Most Probable Velocity of Gas given Pressure and Volume 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%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%

✖Most Probable Velocity given P and V is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity of Gas given Pressure and Volume in 2D [C_{P_V}]

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Formula

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

Formula

`"C"_{"P_V"} = sqrt(("P"_{"gas"}*"V")/"M"_{"molar"})`

Example

`"0.330802m/s"=sqrt(("0.215Pa"*"22.4L")/"44.01g/mol")`

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Download Kinetic Theory of Gases Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)
C_{P_V} = sqrt((P_gas*V)/M_molar)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Most Probable Velocity given P and V - (Measured in Meter per Second) - Most Probable Velocity given P and V is the velocity possessed by a maximum fraction of molecules at the same temperature.
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.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

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)
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{P_V} = sqrt((P_gas*V)/M_molar) --> sqrt((0.215*0.0224)/0.04401)

Evaluating ... ...

C_{P_V} = 0.330801564497278

STEP 3: Convert Result to Output's Unit

0.330801564497278 Meter per Second --> No Conversion Required

FINAL ANSWER

0.330801564497278 ≈ 0.330802 Meter per Second <-- Most Probable Velocity given P and V

(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 8 Most Probable Velocity of Gas Calculators

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 Pressure and Volume in 2D

Go Most Probable Velocity given P and V = sqrt((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)

Most Probable Velocity of Gas given Temperature in 2D

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

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)

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)

Most Probable Velocity of Gas given RMS Velocity in 2D

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

Most Probable Velocity of Gas given RMS Velocity

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

< 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)

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

Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)
C_{P_V} = sqrt((P_gas*V)/M_molar)

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

Most Probable Velocity of Gas given Pressure and Volume in 2D calculator uses Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass) to calculate the Most Probable Velocity given P and V, The Most probable velocity of gas given pressure and volume in 2D formula is defined as the ratio of the square root of pressure and volume to the molar mass of the particular gas. Most Probable Velocity given P and V is denoted by C_{P_V} symbol.

How to calculate Most Probable Velocity of Gas given Pressure and Volume in 2D using this online calculator? To use this online calculator for Most Probable Velocity of Gas given Pressure and Volume in 2D, enter Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) and hit the calculate button. Here is how the Most Probable Velocity of Gas given Pressure and Volume in 2D calculation can be explained with given input values -> 0.330802 = sqrt((0.215*0.0224)/0.04401).

FAQ

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

The Most probable velocity of gas given pressure and volume in 2D formula is defined as the ratio of the square root of pressure and volume to the molar mass of the particular gas and is represented as C_{P_V} = sqrt((P_gas*V)/M_molar) or Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass). 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 & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Most Probable Velocity of Gas given Pressure and Volume in 2D?

The Most probable velocity of gas given pressure and volume in 2D formula is defined as the ratio of the square root of pressure and volume to the molar mass of the particular gas is calculated using Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass). To calculate Most Probable Velocity of Gas given Pressure and Volume in 2D, you need Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Gas & Molar Mass 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 Most Probable Velocity given P and V?

In this formula, Most Probable Velocity given P and V uses Pressure of Gas, Volume of Gas & Molar Mass. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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