Most Probable Velocity of Gas given Pressure and Volume 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 [C_{P_V}]

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Most Probable Velocity of Gas given Pressure and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)
C_{P_V} = sqrt((2*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((2*P_gas*V)/M_molar) --> sqrt((2*0.215*0.0224)/0.04401)

Evaluating ... ...

C_{P_V} = 0.467824058966289

STEP 3: Convert Result to Output's Unit

0.467824058966289 Meter per Second --> No Conversion Required

FINAL ANSWER

0.467824058966289 ≈ 0.467824 Meter per Second <-- Most Probable Velocity given P and V

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Most Probable Velocity of Gas given Pressure and Volume

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

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

Most Probable Velocity of Gas given Pressure and Density

LaTeX 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

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

< Important Formulae on 1D Calculators

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

LaTeX 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

LaTeX 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 most probable Speed, Pressure and Volume

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

Molar Mass given Most probable Speed and Temperature

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

Most Probable Velocity of Gas given Pressure and Volume Formula

LaTeX Go

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

Most Probable Velocity of Gas given Pressure and Volume calculator uses Most Probable Velocity given P and V = sqrt((2*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 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 using this online calculator? To use this online calculator for Most Probable Velocity of Gas given Pressure and Volume, 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 calculation can be explained with given input values -> 0.467824 = sqrt((2*0.215*0.0224)/0.04401).

FAQ

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

The Most probable velocity of gas given pressure and volume 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((2*P_gas*V)/M_molar) or Most Probable Velocity given P and V = sqrt((2*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?

The Most probable velocity of gas given pressure and volume 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((2*Pressure of Gas*Volume of Gas)/Molar Mass). To calculate Most Probable Velocity of Gas given Pressure and Volume, 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((Pressure of Gas*Volume of Gas)/Molar Mass)

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