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Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Formula

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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. Check FAQs

C RMS = \frac{3 \cdot P gas \cdot V}{N molecules \cdot m}

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

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Example

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Here is how the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas equation looks like with Values.

Here is how the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas equation looks like with Units.

Here is how the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas equation looks like.

1.4448 = \frac{3 \cdot 0.215 \cdot 22.4}{100 \cdot 0.1}

1.4448m/s = \frac{3 \cdot 0.215Pa \cdot 22.4L}{100 \cdot 0.1g}

1.4448 = \frac{3 \cdot 0.215 \cdot 22.4}{100 \cdot 0.1}

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Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Solution

Follow our step by step solution on how to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

FIRST Step Consider the formula

C RMS = \frac{3 \cdot P gas \cdot V}{N molecules \cdot m}

Next Step Substitute values of Variables

∴

C RMS = \frac{3 \cdot 0.215Pa \cdot 22.4L}{100 \cdot 0.1g}

Next Step Convert Units

∴

C RMS = \frac{3 \cdot 0.215Pa \cdot 0.0224m³}{100 \cdot 0.0001kg}

Next Step Prepare to Evaluate

∴

C RMS = \frac{3 \cdot 0.215 \cdot 0.0224}{100 \cdot 0.0001}

LAST Step Evaluate

∴

C RMS = 1.4448m/s

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Formula Elements

Variables

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

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

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

Other formulas in Mean Square Speed 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 Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 2D

C RMS_2D = \frac{2 \cdot P gas \cdot V}{N molecules \cdot m}

How to Evaluate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas evaluator uses Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule) to evaluate the Root Mean Square Speed, The Mean square speed of gas molecule given pressure and volume of gas formula is defined as the square root of the ratio of three times the pressure and volume of the gas to the mass of each molecule of gas. Root Mean Square Speed is denoted by C_RMS symbol.

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

FAQs on Mean Square Speed of Gas Molecule given Pressure and Volume of Gas

What is the formula to find Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

The formula of Mean Square Speed of Gas Molecule given Pressure and Volume of Gas is expressed as Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule). Here is an example- 1.4448 = (3*0.215*0.0224)/(100*0.0001).

How to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

With Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Mass of Each Molecule (m) we can find Mean Square Speed of Gas Molecule given Pressure and Volume of Gas using the formula - Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule).

Can the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas be negative?

Yes, the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas, measured in Speed can be negative.

Which unit is used to measure Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Square Speed of Gas Molecule given Pressure and Volume of Gas can be measured.

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Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Formula

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Example

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Solution

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Formula Elements

Other formulas in Mean Square Speed of Gas category

How to Evaluate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

FAQs on Mean Square Speed of Gas Molecule given Pressure and Volume of Gas

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