Most Probable Velocity of Gas given Pressure and Density 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 Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%

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

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Formula

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Most Probable Velocity of Gas given Pressure and Density

Formula

`"C"_{"P_D"} = sqrt((2*"P"_{"gas"})/"ρ"_{"gas"})`

Example

`"18.3286m/s"=sqrt((2*"0.215Pa")/"0.00128kg/m³")`

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Most Probable Velocity of Gas given Pressure and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)
C_{P_D} = sqrt((2*P_gas)/ρ_gas)
This formula uses 1 Functions, 3 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 D - (Measured in Meter per Second) - Most Probable Velocity given P and D 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.
Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{P_D} = sqrt((2*P_gas)/ρ_gas) --> sqrt((2*0.215)/0.00128)

Evaluating ... ...

C_{P_D} = 18.328597873269

STEP 3: Convert Result to Output's Unit

18.328597873269 Meter per Second --> No Conversion Required

FINAL ANSWER

18.328597873269 ≈ 18.3286 Meter per Second <-- Most Probable Velocity given P and D

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

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Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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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)

< 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)

Most Probable Velocity of Gas given Pressure and Density Formula

Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)
C_{P_D} = sqrt((2*P_gas)/ρ_gas)

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 Density?

Most Probable Velocity of Gas given Pressure and Density calculator uses Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas) to calculate the Most Probable Velocity given P and D, The Most probable velocity of gas given pressure and density formula is defined as the ratio of the square root of pressure to the density of the respective gas. Most Probable Velocity given P and D is denoted by C_{P_D} symbol.

How to calculate Most Probable Velocity of Gas given Pressure and Density using this online calculator? To use this online calculator for Most Probable Velocity of Gas given Pressure and Density, enter Pressure of Gas (P_gas) & Density of Gas (ρ_gas) and hit the calculate button. Here is how the Most Probable Velocity of Gas given Pressure and Density calculation can be explained with given input values -> 18.3286 = sqrt((2*0.215)/0.00128).

FAQ

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

The Most probable velocity of gas given pressure and density formula is defined as the ratio of the square root of pressure to the density of the respective gas and is represented as C_{P_D} = sqrt((2*P_gas)/ρ_gas) or Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas). The pressure of Gas is the force that the gas exerts on the walls of its container & The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

How to calculate Most Probable Velocity of Gas given Pressure and Density?

The Most probable velocity of gas given pressure and density formula is defined as the ratio of the square root of pressure to the density of the respective gas is calculated using Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas). To calculate Most Probable Velocity of Gas given Pressure and Density, you need Pressure of Gas (P_gas) & Density of Gas (ρ_gas). With our tool, you need to enter the respective value for Pressure of Gas & Density of Gas 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 D?

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

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

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