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

STEP 0: Pre-Calculation Summary
Formula Used
Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2)
Mmolar_g = ([R]*Tg)/((CRMS)^2)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
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.
Root Mean Square Speed - (Measured in Meter per Second) - The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
STEP 1: Convert Input(s) to Base Unit
Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mmolar_g = ([R]*Tg)/((CRMS)^2) --> ([R]*30)/((10)^2)
Evaluating ... ...
Mmolar_g = 2.49433878544597
STEP 3: Convert Result to Output's Unit
2.49433878544597 Kilogram Per Mole -->2494.33878544597 Gram Per Mole (Check conversion here)
FINAL ANSWER
2494.33878544597 2494.339 Gram Per Mole <-- Molar Mass of a Gas
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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 Root Mean Square Speed and Temperature in 1D Formula

Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2)
Mmolar_g = ([R]*Tg)/((CRMS)^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 Root Mean Square Speed and Temperature in 1D?

Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D calculator uses Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2) to calculate the Molar Mass of a Gas, The Molar mass of gas given root mean square speed and temperature in 1D formula is defined as the ratio of temperature and mean square speed of the gas molecules. Molar Mass of a Gas is denoted by Mmolar_g symbol.

How to calculate Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D using this online calculator? To use this online calculator for Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D, enter Temperature of Gas (Tg) & Root Mean Square Speed (CRMS) and hit the calculate button. Here is how the Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D calculation can be explained with given input values -> 2.5E+6 = ([R]*30)/((10)^2).

FAQ

What is Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D?
The Molar mass of gas given root mean square speed and temperature in 1D formula is defined as the ratio of temperature and mean square speed of the gas molecules and is represented as Mmolar_g = ([R]*Tg)/((CRMS)^2) or Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2). The temperature of Gas is the measure of hotness or coldness of a gas & The Root Mean Square Speed is the value of the square root of the sum of the squares of the stacking velocity values divided by the number of values.
How to calculate Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D?
The Molar mass of gas given root mean square speed and temperature in 1D formula is defined as the ratio of temperature and mean square speed of the gas molecules is calculated using Molar Mass of a Gas = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2). To calculate Molar Mass of Gas given Root Mean Square Speed and Temperature in 1D, you need Temperature of Gas (Tg) & Root Mean Square Speed (CRMS). With our tool, you need to enter the respective value for Temperature of Gas & Root Mean Square Speed 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 & Root Mean Square Speed. 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 = (2*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)
  • Molar Mass of a Gas = (8*[R]*Temperature of Gas)/(pi*(Average Velocity of Gas)^2)
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