Molar Mass of Gas given Temperature and Average Velocity Calculator

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✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%
✖The Average Velocity of Gas is the mean of all the velocities of the gas molecule.ⓘ Average Velocity of Gas [C_av]			+10% -10%

✖Molar Mass of a Gas is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass of Gas given Temperature and Average Velocity [M_{molar_g}]

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Formula

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Molar Mass of Gas given Temperature and Average Velocity

Formula

`"M"_{"molar_g"} = (8*"[R]"*"T"_{"g"})/(pi*("C"_{"av"})^2)`

Example

`"25407.13g/mol"=(8*"[R]"*"30K")/(pi*("5m/s")^2)`

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Download Kinetic Theory of Gases Formula PDF

Molar Mass of Gas given Temperature and Average Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2)
M_{molar_g} = (8*[R]*T_g)/(pi*(C_av)^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 of a Gas - (Measured in Kilogram Per Mole) - Molar Mass of a Gas is the mass of a given substance divided by the amount of substance.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
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.

STEP 1: Convert Input(s) to Base Unit

Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required
Average Velocity of Gas: 5 Meter per Second --> 5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_{molar_g} = (8*[R]*T_g)/(pi*(C_av)^2) --> (8*[R]*30)/(pi*(5)^2)

Evaluating ... ...

M_{molar_g} = 25.4071262367719

STEP 3: Convert Result to Output's Unit

25.4071262367719 Kilogram Per Mole -->25407.1262367719 Gram Per Mole (Check conversion here)

FINAL ANSWER

25407.1262367719 ≈ 25407.13 Gram Per Mole <-- Molar Mass of a Gas

(Calculation completed in 00.020 seconds)

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Created by Prashant Singh

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

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< 14 Molar Mass of Gas Calculators

Molar Mass of Gas given Average Velocity, Pressure, and Volume

Go Molar Mass given AV and P = (8*Pressure of Gas*Volume of Gas)/(pi*((Average Velocity of Gas)^2))

Molar Mass of Gas given Temperature and Average Velocity in 1D

Go Molar Mass given AV and T = (pi*[R]*Temperature of Gas)/(2*(Average Velocity of Gas)^2)

Molar Mass of Gas given Average Velocity, Pressure, and Volume in 2D

Go Molar Mass 2D = (pi*Pressure of Gas*Volume of Gas)/(2*((Average Velocity of Gas)^2))

Molar Mass of Gas given Temperature and Average Velocity

Go Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2)

Molar Mass of gas given most probable Speed, Pressure and Volume

Go Molar Mass given S and P = (2*Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given Root Mean Square Speed and Pressure

Go Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)

Molar Mass given Most probable Speed and Temperature

Go Molar Mass given V and P = (2*[R]*Temperature of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given most probable Speed, Pressure and Volume in 2D

Go Molar Mass of a Gas = (Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)

Molar Mass of Gas given Root Mean Square Speed and Pressure in 1D

Go Molar Mass of a Gas = (Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)

Molar Mass of Gas given Root Mean Square Speed and Temperature in 2D

Go Molar Mass of a Gas = (2*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)

Molar Mass of Gas given Root Mean Square Speed and Temperature

Go Molar Mass of a Gas = (3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)

Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D

Go Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2)

Molar Mass given Most Probable Speed and Temperature in 2D

Go Molar Mass in 2D = ([R]*Temperature of Gas)/((Most Probable Velocity)^2)

Molar Volume of Perfect Gas given Compressibility Factor

Go Molar Volume given CE = Molar Volume of Real Gas/Compressibility Factor

Molar Mass of Gas given Temperature and Average Velocity Formula

Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2)
M_{molar_g} = (8*[R]*T_g)/(pi*(C_av)^2)

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 Molar Mass of Gas given Temperature and Average Velocity?

Molar Mass of Gas given Temperature and Average Velocity calculator uses Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2) to calculate the Molar Mass of a Gas, The Molar mass of gas given temperature and average velocity formula is defined as the direct proportion of the molar mass of gas with temperature and inverse proportion of molar mass with the square of the most probable velocity. Molar Mass of a Gas is denoted by M_{molar_g} symbol.

How to calculate Molar Mass of Gas given Temperature and Average Velocity using this online calculator? To use this online calculator for Molar Mass of Gas given Temperature and Average Velocity, enter Temperature of Gas (T_g) & Average Velocity of Gas (C_av) and hit the calculate button. Here is how the Molar Mass of Gas given Temperature and Average Velocity calculation can be explained with given input values -> 2.5E+7 = (8*[R]*30)/(pi*(5)^2).

FAQ

What is Molar Mass of Gas given Temperature and Average Velocity?

The Molar mass of gas given temperature and average velocity formula is defined as the direct proportion of the molar mass of gas with temperature and inverse proportion of molar mass with the square of the most probable velocity and is represented as M_{molar_g} = (8*[R]*T_g)/(pi*(C_av)^2) or Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2). The temperature of Gas is the measure of hotness or coldness of a gas & The Average Velocity of Gas is the mean of all the velocities of the gas molecule.

How to calculate Molar Mass of Gas given Temperature and Average Velocity?

The Molar mass of gas given temperature and average velocity formula is defined as the direct proportion of the molar mass of gas with temperature and inverse proportion of molar mass with the square of the most probable velocity is calculated using Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2). To calculate Molar Mass of Gas given Temperature and Average Velocity, you need Temperature of Gas (T_g) & Average Velocity of Gas (C_av). With our tool, you need to enter the respective value for Temperature of Gas & Average Velocity 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 of a Gas?

In this formula, Molar Mass of a Gas uses Temperature of Gas & Average Velocity of Gas. We can use 5 other way(s) to calculate the same, which is/are as follows -

Molar Mass of a Gas = (Pressure of Gas*Volume of Gas)/((Most Probable Velocity)^2)
Molar Mass of a Gas = (Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
Molar Mass of a Gas = (3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)
Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2)
Molar Mass of a Gas = (2*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)

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