ Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D [V_RMS]

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Formula

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

Formula

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

Example

`"0.4816m/s"=("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 1D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
V_RMS = (P_gas*V)/(N_molecules*m)
This formula uses 5 Variables

Variables Used

Root Mean Square of Speed - (Measured in Meter per Second) - Root Mean Square of 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.
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

V_RMS = (P_gas*V)/(N_molecules*m) --> (0.215*0.0224)/(100*0.0001)

Evaluating ... ...

V_RMS = 0.4816

STEP 3: Convert Result to Output's Unit

0.4816 Meter per Second --> No Conversion Required

FINAL ANSWER

0.4816 Meter per Second <-- Root Mean Square of Speed

(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)

< 15 Important Formulae on 1D Calculators

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)

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)

Molar Mass of Gas given Average Velocity, Pressure, and Volume

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

Molar Mass of Gas given Temperature and Average Velocity in 1D

Go Molar Mass given AV and T = (pi*[R]*Temperature of Gas)/(2*(Average Velocity of Gas)^2)

Most Probable Velocity of Gas given Pressure and Volume

Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)

Most Probable Velocity of Gas given Temperature

Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

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)

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)

Molar Mass of gas given most probable Speed, Pressure and Volume

Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given Root Mean Square Speed and Pressure

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

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

Molar Mass given Most probable Speed and Temperature

Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)

Most Probable Velocity of Gas given Pressure and Density

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

Most Probable Velocity of Gas given RMS Velocity

Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

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

Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
V_RMS = (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 1D?

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D calculator uses Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule) to calculate the Root Mean Square of Speed, The Mean square speed of gas molecule given pressure and volume of gas in 1D formula is defined as the whole square of root mean square of gas molecule in 1D. Root Mean Square of Speed is denoted by V_RMS symbol.

How to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D using this online calculator? To use this online calculator for Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D, 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 1D calculation can be explained with given input values -> 0.4816 = (0.215*0.0224)/(100*0.0001).

FAQ

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

The Mean square speed of gas molecule given pressure and volume of gas in 1D formula is defined as the whole square of root mean square of gas molecule in 1D and is represented as V_RMS = (P_gas*V)/(N_molecules*m) or Root Mean Square of Speed = (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 1D?

The Mean square speed of gas molecule given pressure and volume of gas in 1D formula is defined as the whole square of root mean square of gas molecule in 1D is calculated using Root Mean Square of Speed = (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 1D, 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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