RMS Velocity given Average Velocity in 2D Calculator

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✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]

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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 Average Velocity in 2D [C_RMS]

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Formula

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RMS Velocity given Average Velocity in 2D

Formula

`"C"_{"RMS"} = ("C"_{"av"}*1.0854)`

Example

`"5.427m/s"=("5m/s"*1.0854)`

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Download Kinetic Theory of Gases Formula PDF

RMS Velocity given Average Velocity in 2D Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = (Average Velocity of Gas*1.0854)
C_RMS = (C_av*1.0854)
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.
Average Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

STEP 1: Convert Input(s) to Base Unit

Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_RMS = (C_av*1.0854) --> (5*1.0854)

Evaluating ... ...

C_RMS = 5.427

STEP 3: Convert Result to Output's Unit

5.427 Meter per Second --> No Conversion Required

FINAL ANSWER

5.427 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

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

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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 Average Velocity in 2D Formula

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

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 Average Velocity in 2D?

RMS Velocity given Average Velocity in 2D calculator uses Root Mean Square Speed = (Average Velocity of Gas*1.0854) to calculate the Root Mean Square Speed, The RMS Velocity given Average Velocity in 2D formula is defined as the product of the average velocity of the gas with 1.0854. Root Mean Square Speed is denoted by C_RMS symbol.

How to calculate RMS Velocity given Average Velocity in 2D using this online calculator? To use this online calculator for RMS Velocity given Average Velocity in 2D, enter Average Velocity of Gas (C_av) and hit the calculate button. Here is how the RMS Velocity given Average Velocity in 2D calculation can be explained with given input values -> 5.427 = (5*1.0854).

FAQ

What is RMS Velocity given Average Velocity in 2D?

The RMS Velocity given Average Velocity in 2D formula is defined as the product of the average velocity of the gas with 1.0854 and is represented as C_RMS = (C_av*1.0854) or Root Mean Square Speed = (Average Velocity of Gas*1.0854). The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate RMS Velocity given Average Velocity in 2D?

The RMS Velocity given Average Velocity in 2D formula is defined as the product of the average velocity of the gas with 1.0854 is calculated using Root Mean Square Speed = (Average Velocity of Gas*1.0854). To calculate RMS Velocity given Average Velocity in 2D, you need Average Velocity of Gas (C_av). With our tool, you need to enter the respective value for Average Velocity 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 Root Mean Square Speed?

In this formula, Root Mean Square Speed uses Average Velocity of Gas. We can use 12 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 = (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)

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