Average Speed of Gases Calculator

✖The temperature of Gas A is the measure of hotness or coldness of gas A.ⓘ Temperature of Gas A [T_ga]			+10% -10%
✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+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 Gases [V_avg]

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Formula

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Average Speed of Gases

Formula

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

Example

147.1356 m/s = \sqrt{\frac{8 \cdot [R] \cdot 45 K}{π \cdot 44.01 g/mol}}

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Average Speed of Gases Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass))
V_avg = sqrt((8*[R]*T_ga)/(pi*M_molar))
This formula uses 2 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

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.
Temperature of Gas A - (Measured in Kelvin) - The temperature of Gas A is the measure of hotness or coldness of gas A.
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 A: 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

V_avg = sqrt((8*[R]*T_ga)/(pi*M_molar)) --> sqrt((8*[R]*45)/(pi*0.04401))

Evaluating ... ...

V_avg = 147.135585667936

STEP 3: Convert Result to Output's Unit

147.135585667936 Meter per Second --> No Conversion Required

FINAL ANSWER

147.135585667936 ≈ 147.1356 Meter per Second <-- Average Speed of Gas

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

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

Average Speed of Gases Formula

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

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 Average Speed of Gases?

Average Speed of Gases calculator uses Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)) to calculate the Average Speed of Gas, Average speed of gases is 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 is denoted by V_avg symbol.

How to calculate Average Speed of Gases using this online calculator? To use this online calculator for Average Speed of Gases, enter Temperature of Gas A (T_ga) & Molar Mass (M_molar) and hit the calculate button. Here is how the Average Speed of Gases calculation can be explained with given input values -> 147.1356 = sqrt((8*[R]*45)/(pi*0.04401)).

FAQ

What is Average Speed of Gases?

Average speed of gases is a collection of gaseous particles at a given temperature.Average velocities of gases are often expressed as root-mean-square averages and is represented as V_avg = sqrt((8*[R]*T_ga)/(pi*M_molar)) or Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). The temperature of Gas A is the measure of hotness or coldness of gas A & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Average Speed of Gases?

Average speed of gases is a collection of gaseous particles at a given temperature.Average velocities of gases are often expressed as root-mean-square averages is calculated using Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). To calculate Average Speed of Gases, you need Temperature of Gas A (T_ga) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Temperature of Gas A & 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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