Most Probable Velocity of Gas given RMS Velocity Calculator

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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.ⓘ Root Mean Square Speed [C_RMS]

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✖Most Probable Velocity given RMS is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity of Gas given RMS Velocity [C_{mp_RMS}]

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Most Probable Velocity of Gas given RMS Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)
C_{mp_RMS} = (0.8166*C_RMS)
This formula uses 2 Variables

Variables Used

Most Probable Velocity given RMS - (Measured in Meter per Second) - Most Probable Velocity given RMS is the velocity possessed by a maximum fraction of molecules at the same temperature.
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.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_{mp_RMS} = (0.8166*C_RMS) --> (0.8166*10)

Evaluating ... ...

C_{mp_RMS} = 8.166

STEP 3: Convert Result to Output's Unit

8.166 Meter per Second --> No Conversion Required

FINAL ANSWER

8.166 Meter per Second <-- Most Probable Velocity given RMS

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

Prashant Singh has created this Calculator and 700+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

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Most Probable Velocity of Gas given RMS Velocity Formula

LaTeX Go

Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)
C_{mp_RMS} = (0.8166*C_RMS)

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 Most Probable Velocity of Gas given RMS Velocity?

Most Probable Velocity of Gas given RMS Velocity calculator uses Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed) to calculate the Most Probable Velocity given RMS, The Most probable velocity of gas given RMS velocity formula is defined as the product of the root mean square speed of the gas with 0.8166. Most Probable Velocity given RMS is denoted by C_{mp_RMS} symbol.

How to calculate Most Probable Velocity of Gas given RMS Velocity using this online calculator? To use this online calculator for Most Probable Velocity of Gas given RMS Velocity, enter Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Most Probable Velocity of Gas given RMS Velocity calculation can be explained with given input values -> 8.166 = (0.8166*10).

FAQ

What is Most Probable Velocity of Gas given RMS Velocity?

The Most probable velocity of gas given RMS velocity formula is defined as the product of the root mean square speed of the gas with 0.8166 and is represented as C_{mp_RMS} = (0.8166*C_RMS) or Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed). 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.

How to calculate Most Probable Velocity of Gas given RMS Velocity?

The Most probable velocity of gas given RMS velocity formula is defined as the product of the root mean square speed of the gas with 0.8166 is calculated using Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed). To calculate Most Probable Velocity of Gas given RMS Velocity, you need Root Mean Square Speed (C_RMS). With our tool, you need to enter the respective value for Root Mean Square 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 Most Probable Velocity given RMS?

In this formula, Most Probable Velocity given RMS uses Root Mean Square Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Most Probable Velocity given RMS = (0.7071*Root Mean Square Speed)

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