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RMS Velocity given Pressure and Density Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%

✖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.ⓘ RMS Velocity given Pressure and Density [C_RMS]

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RMS Velocity given Pressure and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)
C_RMS = sqrt((3*P_gas)/ρ_gas)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Root Mean Square Speed - (Measured in Meter per Second) - 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.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_RMS = sqrt((3*P_gas)/ρ_gas) --> sqrt((3*0.215)/0.00128)

Evaluating ... ...

C_RMS = 22.447856245085

STEP 3: Convert Result to Output's Unit

22.447856245085 Meter per Second --> No Conversion Required

FINAL ANSWER

22.447856245085 ≈ 22.44786 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.023 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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< RMS Velocity Calculators

RMS Velocity given Pressure and Density

LaTeX Go Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)

RMS Velocity given Pressure and Density in 1D

LaTeX Go Root Mean Square Speed = sqrt((Pressure of Gas)/Density of Gas)

RMS Velocity given Most Probable Velocity in 2D

LaTeX Go Root Mean Square Speed = (Most Probable Velocity*sqrt(2))

RMS Velocity given Most Probable Velocity

LaTeX Go Root Mean Square Speed = (Most Probable Velocity/0.8166)

RMS Velocity given Pressure and Density Formula

LaTeX Go

Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas)
C_RMS = sqrt((3*P_gas)/ρ_gas)

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate RMS Velocity given Pressure and Density?

RMS Velocity given Pressure and Density calculator uses Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas) to calculate the Root Mean Square Speed, The RMS Velocity given Pressure and Density formula is defined as the direct proportion of root mean square speed with the square root of pressure 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 calculate RMS Velocity given Pressure and Density using this online calculator? To use this online calculator for RMS Velocity given Pressure and Density, enter Pressure of Gas (P_gas) & Density of Gas (ρ_gas) and hit the calculate button. Here is how the RMS Velocity given Pressure and Density calculation can be explained with given input values -> 22.44786 = sqrt((3*0.215)/0.00128).

FAQ

What is RMS Velocity given Pressure and Density?

The RMS Velocity given Pressure and Density formula is defined as the direct proportion of root mean square speed with the square root of pressure and inverse proportion of root mean square with the square root of molar mass and is represented as C_RMS = sqrt((3*P_gas)/ρ_gas) or Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas). The pressure of Gas is the force that the gas exerts on the walls of its container & The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

How to calculate RMS Velocity given Pressure and Density?

The RMS Velocity given Pressure and Density formula is defined as the direct proportion of root mean square speed with the square root of pressure and inverse proportion of root mean square with the square root of molar mass is calculated using Root Mean Square Speed = sqrt((3*Pressure of Gas)/Density of Gas). To calculate RMS Velocity given Pressure and Density, you need Pressure of Gas (P_gas) & Density of Gas (ρ_gas). With our tool, you need to enter the respective value for Pressure of Gas & Density of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Root Mean Square Speed?

In this formula, Root Mean Square Speed uses Pressure of Gas & Density of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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