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Molar Mass of Gas given Root Mean Square Speed and Temperature 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 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.ⓘ Root Mean Square Speed [C_RMS]			+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 Root Mean Square Speed and Temperature [M_{molar_g}]

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

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass of a Gas = (3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)
M_{molar_g} = (3*[R]*T_g)/((C_RMS)^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

M_{molar_g} = (3*[R]*T_g)/((C_RMS)^2) --> (3*[R]*30)/((10)^2)

Evaluating ... ...

M_{molar_g} = 7.48301635633792

STEP 3: Convert Result to Output's Unit

7.48301635633792 Kilogram Per Mole -->7483.01635633792 Gram Per Mole (Check conversion here)

FINAL ANSWER

7483.01635633792 ≈ 7483.016 Gram Per Mole <-- Molar Mass of a Gas

(Calculation completed in 00.004 seconds)

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

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Molar Mass of Gas given Root Mean Square Speed and Temperature Formula

LaTeX Go

Molar Mass of a Gas = (3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2)
M_{molar_g} = (3*[R]*T_g)/((C_RMS)^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?

Molar Mass of Gas given Root Mean Square Speed and Temperature calculator uses Molar Mass of a Gas = (3*[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 formula is defined as the ratio of temperature and mean square speed of the gas molecules. Molar Mass of a Gas is denoted by M_{molar_g} symbol.

How to calculate Molar Mass of Gas given Root Mean Square Speed and Temperature using this online calculator? To use this online calculator for Molar Mass of Gas given Root Mean Square Speed and Temperature, enter Temperature of Gas (T_g) & Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Molar Mass of Gas given Root Mean Square Speed and Temperature calculation can be explained with given input values -> 7.5E+6 = (3*[R]*30)/((10)^2).

FAQ

What is Molar Mass of Gas given Root Mean Square Speed and Temperature?

The Molar mass of gas given root mean square speed and temperature formula is defined as the ratio of temperature and mean square speed of the gas molecules and is represented as M_{molar_g} = (3*[R]*T_g)/((C_RMS)^2) or Molar Mass of a Gas = (3*[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?

The Molar mass of gas given root mean square speed and temperature formula is defined as the ratio of temperature and mean square speed of the gas molecules is calculated using Molar Mass of a Gas = (3*[R]*Temperature of Gas)/((Root Mean Square Speed)^2). To calculate Molar Mass of Gas given Root Mean Square Speed and Temperature, you need Temperature of Gas (T_g) & Root Mean Square Speed (C_RMS). 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 3 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 = ([R]*Temperature of Gas)/((Root Mean Square Speed)^2)

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