Average Velocity of Gas given Root Mean Square Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Velocity given RMS = (0.9213*Root Mean Square of Speed)
vavg_RMS = (0.9213*CRMS_speed)
This formula uses 2 Variables
Variables Used
Average Velocity given RMS - (Measured in Meter per Second) - Average Velocity given RMS is defined as the mean of all different velocities.
Root Mean Square of Speed - (Measured in Meter per Second) - The Root Mean Square of 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.
STEP 1: Convert Input(s) to Base Unit
Root Mean Square of Speed: 10.5 Meter per Second --> 10.5 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vavg_RMS = (0.9213*CRMS_speed) --> (0.9213*10.5)
Evaluating ... ...
vavg_RMS = 9.67365
STEP 3: Convert Result to Output's Unit
9.67365 Meter per Second --> No Conversion Required
FINAL ANSWER
9.67365 Meter per Second <-- Average Velocity given RMS
(Calculation completed in 00.004 seconds)

Credits

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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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Average Velocity of Gas given Root Mean Square Speed Formula

​LaTeX ​Go
Average Velocity given RMS = (0.9213*Root Mean Square of Speed)
vavg_RMS = (0.9213*CRMS_speed)

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 Average Velocity of Gas given Root Mean Square Speed?

Average Velocity of Gas given Root Mean Square Speed calculator uses Average Velocity given RMS = (0.9213*Root Mean Square of Speed) to calculate the Average Velocity given RMS, The Average velocity of gas given root mean square speed formula is defined as the product of root mean square speed with 0.9213. Average velocity is the mean velocity of every molecule of the gas. Average Velocity given RMS is denoted by vavg_RMS symbol.

How to calculate Average Velocity of Gas given Root Mean Square Speed using this online calculator? To use this online calculator for Average Velocity of Gas given Root Mean Square Speed, enter Root Mean Square of Speed (CRMS_speed) and hit the calculate button. Here is how the Average Velocity of Gas given Root Mean Square Speed calculation can be explained with given input values -> 9.67365 = (0.9213*10.5).

FAQ

What is Average Velocity of Gas given Root Mean Square Speed?
The Average velocity of gas given root mean square speed formula is defined as the product of root mean square speed with 0.9213. Average velocity is the mean velocity of every molecule of the gas and is represented as vavg_RMS = (0.9213*CRMS_speed) or Average Velocity given RMS = (0.9213*Root Mean Square of Speed). The Root Mean Square of 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.
How to calculate Average Velocity of Gas given Root Mean Square Speed?
The Average velocity of gas given root mean square speed formula is defined as the product of root mean square speed with 0.9213. Average velocity is the mean velocity of every molecule of the gas is calculated using Average Velocity given RMS = (0.9213*Root Mean Square of Speed). To calculate Average Velocity of Gas given Root Mean Square Speed, you need Root Mean Square of Speed (CRMS_speed). With our tool, you need to enter the respective value for Root Mean Square of Speed 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 Average Velocity given RMS?
In this formula, Average Velocity given RMS uses Root Mean Square of Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Average Velocity given RMS = (0.8862*Root Mean Square of Speed)
  • Average Velocity given RMS = (0.8862*Root Mean Square of Speed)
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