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RMS Velocity given Temperature and Molar Mass Calculator

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✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+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 Temperature and Molar Mass [C_RMS]

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RMS Velocity given Temperature and Molar Mass Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass)
C_RMS = sqrt((3*[R]*T_g)/M_molar)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_RMS = sqrt((3*[R]*T_g)/M_molar) --> sqrt((3*[R]*30)/0.04401)

Evaluating ... ...

C_RMS = 130.395517711186

STEP 3: Convert Result to Output's Unit

130.395517711186 Meter per Second --> No Conversion Required

FINAL ANSWER

130.395517711186 ≈ 130.3955 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

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

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National Institute of Information Technology (NIIT), Neemrana

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RMS Velocity given Pressure and Density in 1D

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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 Temperature and Molar Mass Formula

LaTeX Go

Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass)
C_RMS = sqrt((3*[R]*T_g)/M_molar)

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 Temperature and Molar Mass?

RMS Velocity given Temperature and Molar Mass calculator uses Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass) to calculate the Root Mean Square Speed, The RMS Velocity given Temperature and Molar Mass formula is defined as ratio of square root of temperature of gas ad the molar mass. Root Mean Square Speed is denoted by C_RMS symbol.

How to calculate RMS Velocity given Temperature and Molar Mass using this online calculator? To use this online calculator for RMS Velocity given Temperature and Molar Mass, enter Temperature of Gas (T_g) & Molar Mass (M_molar) and hit the calculate button. Here is how the RMS Velocity given Temperature and Molar Mass calculation can be explained with given input values -> 130.3955 = sqrt((3*[R]*30)/0.04401).

FAQ

What is RMS Velocity given Temperature and Molar Mass?

The RMS Velocity given Temperature and Molar Mass formula is defined as ratio of square root of temperature of gas ad the molar mass and is represented as C_RMS = sqrt((3*[R]*T_g)/M_molar) or Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass). The temperature of Gas is the measure of hotness or coldness of a gas & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate RMS Velocity given Temperature and Molar Mass?

The RMS Velocity given Temperature and Molar Mass formula is defined as ratio of square root of temperature of gas ad the molar mass is calculated using Root Mean Square Speed = sqrt((3*[R]*Temperature of Gas)/Molar Mass). To calculate RMS Velocity given Temperature and Molar Mass, you need Temperature of Gas (T_g) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Temperature of Gas & Molar Mass 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 Temperature of Gas & Molar Mass. 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((3*Pressure of Gas)/Density of Gas)

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