Molar Mass of Gas given RMS Velocity of Gas Calculator

✖The temperature of Gas A is the measure of hotness or coldness of gas A.ⓘ Temperature of Gas A [T_ga]			+10% -10%
✖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.ⓘ Root Mean Square Velocity [V_rms]			+10% -10%

✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass of Gas given RMS Velocity of Gas [M_molar]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Thermodynamics Formula PDF PDF Image

Molar Mass of Gas given RMS Velocity of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
M_molar = (3*[R]*T_ga)/V_rms^2
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas A: 45 Kelvin --> 45 Kelvin No Conversion Required
Root Mean Square Velocity: 300 Meter per Second --> 300 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_molar = (3*[R]*T_ga)/V_rms^2 --> (3*[R]*45)/300^2

Evaluating ... ...

M_molar = 0.0124716939272299

STEP 3: Convert Result to Output's Unit

0.0124716939272299 Kilogram Per Mole -->12.4716939272299 Gram Per Mole (Check conversion here)

FINAL ANSWER

12.4716939272299 ≈ 12.47169 Gram Per Mole <-- Molar Mass

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Thermodynamics » Factors of Thermodynamics » Molar Mass of Gas given RMS Velocity of Gas

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Factors of Thermodynamics Calculators

Average Speed of Gases

LaTeX Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))

Molar Mass of Gas given Average Speed of Gas

LaTeX Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)

Degree of Freedom given Equipartition Energy

LaTeX Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)

Absolute Humidity

LaTeX Go Absolute Humidity = Weight/Volume of Gas

Molar Mass of Gas given RMS Velocity of Gas Formula

LaTeX Go

Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
M_molar = (3*[R]*T_ga)/V_rms^2

Define RMS velocity?

By squaring the velocities and taking the square root, we overcome the “directional” component of velocity and simultaneously acquire the particles’ average velocity. Since the value excludes the particles’ direction, we now refer to the value as the average speed. The root-mean-square 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.

How to Calculate Molar Mass of Gas given RMS Velocity of Gas?

Molar Mass of Gas given RMS Velocity of Gas calculator uses Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2 to calculate the Molar Mass, The Molar Mass of Gas given RMS Velocity of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation. Molar Mass is denoted by M_molar symbol.

How to calculate Molar Mass of Gas given RMS Velocity of Gas using this online calculator? To use this online calculator for Molar Mass of Gas given RMS Velocity of Gas, enter Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms) and hit the calculate button. Here is how the Molar Mass of Gas given RMS Velocity of Gas calculation can be explained with given input values -> 12471.69 = (3*[R]*45)/300^2.

FAQ

What is Molar Mass of Gas given RMS Velocity of Gas?

The Molar Mass of Gas given RMS Velocity of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation and is represented as M_molar = (3*[R]*T_ga)/V_rms^2 or Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2. The temperature of Gas A is the measure of hotness or coldness of gas A & 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.

How to calculate Molar Mass of Gas given RMS Velocity of Gas?

The Molar Mass of Gas given RMS Velocity of Gas formula is defined as the mass of one particle of that gas multiplied by Avogadro's number (6.02 x 1023). Knowing the molar mass of an element or compound can help us stoichiometrically balance a reaction equation is calculated using Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2. To calculate Molar Mass of Gas given RMS Velocity of Gas, you need Temperature of Gas A (T_ga) & Root Mean Square Velocity (V_rms). With our tool, you need to enter the respective value for Temperature of Gas A & Root Mean Square Velocity 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 Molar Mass?

In this formula, Molar Mass uses Temperature of Gas A & Root Mean Square Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2

Home

FREE PDFs

🔍 Search