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Pressure of Gas Molecules in 3D Box Formula

GoPressure of Gas given Kinetic Energy Formula

GoPressure of Gas given Root Mean Square Speed and Density Formula

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

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

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

Pressure of Gas Molecules in 3D Box Example

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

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

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

14.881 = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1 \cdot {(10)}^{2}}{22.4})

14.881Pa = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1g \cdot {(10m/s)}^{2}}{22.4L})

14.881 = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1 \cdot {(10)}^{2}}{22.4})

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Pressure of Gas Molecules in 3D Box Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.1g \cdot {(10m/s)}^{2}}{22.4L})

Next Step Convert Units

∴

P gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.0001kg \cdot {(10m/s)}^{2}}{0.0224m³})

Next Step Prepare to Evaluate

∴

P gas = (\frac{1}{3}) \cdot (\frac{100 \cdot 0.0001 \cdot {(10)}^{2}}{0.0224})

Next Step Evaluate

∴

P gas = 14.8809523809524Pa

LAST Step Rounding Answer

∴

P gas = 14.881Pa

Pressure of Gas Molecules in 3D Box Formula Elements

Variables

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

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

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

Other Formulas to find Pressure of Gas

Go Pressure of Gas given Kinetic Energy

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

Go Pressure of Gas given Root Mean Square Speed and Density

P gas = (\frac{1}{3}) \cdot (ρ gas \cdot ({(C RMS)}^{2}))

Go Pressure of Gas given Root Mean Square Speed and Density in 1D

P gas = (ρ gas \cdot ({(C RMS)}^{2}))

Go Pressure of Gas given Root Mean Square Speed and Density in 2D

P gas = (\frac{1}{2}) \cdot (ρ gas \cdot ({(C RMS)}^{2}))

Other formulas in Pressure of Gas category

Go Pressure of Gas given Average Velocity and Density

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

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

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

Go Pressure of Gas given Average Velocity and Volume

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

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

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

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

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

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

FAQs on Pressure of Gas Molecules in 3D Box

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

The formula of Pressure of Gas Molecules in 3D Box is expressed as Pressure of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Volume of Gas). Here is an example- 14.88095 = (1/3)*((100*0.0001*(10)^2)/0.0224).

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

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

What are the other ways to Calculate Pressure of Gas?

Here are the different ways to Calculate Pressure of Gas-

Pressure of Gas=(2/3)*(Kinetic Energy/Volume of Gas)
Pressure of Gas=(1/3)*(Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas=(Density of Gas*((Root Mean Square Speed)^2))

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

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

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

Pressure of Gas Molecules in 3D Box 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 Molecules in 3D Box can be measured.

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: Unit

Pressure of Gas Molecules in 3D Box Formula

​GoPressure of Gas given Kinetic Energy Formula

​GoPressure of Gas given Root Mean Square Speed and Density Formula

Pressure of Gas Molecules in 3D Box Example

Pressure of Gas Molecules in 3D Box Solution

Pressure of Gas Molecules in 3D Box Formula Elements

Other Formulas to find Pressure of Gas

Other formulas in Pressure of Gas category

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

FAQs on Pressure of Gas Molecules in 3D Box

Variable Name

GoPressure of Gas given Kinetic Energy Formula

GoPressure of Gas given Root Mean Square Speed and Density Formula