FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Number of Gas Molecules in 3D Box given Pressure Formula

GoNumber of Gas Molecules in 2D Box given Pressure Formula

Fx Copy

LaTeX Copy

Number of Molecules given P is the total number of particles present in the specific container. Check FAQs

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

N_P - Number of Molecules given P?P_gas - Pressure of Gas?V - Volume of Gas?m - Mass per Molecule?C_RMS - Root Mean Square Speed?

Number of Gas Molecules in 3D Box given Pressure Example

With values

With units

Only example

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

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

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

0.7224 = \frac{3 \cdot 0.215 \cdot 22.4}{0.2 \cdot {(10)}^{2}}

0.7224 = \frac{3 \cdot 0.215Pa \cdot 22.4L}{0.2g \cdot {(10m/s)}^{2}}

0.7224 = \frac{3 \cdot 0.215 \cdot 22.4}{0.2 \cdot {(10)}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

PIB » fx Number of Gas Molecules in 3D Box given Pressure

Number of Gas Molecules in 3D Box given Pressure Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

N P = \frac{3 \cdot 0.215Pa \cdot 22.4L}{0.2g \cdot {(10m/s)}^{2}}

Next Step Convert Units

∴

N P = \frac{3 \cdot 0.215Pa \cdot 0.0224m³}{0.0002kg \cdot {(10m/s)}^{2}}

Next Step Prepare to Evaluate

∴

N P = \frac{3 \cdot 0.215 \cdot 0.0224}{0.0002 \cdot {(10)}^{2}}

LAST Step Evaluate

∴

N P = 0.7224

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

Variables

Number of Molecules given P

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

Symbol: N_P

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Number of Molecules given P

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

Volume of Gas

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

Symbol: V

Measurement: VolumeUnit: L

Note: Value can be positive or negative.

Formulas to find Volume of Gas

Mass per Molecule

The Mass per Molecule is defined as the molar mass of the molecule divided by the Avogadro number.

Symbol: m

Measurement: WeightUnit: g

Note: Value can be positive or negative.

Formulas to find Mass per 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

Other Formulas to find Number of Molecules given P

Go Number of Gas Molecules in 2D Box given Pressure

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

Other formulas in PIB category

Go Time between Collisions of Particle and Walls

t col = \frac{2 \cdot L}{u}

Go Speed of Particle in 3D Box

u 3D = \frac{2 \cdot L}{t}

Go Length of Rectangular Box given Time of Collision

L T_box = \frac{t \cdot u}{2}

Go Force by Gas Molecule on Wall of Box

F wall = \frac{m \cdot {(u)}^{2}}{L}

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

Number of Gas Molecules in 3D Box given Pressure evaluator uses Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2) to evaluate the Number of Molecules given P, The number of gas molecules in 3D box given pressure formula is defined as three times pressure and volume of gas divided by the mass and root mean square of each and every molecule. Number of Molecules given P is denoted by N_P symbol.

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

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

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

The formula of Number of Gas Molecules in 3D Box given Pressure is expressed as Number of Molecules given P = (3*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2). Here is an example- 0.7224 = (3*0.215*0.0224)/(0.0002*(10)^2).

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

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

What are the other ways to Calculate Number of Molecules given P?

Here are the different ways to Calculate Number of Molecules given P-

Number of Molecules given P=(2*Pressure of Gas*Volume of Gas)/(Mass per Molecule*(Root Mean Square Speed)^2)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Number of Gas Molecules in 3D Box given Pressure Formula

​GoNumber of Gas Molecules in 2D Box given Pressure Formula

Number of Gas Molecules in 3D Box given Pressure Example

Number of Gas Molecules in 3D Box given Pressure Solution

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

Other Formulas to find Number of Molecules given P

Other formulas in PIB category

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

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

Variable Name

GoNumber of Gas Molecules in 2D Box given Pressure Formula