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)
Cmp_RMS = (0.8166*CRMS)
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
Cmp_RMS = (0.8166*CRMS) --> (0.8166*10)
Evaluating ... ...
Cmp_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)

Credits

Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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National Institute of Information Technology (NIIT), Neemrana
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8 Most Probable Velocity of Gas Calculators

Most Probable Velocity of Gas given Pressure and Volume
Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)
Most Probable Velocity of Gas given Pressure and Volume in 2D
Go Most Probable Velocity given P and V = sqrt((Pressure of Gas*Volume of Gas)/Molar Mass)
Most Probable Velocity of Gas given Temperature
Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)
Most Probable Velocity of Gas given Temperature in 2D
Go Most Probable Velocity given T = sqrt(([R]*Temperature of Gas)/Molar Mass)
Most Probable Velocity of Gas given Pressure and Density
Go Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)
Most Probable Velocity of Gas given Pressure and Density in 2D
Go Most Probable Velocity given P and D = sqrt((Pressure of Gas)/Density of Gas)
Most Probable Velocity of Gas given RMS Velocity in 2D
Go Most Probable Velocity given RMS = (0.7071*Root Mean Square Speed)
Most Probable Velocity of Gas given RMS Velocity
Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

15 Important Formulae on 1D Calculators

Pressure of Gas given Average Velocity and Volume
Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D
Go Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
Molar Mass of Gas given Average Velocity, Pressure, and Volume
Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))
Molar Mass of Gas given Temperature and Average Velocity in 1D
Go Molar Mass given AV and T = (pi*[R]*Temperature of Gas)/(2*(Average Velocity of Gas)^2)
Most Probable Velocity of Gas given Pressure and Volume
Go Most Probable Velocity given P and V = sqrt((2*Pressure of Gas*Volume of Gas)/Molar Mass)
Most Probable Velocity of Gas given Temperature
Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)
Pressure of Gas given most probable Speed and Volume
Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
Molar Mass of Gas given Root Mean Square Speed and Pressure in 2D
Go Molar Mass given S and V = (2*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Molar Mass of gas given most probable Speed, Pressure and Volume
Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)
Molar Mass of Gas given Root Mean Square Speed and Pressure
Go Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Pressure of Gas given Average Velocity and Density
Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8
Molar Mass given Most probable Speed and Temperature
Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)
Most Probable Velocity of Gas given Pressure and Density
Go Most Probable Velocity given P and D = sqrt((2*Pressure of Gas)/Density of Gas)
Pressure of Gas given most probable Speed and Density
Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2
Most Probable Velocity of Gas given RMS Velocity
Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

Most Probable Velocity of Gas given RMS Velocity Formula

Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)
Cmp_RMS = (0.8166*CRMS)

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 Cmp_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 (CRMS) 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 Cmp_RMS = (0.8166*CRMS) 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 (CRMS). 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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