Pressure of Gas given Average Velocity and Volume in 2D Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)
PAV_V = (Mmolar*2*((Cav)^2))/(pi*Vg)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Pressure of Gas given AV and V - (Measured in Pascal) - Pressure of Gas given AV and V is the force that the gas exerts on the walls of its container.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Average Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.
Volume of Gas for 1D and 2D - (Measured in Cubic Meter) - Volume of Gas for 1D and 2D is the amount of space that it occupies.
STEP 1: Convert Input(s) to Base Unit
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion ​here)
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Volume of Gas for 1D and 2D: 22.45 Liter --> 0.02245 Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PAV_V = (Mmolar*2*((Cav)^2))/(pi*Vg) --> (0.04401*2*((5)^2))/(pi*0.02245)
Evaluating ... ...
PAV_V = 31.200040291645
STEP 3: Convert Result to Output's Unit
31.200040291645 Pascal --> No Conversion Required
FINAL ANSWER
31.200040291645 31.20004 Pascal <-- Pressure of Gas given AV and V
(Calculation completed in 00.020 seconds)

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Pressure of Gas Calculators

Pressure of Gas given Average Velocity and Volume in 2D
​ LaTeX ​ 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
​ LaTeX ​ Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
Pressure of Gas given Average Velocity and Density in 2D
​ LaTeX ​ 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
​ LaTeX ​ Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

Important Formulae on 2D Calculators

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D
​ LaTeX ​ Go Root Mean Square Speed 2D = (2*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
Molar Mass of Gas given Average Velocity, Pressure, and Volume in 2D
​ LaTeX ​ Go Molar Mass 2D = (pi*Pressure of Gas*Volume of Gas)/(2*((Average Velocity of Gas)^2))
Most Probable Velocity of Gas given Pressure and Density in 2D
​ LaTeX ​ Go Most Probable Velocity given P and D = sqrt((Pressure of Gas)/Density of Gas)
Molar Mass given Most Probable Speed and Temperature in 2D
​ LaTeX ​ Go Molar Mass in 2D = ([R]*Temperature of Gas)/((Most Probable Velocity)^2)

Pressure of Gas given Average Velocity and Volume in 2D Formula

​LaTeX ​Go
Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D)
PAV_V = (Mmolar*2*((Cav)^2))/(pi*Vg)

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 Average Velocity and Volume in 2D?

Pressure of Gas given Average Velocity and Volume in 2D calculator uses Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D) to calculate the Pressure of Gas given AV and V, The Pressure of gas given average velocity and volume in 2D formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity and pressure inversely proportional with the volume of gas. Pressure of Gas given AV and V is denoted by PAV_V symbol.

How to calculate Pressure of Gas given Average Velocity and Volume in 2D using this online calculator? To use this online calculator for Pressure of Gas given Average Velocity and Volume in 2D, enter Molar Mass (Mmolar), Average Velocity of Gas (Cav) & Volume of Gas for 1D and 2D (Vg) and hit the calculate button. Here is how the Pressure of Gas given Average Velocity and Volume in 2D calculation can be explained with given input values -> 0.0312 = (0.04401*2*((5)^2))/(pi*22.45).

FAQ

What is Pressure of Gas given Average Velocity and Volume in 2D?
The Pressure of gas given average velocity and volume in 2D formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity and pressure inversely proportional with the volume of gas and is represented as PAV_V = (Mmolar*2*((Cav)^2))/(pi*Vg) or Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D). Molar Mass is the mass of a given substance divided by the amount of substance, The Average Velocity of Gas is the mean of all the velocities of the gas molecule & Volume of Gas for 1D and 2D is the amount of space that it occupies.
How to calculate Pressure of Gas given Average Velocity and Volume in 2D?
The Pressure of gas given average velocity and volume in 2D formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity and pressure inversely proportional with the volume of gas is calculated using Pressure of Gas given AV and V = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Volume of Gas for 1D and 2D). To calculate Pressure of Gas given Average Velocity and Volume in 2D, you need Molar Mass (Mmolar), Average Velocity of Gas (Cav) & Volume of Gas for 1D and 2D (Vg). With our tool, you need to enter the respective value for Molar Mass, Average Velocity of Gas & Volume of Gas for 1D and 2D 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 given AV and V?
In this formula, Pressure of Gas given AV and V uses Molar Mass, Average Velocity of Gas & Volume of Gas for 1D and 2D. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)
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