Average Velocity of Gas given Temperature Calculator

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

✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas given Temperature [C_av]

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Formula

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Average Velocity of Gas given Temperature

Formula

`"C"_{"av"} = sqrt((8*"[R]"*"T"_{"g"})/(pi*"M"_{"molar"}))`

Example

`"120.1357m/s"=sqrt((8*"[R]"*"30K")/(pi*"44.01g/mol"))`

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Average Velocity of Gas given Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))
C_av = sqrt((8*[R]*T_g)/(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 Velocity of Gas - (Measured in Meter per Second) - The Average Velocity of Gas is the mean of all the velocities of the gas molecule.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
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: 30 Kelvin --> 30 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

C_av = sqrt((8*[R]*T_g)/(pi*M_molar)) --> sqrt((8*[R]*30)/(pi*0.04401))

Evaluating ... ...

C_av = 120.135702630668

STEP 3: Convert Result to Output's Unit

120.135702630668 Meter per Second --> No Conversion Required

FINAL ANSWER

120.135702630668 ≈ 120.1357 Meter per Second <-- Average Velocity of Gas

(Calculation completed in 00.004 seconds)

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Created by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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National Institute of Information Technology (NIIT), Neemrana

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< 9 Average Velocity of Gas Calculators

Terminal Velocity given Angular Velocity

Go Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)

Average Velocity of Gas given Pressure and Volume in 2D

Go Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))

Average Velocity of Gas given Pressure and Volume

Go Average Velocity given P and V = sqrt((8*Pressure of Gas*Volume of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Temperature in 2D

Go Average Velocity given Temperature = sqrt((pi*[R]*Temperature of Gas)/(2*Molar Mass))

Average Velocity of Gas given Temperature

Go Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Pressure and Density in 2D

Go Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas))

Average Velocity of Gas given Pressure and Density

Go Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))

Average Velocity of Gas given Root Mean Square Speed in 2D

Go Average Velocity given RMS = (0.8862*Root Mean Square of Speed)

Average Velocity of Gas given Root Mean Square Speed

Go Average Velocity given RMS = (0.9213*Root Mean Square of Speed)

< 11 Average velocity of gas and Acentric factor Calculators

Terminal Velocity given Angular Velocity

Go Terminal Velocity given Angular Velocity = (Mass of Particle*Radius of molecule*(Angular Velocity)^2)/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)

Average Velocity of Gas given Pressure and Volume in 2D

Go Average Velocity given P and V = sqrt((pi*Pressure of Gas*Volume of Gas)/(2*Molar Mass))

Average Velocity of Gas given Pressure and Volume

Go Average Velocity given P and V = sqrt((8*Pressure of Gas*Volume of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Temperature in 2D

Go Average Velocity given Temperature = sqrt((pi*[R]*Temperature of Gas)/(2*Molar Mass))

Average Velocity of Gas given Temperature

Go Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))

Average Velocity of Gas given Pressure and Density in 2D

Go Average Velocity given P and D = sqrt((pi*Pressure of Gas)/(2*Density of Gas))

Average Velocity of Gas given Pressure and Density

Go Average Velocity given P and D = sqrt((8*Pressure of Gas)/(pi*Density of Gas))

Acentric Factor given Actual and Critical Saturation Vapor Pressure

Go Acentric Factor VP = -log10(Saturation Vapour Pressure/Critical saturation vapour pressure)-1

Acentric Factor

Go Acentric Factor VP = -log10(Reduced saturation vapour pressure)-1

Average Velocity of Gas given Root Mean Square Speed in 2D

Go Average Velocity given RMS = (0.8862*Root Mean Square of Speed)

Average Velocity of Gas given Root Mean Square Speed

Go Average Velocity given RMS = (0.9213*Root Mean Square of Speed)

Average Velocity of Gas given Temperature Formula

Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass))
C_av = sqrt((8*[R]*T_g)/(pi*M_molar))

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Average Velocity of Gas given Temperature?

Average Velocity of Gas given Temperature calculator uses Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass)) to calculate 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 calculate Average Velocity of Gas given Temperature using this online calculator? To use this online calculator for Average Velocity of Gas given Temperature, enter Temperature of Gas (T_g) & Molar Mass (M_molar) and hit the calculate button. Here is how the Average Velocity of Gas given Temperature calculation can be explained with given input values -> 120.1357 = sqrt((8*[R]*30)/(pi*0.04401)).

FAQ

What is Average Velocity of Gas given Temperature?

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 and is represented as C_av = sqrt((8*[R]*T_g)/(pi*M_molar)) or Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass)). The temperature of Gas is the measure of hotness or coldness of a gas & Molar Mass is the mass of a given substance divided by the amount of substance.

How to calculate Average Velocity of Gas given Temperature?

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 is calculated using Average Velocity of Gas = sqrt((8*[R]*Temperature of Gas)/(pi*Molar Mass)). To calculate Average Velocity of Gas given Temperature, you need Temperature of Gas (T_g) & Molar Mass (M_molar). With our tool, you need to enter the respective value for Temperature of Gas & 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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