Molar Mass of Gas given Average Speed 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%
✖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.ⓘ Average Speed of Gas [V_avg]			+10% -10%

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

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Formula

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Molar Mass of Gas given Average Speed of Gas

Formula

M molar = \frac{8 \cdot [R] \cdot T ga}{π \cdot {V avg}^{2}}

Example

3.811069 g/mol = \frac{8 \cdot [R] \cdot 45 K}{π \cdot {500 m/s}^{2}}

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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)
M_molar = (8*[R]*T_ga)/(pi*V_avg^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

M_molar = (8*[R]*T_ga)/(pi*V_avg^2) --> (8*[R]*45)/(pi*500^2)

Evaluating ... ...

M_molar = 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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Osmania University (OU), Hyderabad

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< Factors of Thermodynamics Calculators

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)

Degree of Freedom given Equipartition Energy

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

Absolute Humidity

Go Absolute Humidity = Weight/Volume of Gas

Molar Mass of Gas given Average Speed of Gas Formula

Molar Mass = (8*[R]*Temperature of Gas A)/(pi*Average Speed of Gas^2)
M_molar = (8*[R]*T_ga)/(pi*V_avg^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 M_molar 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 (T_ga) & Average Speed of Gas (V_avg) 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 M_molar = (8*[R]*T_ga)/(pi*V_avg^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 (T_ga) & Average Speed of Gas (V_avg). 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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