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Volume of Gas Molecules in 3D Box given Pressure Formula

GoVolume of Gas given Average Velocity and Pressure Formula

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

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The volume of Gas is the amount of space that it occupies. Check FAQs

V gas = (\frac{1}{3}) \cdot (\frac{N molecules \cdot m \cdot {(C RMS)}^{2}}{P gas})

V_gas - Volume of Gas?N_molecules - Number of Molecules?m - Mass of Each Molecule?C_RMS - Root Mean Square Speed?P_gas - Pressure of Gas?

Volume of Gas Molecules in 3D Box given Pressure Example

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Here is how the Volume of Gas Molecules in 3D Box given Pressure equation looks like with Values.

Here is how the Volume of Gas Molecules in 3D Box given Pressure equation looks like with Units.

Here is how the Volume of Gas Molecules in 3D Box given Pressure equation looks like.

1550.3876 = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1 \cdot {(10)}^{2}}{0.215})

1550.3876L = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1g \cdot {(10m/s)}^{2}}{0.215Pa})

1550.3876 = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1 \cdot {(10)}^{2}}{0.215})

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Volume of Gas Molecules in 3D Box given Pressure Solution

Follow our step by step solution on how to calculate Volume of Gas Molecules in 3D Box given Pressure?

FIRST Step Consider the formula

V gas = (\frac{1}{3}) \cdot (\frac{N molecules \cdot m \cdot {(C RMS)}^{2}}{P gas})

Next Step Substitute values of Variables

∴

V gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1g \cdot {(10m/s)}^{2}}{0.215Pa})

Next Step Convert Units

∴

V gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.0001kg \cdot {(10m/s)}^{2}}{0.215Pa})

Next Step Prepare to Evaluate

∴

V gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.0001 \cdot {(10)}^{2}}{0.215})

Next Step Evaluate

∴

V gas = 1.55038759689922m³

Next Step Convert to Output's Unit

∴

V gas = 1550.38759689922L

LAST Step Rounding Answer

∴

V gas = 1550.3876L

Volume of Gas Molecules in 3D Box given Pressure Formula Elements

Variables

Volume of Gas

The volume of Gas is the amount of space that it occupies.

Symbol: V_gas

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Gas

Number of Molecules

The Number of Molecules is the total number of particles present in the specific container.

Symbol: N_molecules

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Molecules

Mass of Each Molecule

The Mass of Each Molecule is the ratio of molar mass and Avagadro number.

Symbol: m

Measurement: WeightUnit: g

Note: Value should be greater than 0.

Formulas to find Mass of Each Molecule

Root Mean Square Speed

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.

Symbol: C_RMS

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Root Mean Square Speed

Pressure of Gas

The pressure of Gas is the force that the gas exerts on the walls of its container.

Symbol: P_gas

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure of Gas

Other Formulas to find Volume of Gas

Go Volume of Gas given Average Velocity and Pressure

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

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

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

Go Volume of Gas given Kinetic Energy

V gas = (\frac{2}{3}) \cdot (\frac{KE}{P gas})

Go Volume of Gas given Most Probable Speed and Pressure

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

How to Evaluate Volume of Gas Molecules in 3D Box given Pressure?

Volume of Gas Molecules in 3D Box given Pressure evaluator uses Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas) to evaluate the Volume of Gas, The volume of gas molecules in 3D box given pressure formula is defined as one-third of the ratio of root mean square speed of each molecule and pressure of the gas. Volume of Gas is denoted by V_gas symbol.

How to evaluate Volume of Gas Molecules in 3D Box given Pressure using this online evaluator? To use this online evaluator for Volume of Gas Molecules in 3D Box given Pressure, enter Number of Molecules (N_molecules), Mass of Each Molecule (m), Root Mean Square Speed (C_RMS) & Pressure of Gas (P_gas) and hit the calculate button.

FAQs on Volume of Gas Molecules in 3D Box given Pressure

What is the formula to find Volume of Gas Molecules in 3D Box given Pressure?

The formula of Volume of Gas Molecules in 3D Box given Pressure is expressed as Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas). Here is an example- 1.6E+6 = (1/3)*((100*0.0001*(10)^2)/0.215).

How to calculate Volume of Gas Molecules in 3D Box given Pressure?

With Number of Molecules (N_molecules), Mass of Each Molecule (m), Root Mean Square Speed (C_RMS) & Pressure of Gas (P_gas) we can find Volume of Gas Molecules in 3D Box given Pressure using the formula - Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas).

What are the other ways to Calculate Volume of Gas?

Here are the different ways to Calculate Volume of Gas-

Volume of Gas=(Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)
Volume of Gas=(Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Pressure of Gas)
Volume of Gas=(2/3)*(Kinetic Energy/Pressure of Gas)

Can the Volume of Gas Molecules in 3D Box given Pressure be negative?

Yes, the Volume of Gas Molecules in 3D Box given Pressure, measured in Volume can be negative.

Which unit is used to measure Volume of Gas Molecules in 3D Box given Pressure?

Volume of Gas Molecules in 3D Box given Pressure is usually measured using the Liter[L] for Volume. Cubic Meter[L], Cubic Centimeter[L], Cubic Millimeter[L] are the few other units in which Volume of Gas Molecules in 3D Box given Pressure can be measured.

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Volume of Gas Molecules in 3D Box given Pressure Formula

​GoVolume of Gas given Average Velocity and Pressure Formula

​GoVolume of Gas given Average Velocity and Pressure in 2D Formula

Volume of Gas Molecules in 3D Box given Pressure Example

Volume of Gas Molecules in 3D Box given Pressure Solution

Volume of Gas Molecules in 3D Box given Pressure Formula Elements

Other Formulas to find Volume of Gas

How to Evaluate Volume of Gas Molecules in 3D Box given Pressure?

FAQs on Volume of Gas Molecules in 3D Box given Pressure

Variable Name

GoVolume of Gas given Average Velocity and Pressure Formula

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