Pressure of Gas given Root Mean Square Speed and Volume in 2D Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)
Pgas = ((CRMS)^2)*Mmolar/(2*Vgas)
This formula uses 4 Variables
Variables Used
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
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.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
STEP 1: Convert Input(s) to Base Unit
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pgas = ((CRMS)^2)*Mmolar/(2*Vgas) --> ((10)^2)*0.04401/(2*0.0224)
Evaluating ... ...
Pgas = 98.2366071428571
STEP 3: Convert Result to Output's Unit
98.2366071428571 Pascal --> No Conversion Required
FINAL ANSWER
98.2366071428571 98.23661 Pascal <-- Pressure of Gas
(Calculation completed in 00.004 seconds)

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20 Pressure of Gas Calculators

Pressure of Gas given Average Velocity and Volume in 2D
Go Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)
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)
STP
Go Volume at STP = Volume*(Temperature at STP/Temperature)*(Pressure/Pressure at STP)
Pressure of Gas Molecules in 2D Box
Go Pressure of Gas = (1/2)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas Molecules in 3D Box
Go Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas Molecules in 1D Box
Go Pressure of Gas = ((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
Pressure of Gas given Compressibility Factor
Go Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas
Pressure of Gas given Most Probable Speed and Volume in 2D
Go Pressure of Gas given CMS and V in 2D = (Molar Mass*(Most Probable Velocity)^2)/(Volume of Gas for 1D and 2D)
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)
Pressure of Gas given Average Velocity and Density in 2D
Go Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi
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
Pressure of Gas given Root Mean Square Speed and Volume in 2D
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)
Pressure of Gas given Root Mean Square Speed and Volume
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
Pressure of Gas given Root Mean Square Speed and Volume in 1D
Go Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Volume 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
Pressure of Gas given most probable Speed and Density in 2D
Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))
Pressure of Gas given Root Mean Square Speed and Density in 2D
Go Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Root Mean Square Speed and Density
Go Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Root Mean Square Speed and Density in 1D
Go Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas given Kinetic Energy
Go Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)

Pressure of Gas given Root Mean Square Speed and Volume in 2D Formula

Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas)
Pgas = ((CRMS)^2)*Mmolar/(2*Vgas)

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 Pressure of Gas given Root Mean Square Speed and Volume in 2D?

Pressure of Gas given Root Mean Square Speed and Volume in 2D calculator uses Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas) to calculate the Pressure of Gas, The Pressure of gas given root mean square speed and Volume in 2D formula is defined as the ratio of mean square speed and molar mass to the volume of the gas. Pressure of Gas is denoted by Pgas symbol.

How to calculate Pressure of Gas given Root Mean Square Speed and Volume in 2D using this online calculator? To use this online calculator for Pressure of Gas given Root Mean Square Speed and Volume in 2D, enter Root Mean Square Speed (CRMS), Molar Mass (Mmolar) & Volume of Gas (Vgas) and hit the calculate button. Here is how the Pressure of Gas given Root Mean Square Speed and Volume in 2D calculation can be explained with given input values -> 98.23661 = ((10)^2)*0.04401/(2*0.0224).

FAQ

What is Pressure of Gas given Root Mean Square Speed and Volume in 2D?
The Pressure of gas given root mean square speed and Volume in 2D formula is defined as the ratio of mean square speed and molar mass to the volume of the gas and is represented as Pgas = ((CRMS)^2)*Mmolar/(2*Vgas) or Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas). 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, Molar Mass is the mass of a given substance divided by the amount of substance & The volume of Gas is the amount of space that it occupies.
How to calculate Pressure of Gas given Root Mean Square Speed and Volume in 2D?
The Pressure of gas given root mean square speed and Volume in 2D formula is defined as the ratio of mean square speed and molar mass to the volume of the gas is calculated using Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Volume of Gas). To calculate Pressure of Gas given Root Mean Square Speed and Volume in 2D, you need Root Mean Square Speed (CRMS), Molar Mass (Mmolar) & Volume of Gas (Vgas). With our tool, you need to enter the respective value for Root Mean Square Speed, Molar Mass & Volume 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 Pressure of Gas?
In this formula, Pressure of Gas uses Root Mean Square Speed, Molar Mass & Volume of Gas. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)
  • Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
  • Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))
  • Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))
  • Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Volume of Gas)
  • Pressure of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Volume of Gas)
  • Pressure of Gas = (Compressibility Factor*[R]*Temperature of Gas)/Molar Volume of Real Gas
  • Pressure of Gas = ((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
  • Pressure of Gas = (1/2)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
  • Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas)
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