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Mass of Each Gas Molecule in 3D Box given Pressure Formula

GoMass of Gas Molecule in 1D given Pressure Formula

GoMass of Each Gas Molecule in 2D Box given Pressure Formula

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Mass per Molecule given P is defined as the molar mass of the molecule divided by the Avogadro number. Check FAQs

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

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

Mass of Each Gas Molecule in 3D Box given Pressure Example

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Here is how the Mass of Each Gas Molecule in 3D Box given Pressure equation looks like with Values.

Here is how the Mass of Each Gas Molecule in 3D Box given Pressure equation looks like with Units.

Here is how the Mass of Each Gas Molecule in 3D Box given Pressure equation looks like.

0.0014 = \frac{3 \cdot 0.215 \cdot 22.4}{100 \cdot {(10)}^{2}}

0.0014g = \frac{3 \cdot 0.215Pa \cdot 22.4L}{100 \cdot {(10m/s)}^{2}}

0.0014 = \frac{3 \cdot 0.215 \cdot 22.4}{100 \cdot {(10)}^{2}}

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Mass of Each Gas Molecule in 3D Box given Pressure Solution

Follow our step by step solution on how to calculate Mass of Each Gas Molecule in 3D Box given Pressure?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m P = \frac{3 \cdot 0.215Pa \cdot 22.4L}{100 \cdot {(10m/s)}^{2}}

Next Step Convert Units

∴

m P = \frac{3 \cdot 0.215Pa \cdot 0.0224m³}{100 \cdot {(10m/s)}^{2}}

Next Step Prepare to Evaluate

∴

m P = \frac{3 \cdot 0.215 \cdot 0.0224}{100 \cdot {(10)}^{2}}

Next Step Evaluate

∴

m P = 1.4448E-06kg

Next Step Convert to Output's Unit

∴

m P = 0.0014448g

LAST Step Rounding Answer

∴

m P = 0.0014g

Mass of Each Gas Molecule in 3D Box given Pressure Formula Elements

Variables

Mass per Molecule given P

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

Symbol: m_P

Measurement: WeightUnit: g

Note: Value can be positive or negative.

Formulas to find Mass per Molecule 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

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

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 Mass per Molecule given P

Go Mass of Gas Molecule in 1D given Pressure

m P = \frac{P gas \cdot V box}{{(u)}^{2}}

Go Mass of Each Gas Molecule in 2D Box given Pressure

m P = \frac{2 \cdot P gas \cdot V}{N molecules \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 Mass of Each Gas Molecule in 3D Box given Pressure?

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

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

FAQs on Mass of Each Gas Molecule in 3D Box given Pressure

What is the formula to find Mass of Each Gas Molecule in 3D Box given Pressure?

The formula of Mass of Each Gas Molecule in 3D Box given Pressure is expressed as Mass per Molecule given P = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*(Root Mean Square Speed)^2). Here is an example- 1.4E-6 = (3*0.215*0.0224)/(100*(10)^2).

How to calculate Mass of Each Gas Molecule in 3D Box given Pressure?

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

What are the other ways to Calculate Mass per Molecule given P?

Here are the different ways to Calculate Mass per Molecule given P-

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

Can the Mass of Each Gas Molecule in 3D Box given Pressure be negative?

Yes, the Mass of Each Gas Molecule in 3D Box given Pressure, measured in Weight can be negative.

Which unit is used to measure Mass of Each Gas Molecule in 3D Box given Pressure?

Mass of Each Gas Molecule in 3D Box given Pressure is usually measured using the Gram[g] for Weight. Kilogram[g], Milligram[g], Ton (Metric)[g] are the few other units in which Mass of Each Gas Molecule in 3D Box given Pressure can be measured.

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Mass of Each Gas Molecule in 3D Box given Pressure Formula

​GoMass of Gas Molecule in 1D given Pressure Formula

​GoMass of Each Gas Molecule in 2D Box given Pressure Formula

Mass of Each Gas Molecule in 3D Box given Pressure Example

Mass of Each Gas Molecule in 3D Box given Pressure Solution

Mass of Each Gas Molecule in 3D Box given Pressure Formula Elements

Other Formulas to find Mass per Molecule given P

Other formulas in PIB category

How to Evaluate Mass of Each Gas Molecule in 3D Box given Pressure?

FAQs on Mass of Each Gas Molecule in 3D Box given Pressure

Variable Name

GoMass of Gas Molecule in 1D given Pressure Formula

GoMass of Each Gas Molecule in 2D Box given Pressure Formula