RMS Velocity given Most Probable Velocity Calculator

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✖The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity [C_mp]

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✖The Root Mean Square 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.ⓘ RMS Velocity given Most Probable Velocity [C_RMS]

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Formula

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RMS Velocity given Most Probable Velocity

Formula

`"C"_{"RMS"} = ("C"_{"mp"}/0.8166)`

Example

`"24.4918m/s"=("20m/s"/0.8166)`

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Download Kinetic Theory of Gases Formula PDF

RMS Velocity given Most Probable Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = (Most Probable Velocity/0.8166)
C_RMS = (C_mp/0.8166)
This formula uses 2 Variables

Variables Used

Root Mean Square Speed - (Measured in Meter per Second) - The Root Mean Square 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.
Most Probable Velocity - (Measured in Meter per Second) - The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.

STEP 1: Convert Input(s) to Base Unit

Most Probable Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_RMS = (C_mp/0.8166) --> (20/0.8166)

Evaluating ... ...

C_RMS = 24.4917952485917

STEP 3: Convert Result to Output's Unit

24.4917952485917 Meter per Second --> No Conversion Required

FINAL ANSWER

24.4917952485917 ≈ 24.4918 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

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

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National Institute of Information Technology (NIIT), Neemrana

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< 13 RMS Velocity Calculators

RMS Velocity given Pressure and Volume of Gas in 2D

Go Root Mean Square Speed = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)

RMS Velocity given Pressure and Volume of Gas

Go Root Mean Square Speed = sqrt((3*Pressure of Gas*Volume of Gas)/Molar Mass)

RMS Velocity given Pressure and Volume of Gas in 1D

Go Root Mean Square Speed = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)

RMS Velocity given Temperature and Molar Mass in 2D

Go Root Mean Square Speed = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

RMS Velocity given Temperature and Molar Mass

Go Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass)

RMS Velocity given Temperature and Molar Mass in 1D

Go Root Mean Square Speed = sqrt(([R]*Temperature of Gas)/Molar Mass)

RMS Velocity given Pressure and Density in 2D

Go Root Mean Square Speed = sqrt((2*Pressure of Gas)/Density of Gas)

RMS Velocity given Pressure and Density

Go Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)

RMS Velocity given Pressure and Density in 1D

Go Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)

RMS Velocity given Most Probable Velocity in 2D

Go Root Mean Square Speed = (Most Probable Velocity*sqrt(2))

RMS Velocity given Average Velocity in 2D

Go Root Mean Square Speed = (Average Velocity of Gas*1.0854)

RMS Velocity given Average Velocity

Go Root Mean Square Speed = (Average Velocity of Gas/0.9213)

RMS Velocity given Most Probable Velocity

Go Root Mean Square Speed = (Most Probable Velocity/0.8166)

RMS Velocity given Most Probable Velocity Formula

Root Mean Square Speed = (Most Probable Velocity/0.8166)
C_RMS = (C_mp/0.8166)

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 RMS Velocity given Most Probable Velocity?

RMS Velocity given Most Probable Velocity calculator uses Root Mean Square Speed = (Most Probable Velocity/0.8166) to calculate the Root Mean Square Speed, The RMS Velocity given Most Probable Velocity formula is defined as the ratio of the most probable speed of the gaseous molecule to the numerical constant of 0.8166. Root Mean Square Speed is denoted by C_RMS symbol.

How to calculate RMS Velocity given Most Probable Velocity using this online calculator? To use this online calculator for RMS Velocity given Most Probable Velocity, enter Most Probable Velocity (C_mp) and hit the calculate button. Here is how the RMS Velocity given Most Probable Velocity calculation can be explained with given input values -> 24.4918 = (20/0.8166).

FAQ

What is RMS Velocity given Most Probable Velocity?

The RMS Velocity given Most Probable Velocity formula is defined as the ratio of the most probable speed of the gaseous molecule to the numerical constant of 0.8166 and is represented as C_RMS = (C_mp/0.8166) or Root Mean Square Speed = (Most Probable Velocity/0.8166). The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.

How to calculate RMS Velocity given Most Probable Velocity?

The RMS Velocity given Most Probable Velocity formula is defined as the ratio of the most probable speed of the gaseous molecule to the numerical constant of 0.8166 is calculated using Root Mean Square Speed = (Most Probable Velocity/0.8166). To calculate RMS Velocity given Most Probable Velocity, you need Most Probable Velocity (C_mp). With our tool, you need to enter the respective value for Most Probable Velocity 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 Root Mean Square Speed?

In this formula, Root Mean Square Speed uses Most Probable Velocity. We can use 12 other way(s) to calculate the same, which is/are as follows -

Root Mean Square Speed = (Most Probable Velocity*sqrt(2))
Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)
Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)
Root Mean Square Speed = sqrt((2*Pressure of Gas)/Density of Gas)
Root Mean Square Speed = sqrt((3*Pressure of Gas*Volume of Gas)/Molar Mass)
Root Mean Square Speed = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)
Root Mean Square Speed = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)
Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass)
Root Mean Square Speed = sqrt(([R]*Temperature of Gas)/Molar Mass)
Root Mean Square Speed = sqrt((2*[R]*Temperature of Gas)/Molar Mass)
Root Mean Square Speed = (Average Velocity of Gas/0.9213)
Root Mean Square Speed = (Average Velocity of Gas*1.0854)

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