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RMS Velocity given Most Probable Velocity in 2D 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 in 2D [C_RMS]

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RMS Velocity given Most Probable Velocity in 2D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = (Most Probable Velocity*sqrt(2))
C_RMS = (C_mp*sqrt(2))
This formula uses 1 Functions, 2 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

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*sqrt(2)) --> (20*sqrt(2))

Evaluating ... ...

C_RMS = 28.2842712474619

STEP 3: Convert Result to Output's Unit

28.2842712474619 Meter per Second --> No Conversion Required

FINAL ANSWER

28.2842712474619 ≈ 28.28427 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.006 seconds)

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< RMS Velocity Calculators

RMS Velocity given Pressure and Density

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

RMS Velocity given Pressure and Density in 1D

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

RMS Velocity given Most Probable Velocity in 2D

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

RMS Velocity given Most Probable Velocity

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

RMS Velocity given Most Probable Velocity in 2D Formula

LaTeX Go

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

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 in 2D?

RMS Velocity given Most Probable Velocity in 2D calculator uses Root Mean Square Speed = (Most Probable Velocity*sqrt(2)) to calculate the Root Mean Square Speed, The RMS Velocity given Most Probable Velocity in 2D formula is defined as the product of the most probable speed of the gaseous molecule to the square root of 2. Root Mean Square Speed is denoted by C_RMS symbol.

How to calculate RMS Velocity given Most Probable Velocity in 2D using this online calculator? To use this online calculator for RMS Velocity given Most Probable Velocity in 2D, enter Most Probable Velocity (C_mp) and hit the calculate button. Here is how the RMS Velocity given Most Probable Velocity in 2D calculation can be explained with given input values -> 28.28427 = (20*sqrt(2)).

FAQ

What is RMS Velocity given Most Probable Velocity in 2D?

The RMS Velocity given Most Probable Velocity in 2D formula is defined as the product of the most probable speed of the gaseous molecule to the square root of 2 and is represented as C_RMS = (C_mp*sqrt(2)) or Root Mean Square Speed = (Most Probable Velocity*sqrt(2)). 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 in 2D?

The RMS Velocity given Most Probable Velocity in 2D formula is defined as the product of the most probable speed of the gaseous molecule to the square root of 2 is calculated using Root Mean Square Speed = (Most Probable Velocity*sqrt(2)). To calculate RMS Velocity given Most Probable Velocity in 2D, 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 3 other way(s) to calculate the same, which is/are as follows -

Root Mean Square Speed = (Most Probable Velocity/0.8166)
Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)
Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)

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