RMS Velocity given Pressure and Density in 1D Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)
CRMS = sqrt((Pgas)/ρgas)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
STEP 1: Convert Input(s) to Base Unit
Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CRMS = sqrt((Pgas)/ρgas) --> sqrt((0.215)/0.00128)
Evaluating ... ...
CRMS = 12.9602758458298
STEP 3: Convert Result to Output's Unit
12.9602758458298 Meter per Second --> No Conversion Required
FINAL ANSWER
12.9602758458298 12.96028 Meter per Second <-- Root Mean Square Speed
(Calculation completed in 00.020 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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 Pressure and Density in 1D Formula

Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)
CRMS = sqrt((Pgas)/ρgas)

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 Pressure and Density in 1D?

RMS Velocity given Pressure and Density in 1D calculator uses Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas) to calculate the Root Mean Square Speed, The RMS Velocity given Pressure and Density in 1D is defined as the direct proportion of root mean square speed with the square root of pressure and inverse proportion of root mean square with the square root of molar mass. Root Mean Square Speed is denoted by CRMS symbol.

How to calculate RMS Velocity given Pressure and Density in 1D using this online calculator? To use this online calculator for RMS Velocity given Pressure and Density in 1D, enter Pressure of Gas (Pgas) & Density of Gas gas) and hit the calculate button. Here is how the RMS Velocity given Pressure and Density in 1D calculation can be explained with given input values -> 12.96028 = sqrt((0.215)/0.00128).

FAQ

What is RMS Velocity given Pressure and Density in 1D?
The RMS Velocity given Pressure and Density in 1D is defined as the direct proportion of root mean square speed with the square root of pressure and inverse proportion of root mean square with the square root of molar mass and is represented as CRMS = sqrt((Pgas)/ρgas) or Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas). The pressure of Gas is the force that the gas exerts on the walls of its container & The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
How to calculate RMS Velocity given Pressure and Density in 1D?
The RMS Velocity given Pressure and Density in 1D is defined as the direct proportion of root mean square speed with the square root of pressure and inverse proportion of root mean square with the square root of molar mass is calculated using Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas). To calculate RMS Velocity given Pressure and Density in 1D, you need Pressure of Gas (Pgas) & Density of Gas gas). With our tool, you need to enter the respective value for Pressure of Gas & Density 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 Pressure of Gas & Density 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((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)
  • Root Mean Square Speed = (Average Velocity of Gas*1.0854)
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