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Pressure of Gas given Average Velocity and Volume Formula

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

P AV_V = \frac{M molar \cdot π \cdot ({(C av)}^{2})}{8 \cdot V g}

P_{AV_V} - Pressure of Gas given AV and V?M_molar - Molar Mass?C_av - Average Velocity of Gas?V_g - Volume of Gas for 1D and 2D?π - Archimedes' constant?

Pressure of Gas given Average Velocity and Volume Example

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

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

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

19.2458 = \frac{44.01 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 22.45}

19.2458Pa = \frac{44.01g/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 22.45L}

19.2458 = \frac{44.01 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 22.45}

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Pressure of Gas given Average Velocity and Volume Solution

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

FIRST Step Consider the formula

P AV_V = \frac{M molar \cdot π \cdot ({(C av)}^{2})}{8 \cdot V g}

Next Step Substitute values of Variables

∴

P AV_V = \frac{44.01g/mol \cdot π \cdot ({(5m/s)}^{2})}{8 \cdot 22.45L}

Next Step Substitute values of Constants

∴

P AV_V = \frac{44.01g/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 22.45L}

Next Step Convert Units

∴

P AV_V = \frac{0.044kg/mol \cdot 3.1416 \cdot ({(5m/s)}^{2})}{8 \cdot 0.0224m³}

Next Step Prepare to Evaluate

∴

P AV_V = \frac{0.044 \cdot 3.1416 \cdot ({(5)}^{2})}{8 \cdot 0.0224}

Next Step Evaluate

∴

P AV_V = 19.2457534360366Pa

LAST Step Rounding Answer

∴

P AV_V = 19.2458Pa

Pressure of Gas given Average Velocity and Volume Formula Elements

Variables

Constants

Pressure of Gas given AV and V

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

Symbol: P_{AV_V}

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas given AV and V

Molar Mass

Molar Mass is the mass of a given substance divided by the amount of substance.

Symbol: M_molar

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass

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

Volume of Gas for 1D and 2D

Volume of Gas for 1D and 2D is the amount of space that it occupies.

Symbol: V_g

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Gas for 1D and 2D

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 Volume?

Pressure of Gas given Average Velocity and Volume evaluator uses Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D) to evaluate the Pressure of Gas given AV and V, The Pressure of gas given average velocity and volume formula is defined as the direct proportion of pressure with the product of molar mass and square of the average velocity. And pressure inverse proportion with the volume of gas. Pressure of Gas given AV and V is denoted by P_{AV_V} symbol.

How to evaluate Pressure of Gas given Average Velocity and Volume using this online evaluator? To use this online evaluator for Pressure of Gas given Average Velocity and Volume, enter Molar Mass (M_molar), Average Velocity of Gas (C_av) & Volume of Gas for 1D and 2D (V_g) and hit the calculate button.

FAQs on Pressure of Gas given Average Velocity and Volume

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

The formula of Pressure of Gas given Average Velocity and Volume is expressed as Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D). Here is an example- 0.019289 = (0.04401*pi*((5)^2))/(8*22.45).

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

With Molar Mass (M_molar), Average Velocity of Gas (C_av) & Volume of Gas for 1D and 2D (V_g) we can find Pressure of Gas given Average Velocity and Volume using the formula - Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D). This formula also uses Archimedes' constant .

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

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

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

Pressure of Gas given Average Velocity and Volume 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 Volume can be measured.

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Pressure of Gas given Average Velocity and Volume Formula

Pressure of Gas given Average Velocity and Volume Example

Pressure of Gas given Average Velocity and Volume Solution

Pressure of Gas given Average Velocity and Volume Formula Elements

Other formulas in Pressure of Gas category

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

FAQs on Pressure of Gas given Average Velocity and Volume

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