RMS Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Root Mean Square Velocity = sqrt((3*[R]*Temperature of Gas)/Molar Mass)
Vrms = sqrt((3*[R]*Tg)/Mmolar)
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 Velocity - (Measured in Meter per Second) - The Root Mean Square Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.
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: 45 Kelvin --> 45 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
Vrms = sqrt((3*[R]*Tg)/Mmolar) --> sqrt((3*[R]*45)/0.04401)
Evaluating ... ...
Vrms = 159.701241569226
STEP 3: Convert Result to Output's Unit
159.701241569226 Meter per Second --> No Conversion Required
FINAL ANSWER
159.701241569226 159.7012 Meter per Second <-- Root Mean Square Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
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RMS Speed Formula

Root Mean Square Velocity = sqrt((3*[R]*Temperature of Gas)/Molar Mass)
Vrms = sqrt((3*[R]*Tg)/Mmolar)

What is the use of rms speed?

The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material.

How to Calculate RMS Speed?

RMS Speed calculator uses Root Mean Square Velocity = sqrt((3*[R]*Temperature of Gas)/Molar Mass) to calculate the Root Mean Square Velocity, The RMS speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas. ... The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material. Root Mean Square Velocity is denoted by Vrms symbol.

How to calculate RMS Speed using this online calculator? To use this online calculator for RMS Speed, enter Temperature of Gas (Tg) & Molar Mass (Mmolar) and hit the calculate button. Here is how the RMS Speed calculation can be explained with given input values -> 159.7012 = sqrt((3*[R]*45)/0.04401).

FAQ

What is RMS Speed?
The RMS speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas. ... The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material and is represented as Vrms = sqrt((3*[R]*Tg)/Mmolar) or Root Mean Square Velocity = 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 Speed?
The RMS speed is the measure of the speed of particles in a gas, defined as the square root of the average velocity-squared of the molecules in a gas. ... The root-mean-square speed takes into account both molecular weight and temperature, two factors that directly affect the kinetic energy of a material is calculated using Root Mean Square Velocity = sqrt((3*[R]*Temperature of Gas)/Molar Mass). To calculate RMS Speed, you need Temperature of Gas (Tg) & Molar Mass (Mmolar). 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.
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