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Average Velocity of Gas given Temperature Formula

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The Average Velocity of Gas is the mean of all the velocities of the gas molecule. Check FAQs

C av = \sqrt{\frac{8 \cdot [R] \cdot T g}{π \cdot M molar}}

C_av - Average Velocity of Gas?T_g - Temperature of Gas?M_molar - Molar Mass?[R] - Universal gas constant?π - Archimedes' constant?

Average Velocity of Gas given Temperature Example

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Here is how the Average Velocity of Gas given Temperature equation looks like with Values.

Here is how the Average Velocity of Gas given Temperature equation looks like with Units.

Here is how the Average Velocity of Gas given Temperature equation looks like.

120.1357 = \sqrt{\frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot 44.01}}

120.1357m/s = \sqrt{\frac{8 \cdot 8.3145 \cdot 30K}{3.1416 \cdot 44.01g/mol}}

120.1357 = \sqrt{\frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot 44.01}}

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Average Velocity of Gas given Temperature Solution

Follow our step by step solution on how to calculate Average Velocity of Gas given Temperature?

FIRST Step Consider the formula

C av = \sqrt{\frac{8 \cdot [R] \cdot T g}{π \cdot M molar}}

Next Step Substitute values of Variables

∴

C av = \sqrt{\frac{8 \cdot [R] \cdot 30K}{π \cdot 44.01g/mol}}

Next Step Substitute values of Constants

∴

C av = \sqrt{\frac{8 \cdot 8.3145 \cdot 30K}{3.1416 \cdot 44.01g/mol}}

Next Step Convert Units

∴

C av = \sqrt{\frac{8 \cdot 8.3145 \cdot 30K}{3.1416 \cdot 0.044kg/mol}}

Next Step Prepare to Evaluate

∴

C av = \sqrt{\frac{8 \cdot 8.3145 \cdot 30}{3.1416 \cdot 0.044}}

Next Step Evaluate

∴

C av = 120.135702630668m/s

LAST Step Rounding Answer

∴

C av = 120.1357m/s

Average Velocity of Gas given Temperature Formula Elements

Variables

Constants

Functions

Average Velocity of Gas

The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

Symbol: C_av

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Gas

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

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 Average Velocity of Gas category

Go Acentric Factor

ω vp = - \log 10 (Pr saturated) - 1

Go Acentric Factor given Actual and Critical Saturation Vapor Pressure

ω vp = - \log 10 (\frac{P saturated}{Pc saturation}) - 1

Go Average Velocity of Gas given Pressure and Density

v avg_P_D = \sqrt{\frac{8 \cdot P gas}{π \cdot ρ gas}}

Go Average Velocity of Gas given Pressure and Density in 2D

v avg_P_D = \sqrt{\frac{π \cdot P gas}{2 \cdot ρ gas}}

How to Evaluate Average Velocity of Gas given Temperature?

Average Velocity of Gas given Temperature evaluator uses Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass)) to evaluate the Average Velocity of Gas, The Average velocity of gas given temperature formula is defined as the ratio of the square root of temperature and molar mass of the respective gas. Average Velocity of Gas is denoted by C_av symbol.

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

FAQs on Average Velocity of Gas given Temperature

What is the formula to find Average Velocity of Gas given Temperature?

The formula of Average Velocity of Gas given Temperature is expressed as Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass)). Here is an example- 120.1357 = sqrt((8*[R]*30)/(pi*0.04401)).

How to calculate Average Velocity of Gas given Temperature?

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

Can the Average Velocity of Gas given Temperature be negative?

Yes, the Average Velocity of Gas given Temperature, measured in Speed can be negative.

Which unit is used to measure Average Velocity of Gas given Temperature?

Average Velocity of Gas given Temperature 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 Velocity of Gas given Temperature can be measured.

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