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RMS Velocity given Pressure and Volume of Gas Formula

GoRMS Velocity given Most Probable Velocity Formula

GoRMS Velocity given Most Probable Velocity in 2D 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 = \sqrt{\frac{3 \cdot P gas \cdot V}{M molar}}

C_RMS - Root Mean Square Speed?P_gas - Pressure of Gas?V - Volume of Gas?M_molar - Molar Mass?

RMS Velocity given Pressure and Volume of Gas Example

With values

With units

Only example

Here is how the RMS Velocity given Pressure and Volume of Gas equation looks like with Values.

Here is how the RMS Velocity given Pressure and Volume of Gas equation looks like with Units.

Here is how the RMS Velocity given Pressure and Volume of Gas equation looks like.

0.6053 = \sqrt{\frac{3 \cdot 0.215 \cdot 25}{44.01}}

0.6053m/s = \sqrt{\frac{3 \cdot 0.215Pa \cdot 25L}{44.01g/mol}}

0.6053 = \sqrt{\frac{3 \cdot 0.215 \cdot 25}{44.01}}

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RMS Velocity given Pressure and Volume of Gas Solution

Follow our step by step solution on how to calculate RMS Velocity given Pressure and Volume of Gas?

FIRST Step Consider the formula

C RMS = \sqrt{\frac{3 \cdot P gas \cdot V}{M molar}}

Next Step Substitute values of Variables

∴

C RMS = \sqrt{\frac{3 \cdot 0.215Pa \cdot 25L}{44.01g/mol}}

Next Step Convert Units

∴

C RMS = \sqrt{\frac{3 \cdot 0.215Pa \cdot 0.025m³}{0.044kg/mol}}

Next Step Prepare to Evaluate

∴

C RMS = \sqrt{\frac{3 \cdot 0.215 \cdot 0.025}{0.044}}

Next Step Evaluate

∴

C RMS = 0.605304882983217m/s

LAST Step Rounding Answer

∴

C RMS = 0.6053m/s

RMS Velocity given Pressure and Volume of Gas Formula Elements

Variables

Functions

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

Molar Mass

Molar Mass is the mass of a given substance divided by the amount of substance.

Symbol: M_molar

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Root Mean Square Speed

Go RMS Velocity given Most Probable Velocity

C RMS = (\frac{C mp}{0.8166})

Go RMS Velocity given Most Probable Velocity in 2D

C RMS = (C mp \cdot \sqrt{2})

Go RMS Velocity given Pressure and Density

C RMS = \sqrt{\frac{3 \cdot P gas}{ρ gas}}

Go RMS Velocity given Pressure and Density in 1D

C RMS = \sqrt{\frac{P gas}{ρ gas}}

How to Evaluate RMS Velocity given Pressure and Volume of Gas?

RMS Velocity given Pressure and Volume of Gas evaluator uses Root Mean Square Speed = sqrt((3*Pressure of Gas*Volume of Gas)/Molar Mass) to evaluate the Root Mean Square Speed, The RMS Velocity given Pressure and Volume of Gas formula is defined as the direct proportion of root mean square speed with the square root of pressure and volume and inverse proportion of root mean square with the square root of molar mass. Root Mean Square Speed is denoted by C_RMS symbol.

How to evaluate RMS Velocity given Pressure and Volume of Gas using this online evaluator? To use this online evaluator for RMS Velocity given Pressure and Volume of Gas, enter Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) and hit the calculate button.

FAQs on RMS Velocity given Pressure and Volume of Gas

What is the formula to find RMS Velocity given Pressure and Volume of Gas?

The formula of RMS Velocity given Pressure and Volume of Gas is expressed as Root Mean Square Speed = sqrt((3*Pressure of Gas*Volume of Gas)/Molar Mass). Here is an example- 0.605305 = sqrt((3*0.215*0.025)/0.04401).

How to calculate RMS Velocity given Pressure and Volume of Gas?

With Pressure of Gas (P_gas), Volume of Gas (V) & Molar Mass (M_molar) we can find RMS Velocity given Pressure and Volume of Gas using the formula - Root Mean Square Speed = sqrt((3*Pressure of Gas*Volume of Gas)/Molar Mass). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Root Mean Square Speed?

Here are the different ways to Calculate Root Mean Square Speed-

Root Mean Square Speed=(Most Probable Velocity/0.8166)
Root Mean Square Speed=(Most Probable Velocity*sqrt(2))
Root Mean Square Speed=sqrt((3*Pressure of Gas)/Density of Gas)

Can the RMS Velocity given Pressure and Volume of Gas be negative?

Yes, the RMS Velocity given Pressure and Volume of Gas, measured in Speed can be negative.

Which unit is used to measure RMS Velocity given Pressure and Volume of Gas?

RMS Velocity 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 RMS Velocity given Pressure and Volume of Gas can be measured.

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: Unit

RMS Velocity given Pressure and Volume of Gas Formula

​GoRMS Velocity given Most Probable Velocity Formula

​GoRMS Velocity given Most Probable Velocity in 2D Formula

RMS Velocity given Pressure and Volume of Gas Example

RMS Velocity given Pressure and Volume of Gas Solution

RMS Velocity given Pressure and Volume of Gas Formula Elements

Other Formulas to find Root Mean Square Speed

How to Evaluate RMS Velocity given Pressure and Volume of Gas?

FAQs on RMS Velocity given Pressure and Volume of Gas

Variable Name

GoRMS Velocity given Most Probable Velocity Formula

GoRMS Velocity given Most Probable Velocity in 2D Formula