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
Mmolar = (3*[R]*Tga)/Vrms^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
Mmolar = (3*[R]*Tga)/Vrms^2 --> (3*[R]*45)/300^2
Evaluating ... ...
Mmolar = 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 00.020 seconds)

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Osmania University (OU), Hyderabad
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15 Basics of Thermodynamics Calculators

Density of Two Liquids
Go Density of Two Liquids = (Mass of Liquid A+Mass of Liquid B)/(Mass of Liquid A/Density of Liquid A+Mass of Liquid B/Density of Liquid B)
Van der Waals Equation
Go Van der Waals Equation = [R]*Temperature/(Molar Volume-Gas Constant b)-Gas Constant a/Molar Volume^2
Average Speed of Gases
Go Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
Molar Mass of Gas given Average Speed of Gas
Go Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Most Probable Speed
Go Most Probable Speed = sqrt((2*[R]*Temperature of Gas A)/Molar Mass)
Newton's Law of Cooling
Go Heat Flux = Heat Transfer Coefficient*(Surface Temperature-Temperature of Characteristic Fluid)
Change in Momentum
Go Change in Momentum = Mass of Body*(Initial Velocity at Point 2-Initial Velocity at Point 1)
Input Power to Turbine or Power given to Turbine
Go Power = Density*Acceleration due to Gravity*Discharge*Head
Degree of Freedom given Equipartition Energy
Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)
Molar Mass of Gas given RMS Velocity of Gas
Go Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
Molar Mass of Gas given Most Probable Speed of Gas
Go Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2
Refrigerator Work
Go Refrigerator Work = Heat from High Temperature Reservoir-Heat from Low Temperature Reservoir
Stefan Boltzmann Law
Go Black-Body Radiant Emittance = [Stefan-BoltZ]*Temperature^(4)
Specific Gas Constant
Go Specific Gas Constant = [R]/Molar Mass
Absolute Humidity
Go Absolute Humidity = Weight/Volume of Gas

Molar Mass of Gas given RMS Velocity of Gas Formula

Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
Mmolar = (3*[R]*Tga)/Vrms^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 Mmolar 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 (Tga) & Root Mean Square Velocity (Vrms) 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 Mmolar = (3*[R]*Tga)/Vrms^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 (Tga) & Root Mean Square Velocity (Vrms). 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
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