Molar Mass of Gas given Average Speed of Gas Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
Mmolar = (8*[R]*Tga)/(pi*Vavg^2)
This formula uses 2 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Average Speed of Gas - (Measured in Meter per Second) - Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.
STEP 1: Convert Input(s) to Base Unit
Temperature of Gas A: 45 Kelvin --> 45 Kelvin No Conversion Required
Average Speed of Gas: 500 Meter per Second --> 500 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mmolar = (8*[R]*Tga)/(pi*Vavg^2) --> (8*[R]*45)/(pi*500^2)
Evaluating ... ...
Mmolar = 0.00381106893551579
STEP 3: Convert Result to Output's Unit
0.00381106893551579 Kilogram Per Mole -->3.81106893551579 Gram Per Mole (Check conversion ​here)
FINAL ANSWER
3.81106893551579 3.811069 Gram Per Mole <-- Molar Mass
(Calculation completed in 00.004 seconds)

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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 Average Speed of Gas Formula

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

What is average speed?

The Maxwell-Boltzmann Distribution describes the average speeds of a collection gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.

How to Calculate Molar Mass of Gas given Average Speed of Gas?

Molar Mass of Gas given Average Speed of Gas calculator uses Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2) to calculate the Molar Mass, The Molar Mass of Gas given Average Speed 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 Average Speed of Gas using this online calculator? To use this online calculator for Molar Mass of Gas given Average Speed of Gas, enter Temperature of Gas A (Tga) & Average Speed of Gas (Vavg) and hit the calculate button. Here is how the Molar Mass of Gas given Average Speed of Gas calculation can be explained with given input values -> 3811.069 = (8*[R]*45)/(pi*500^2).

FAQ

What is Molar Mass of Gas given Average Speed of Gas?
The Molar Mass of Gas given Average Speed 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 = (8*[R]*Tga)/(pi*Vavg^2) or Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2). The temperature of Gas A is the measure of hotness or coldness of gas A & Average Speed of Gas is the collective speed of a collection of gaseous particles at a given temperature. Average velocities of gases are often expressed as root-mean-square averages.
How to calculate Molar Mass of Gas given Average Speed of Gas?
The Molar Mass of Gas given Average Speed 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 = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2). To calculate Molar Mass of Gas given Average Speed of Gas, you need Temperature of Gas A (Tga) & Average Speed of Gas (Vavg). With our tool, you need to enter the respective value for Temperature of Gas A & Average Speed 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 Molar Mass?
In this formula, Molar Mass uses Temperature of Gas A & Average Speed of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Molar Mass = (2*[R]*Temperature of Gas A)/Most Probable Speed^2
  • Molar Mass = (3*[R]*Temperature of Gas A)/Root Mean Square Velocity^2
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