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Pressure of Gas given Average Velocity and Density Formula

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Pressure of Gas given AV and D is the force that the gas exerts on the walls of its container. Check FAQs

P AV_D = \frac{ρ gas \cdot π \cdot ({(C av)}^{2})}{8}

P_{AV_D} - Pressure of Gas given AV and D?ρ_gas - Density of Gas?C_av - Average Velocity of Gas?π - Archimedes' constant?

Pressure of Gas given Average Velocity and Density Example

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Here is how the Pressure of Gas given Average Velocity and Density equation looks like with Values.

Here is how the Pressure of Gas given Average Velocity and Density equation looks like with Units.

Here is how the Pressure of Gas given Average Velocity and Density equation looks like.

0.0126 = \frac{0.0013 \cdot 3.1416 \cdot ({(5)}^{2})}{8}

0.0126Pa = \frac{0.0013kg/m³ \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8}

0.0126 = \frac{0.0013 \cdot 3.1416 \cdot ({(5)}^{2})}{8}

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Pressure of Gas given Average Velocity and Density Solution

Follow our step by step solution on how to calculate Pressure of Gas given Average Velocity and Density?

FIRST Step Consider the formula

P AV_D = \frac{ρ gas \cdot π \cdot ({(C av)}^{2})}{8}

Next Step Substitute values of Variables

∴

P AV_D = \frac{0.0013kg/m³ \cdot π \cdot ({(5m/s)}^{2})}{8}

Next Step Substitute values of Constants

∴

P AV_D = \frac{0.0013kg/m³ \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8}

Next Step Prepare to Evaluate

∴

P AV_D = \frac{0.0013 \cdot 3.1416 \cdot ({(5)}^{2})}{8}

Next Step Evaluate

∴

P AV_D = 0.0125663706143592Pa

LAST Step Rounding Answer

∴

P AV_D = 0.0126Pa

Pressure of Gas given Average Velocity and Density Formula Elements

Variables

Constants

Pressure of Gas given AV and D

Pressure of Gas given AV and D is the force that the gas exerts on the walls of its container.

Symbol: P_{AV_D}

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas given AV and D

Density of Gas

The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

Symbol: ρ_gas

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Gas

Average Velocity of Gas

The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

Symbol: C_av

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Gas

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Pressure of Gas category

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

V RMS = \frac{P gas \cdot V}{N molecules \cdot m}

Go Molar Mass given Most probable Speed and Temperature

M P_V = \frac{2 \cdot [R] \cdot T g}{{(C mp)}^{2}}

Go Molar Mass of Gas given Average Velocity, Pressure, and Volume

M AV_P = \frac{8 \cdot P gas \cdot V}{π \cdot ({(C av)}^{2})}

Go Molar Mass of gas given most probable Speed, Pressure and Volume

M S_P = \frac{2 \cdot P gas \cdot V}{{(C mp)}^{2}}

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

Pressure of Gas given Average Velocity and Density evaluator uses Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8 to evaluate 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 evaluate Pressure of Gas given Average Velocity and Density using this online evaluator? To use this online evaluator 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.

FAQs on Pressure of Gas given Average Velocity and Density

What is the formula to find Pressure of Gas given Average Velocity and Density?

The formula of Pressure of Gas given Average Velocity and Density is expressed as Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8. Here is an example- 0.012566 = (0.00128*pi*((5)^2))/8.

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

With Density of Gas (ρ_gas) & Average Velocity of Gas (C_av) we can find Pressure of Gas given Average Velocity and Density using the formula - Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8. This formula also uses Archimedes' constant .

Can the Pressure of Gas given Average Velocity and Density be negative?

Yes, the Pressure of Gas given Average Velocity and Density, measured in Pressure can be negative.

Which unit is used to measure Pressure of Gas given Average Velocity and Density?

Pressure of Gas given Average Velocity and Density is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure of Gas given Average Velocity and Density can be measured.

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