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Average Speed of Gases Formula

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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. Check FAQs

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

V_avg - Average Speed of Gas?T_ga - Temperature of Gas A?M_molar - Molar Mass?[R] - Universal gas constant?π - Archimedes' constant?

Average Speed of Gases Example

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Here is how the Average Speed of Gases equation looks like with Values.

Here is how the Average Speed of Gases equation looks like with Units.

Here is how the Average Speed of Gases equation looks like.

147.1356 = \sqrt{\frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 44.01}}

147.1356m/s = \sqrt{\frac{8 \cdot 8.3145 \cdot 45K}{3.1416 \cdot 44.01g/mol}}

147.1356 = \sqrt{\frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 44.01}}

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Average Speed of Gases Solution

Follow our step by step solution on how to calculate Average Speed of Gases?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V avg = \sqrt{\frac{8 \cdot [R] \cdot 45K}{π \cdot 44.01g/mol}}

Next Step Substitute values of Constants

∴

V avg = \sqrt{\frac{8 \cdot 8.3145 \cdot 45K}{3.1416 \cdot 44.01g/mol}}

Next Step Convert Units

∴

V avg = \sqrt{\frac{8 \cdot 8.3145 \cdot 45K}{3.1416 \cdot 0.044kg/mol}}

Next Step Prepare to Evaluate

∴

V avg = \sqrt{\frac{8 \cdot 8.3145 \cdot 45}{3.1416 \cdot 0.044}}

Next Step Evaluate

∴

V avg = 147.135585667936m/s

LAST Step Rounding Answer

∴

V avg = 147.1356m/s

Average Speed of Gases Formula Elements

Variables

Constants

Functions

Average Speed of Gas

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.

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Average Speed of Gas

Temperature of Gas A

The Temperature of Gas A is a measure of the average kinetic energy of the gas particles, influencing their behavior and interactions in thermodynamic processes.

Symbol: T_ga

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas A

Molar Mass

Molar Mass is the mass of a given substance divided by the amount of substance.

Symbol: M_molar

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Molar Mass

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Factors of Thermodynamics category

Go Absolute Humidity

AH = \frac{W}{V}

Go Degree of Freedom given Equipartition Energy

F = 2 \cdot \frac{K}{[BoltZ] \cdot T gb}

Go Molar Mass of Gas given Average Speed of Gas

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

Go Molar Mass of Gas given Most Probable Speed of Gas

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

How to Evaluate Average Speed of Gases?

Average Speed of Gases evaluator uses Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)) to evaluate the Average Speed of Gas, Average Speed of Gases formula is defined as a representation of the typical velocity of gas molecules in a system, influenced by temperature, molar mass, and the universal gas constant, reflecting the kinetic energy of the gas particles. Average Speed of Gas is denoted by V_avg symbol.

How to evaluate Average Speed of Gases using this online evaluator? To use this online evaluator for Average Speed of Gases, enter Temperature of Gas A (T_ga) & Molar Mass (M_molar) and hit the calculate button.

FAQs on Average Speed of Gases

What is the formula to find Average Speed of Gases?

The formula of Average Speed of Gases is expressed as Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). Here is an example- 147.1356 = sqrt((8*[R]*45)/(pi*0.04401)).

How to calculate Average Speed of Gases?

With Temperature of Gas A (T_ga) & Molar Mass (M_molar) we can find Average Speed of Gases using the formula - Average Speed of Gas = sqrt((8*[R]*Temperature of Gas A)/(pi*Molar Mass)). This formula also uses Universal gas constant, Archimedes' constant and Square Root (sqrt) function(s).

Can the Average Speed of Gases be negative?

Yes, the Average Speed of Gases, measured in Speed can be negative.

Which unit is used to measure Average Speed of Gases?

Average Speed of Gases is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Average Speed of Gases can be measured.

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Average Speed of Gases Formula

Average Speed of Gases Example

Average Speed of Gases Solution

Average Speed of Gases Formula Elements

Other formulas in Factors of Thermodynamics category

How to Evaluate Average Speed of Gases?

FAQs on Average Speed of Gases

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