RMS Velocity given Average Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Speed = (Average Velocity of Gas/0.9213)
CRMS = (Cav/0.9213)
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
CRMS = (Cav/0.9213) --> (5/0.9213)
Evaluating ... ...
CRMS = 5.4271138608488
STEP 3: Convert Result to Output's Unit
5.4271138608488 Meter per Second --> No Conversion Required
FINAL ANSWER
5.4271138608488 5.427114 Meter per Second <-- Root Mean Square Speed
(Calculation completed in 00.004 seconds)

Credits

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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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 Formula

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

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?

RMS Velocity given Average Velocity calculator uses Root Mean Square Speed = (Average Velocity of Gas/0.9213) to calculate the Root Mean Square Speed, The RMS Velocity given Average Velocity formula is defined as the ratio of the average velocity of the gas to 0.9213. Root Mean Square Speed is denoted by CRMS symbol.

How to calculate RMS Velocity given Average Velocity using this online calculator? To use this online calculator for RMS Velocity given Average Velocity, enter Average Velocity of Gas (Cav) and hit the calculate button. Here is how the RMS Velocity given Average Velocity calculation can be explained with given input values -> 5.427114 = (5/0.9213).

FAQ

What is RMS Velocity given Average Velocity?
The RMS Velocity given Average Velocity formula is defined as the ratio of the average velocity of the gas to 0.9213 and is represented as CRMS = (Cav/0.9213) or Root Mean Square Speed = (Average Velocity of Gas/0.9213). The Average Velocity of Gas is the mean of all the velocities of the gas molecule.
How to calculate RMS Velocity given Average Velocity?
The RMS Velocity given Average Velocity formula is defined as the ratio of the average velocity of the gas to 0.9213 is calculated using Root Mean Square Speed = (Average Velocity of Gas/0.9213). To calculate RMS Velocity given Average Velocity, you need Average Velocity of Gas (Cav). 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*1.0854)
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