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Pressure of Gas given Average Velocity and Density Calculator

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✖The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%

✖Pressure of Gas given AV and D is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Average Velocity and Density [P_{AV_D}]

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Pressure of Gas given Average Velocity and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8
P_{AV_D} = (ρ_gas*pi*((C_av)^2))/8
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pressure of Gas given AV and D - (Measured in Pascal) - Pressure of Gas given AV and D 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.
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.

STEP 1: Convert Input(s) to Base Unit

Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{AV_D} = (ρ_gas*pi*((C_av)^2))/8 --> (0.00128*pi*((5)^2))/8

Evaluating ... ...

P_{AV_D} = 0.0125663706143592

STEP 3: Convert Result to Output's Unit

0.0125663706143592 Pascal --> No Conversion Required

FINAL ANSWER

0.0125663706143592 ≈ 0.012566 Pascal <-- Pressure of Gas given AV and D

(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 1D Calculators

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D

LaTeX 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

LaTeX 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 most probable Speed, Pressure and Volume

LaTeX Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass given Most probable Speed and Temperature

LaTeX Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)

Pressure of Gas given Average Velocity and Density Formula

LaTeX Go

Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8
P_{AV_D} = (ρ_gas*pi*((C_av)^2))/8

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 Density?

Pressure of Gas given Average Velocity and Density calculator uses Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8 to calculate the Pressure of Gas given AV and D, The Pressure of gas given average velocity and density formula is defined as a direct proportion of pressure with density and square of the average velocity of the gas. Pressure of Gas given AV and D is denoted by P_{AV_D} symbol.

How to calculate Pressure of Gas given Average Velocity and Density using this online calculator? To use this online calculator for Pressure of Gas given Average Velocity and Density, enter Density of Gas (ρ_gas) & Average Velocity of Gas (C_av) and hit the calculate button. Here is how the Pressure of Gas given Average Velocity and Density calculation can be explained with given input values -> 0.012566 = (0.00128*pi*((5)^2))/8.

FAQ

What is Pressure of Gas given Average Velocity and Density?

The Pressure of gas given average velocity and density formula is defined as a direct proportion of pressure with density and square of the average velocity of the gas and is represented as P_{AV_D} = (ρ_gas*pi*((C_av)^2))/8 or Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8. The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure & The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate Pressure of Gas given Average Velocity and Density?

The Pressure of gas given average velocity and density formula is defined as a direct proportion of pressure with density and square of the average velocity of the gas is calculated using Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8. To calculate Pressure of Gas given Average Velocity and Density, you need Density of Gas (ρ_gas) & Average Velocity of Gas (C_av). With our tool, you need to enter the respective value for Density of Gas & Average Velocity 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 given AV and D?

In this formula, Pressure of Gas given AV and D uses Density of Gas & Average Velocity of Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas given AV and D = (Density of Gas*2*((Average Velocity of Gas)^2))/pi

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