Molar Mass of Gas given Root Mean Square Speed and Pressure Calculator

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✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas [P_gas]			+10% -10%
✖The volume of Gas is the amount of space that it occupies.ⓘ Volume of Gas [V]			+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 given S and V is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass of Gas given Root Mean Square Speed and Pressure [M_{S_V}]

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Formula

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Molar Mass of Gas given Root Mean Square Speed and Pressure

Formula

`"M"_{"S_V"} = (3*"P"_{"gas"}*"V")/(("C"_{"RMS"})^2)`

Example

`"0.14448g/mol"=(3*"0.215Pa"*"22.4L")/(("10m/s")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
M_{S_V} = (3*P_gas*V)/((C_RMS)^2)
This formula uses 4 Variables

Variables Used

Molar Mass given S and V - (Measured in Kilogram Per Mole) - Molar Mass given S and V is the mass of a given substance divided by the amount of substance.
Pressure of Gas - (Measured in Pascal) - The pressure of Gas is the force that the gas exerts on the walls of its container.
Volume of Gas - (Measured in Cubic Meter) - The volume of Gas is the amount of space that it occupies.
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

Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required
Volume of Gas: 22.4 Liter --> 0.0224 Cubic Meter (Check conversion here)
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_{S_V} = (3*P_gas*V)/((C_RMS)^2) --> (3*0.215*0.0224)/((10)^2)

Evaluating ... ...

M_{S_V} = 0.00014448

STEP 3: Convert Result to Output's Unit

0.00014448 Kilogram Per Mole -->0.14448 Gram Per Mole (Check conversion here)

FINAL ANSWER

0.14448 Gram Per Mole <-- Molar Mass given S and V

(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

< 15 Important Formulae on 1D Calculators

Pressure of Gas given Average Velocity and Volume

Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas in 1D

Go Root Mean Square of Speed = (Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)

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)

Most Probable Velocity of Gas given Pressure and Volume

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

Most Probable Velocity of Gas given Temperature

Go Most Probable Velocity given T = sqrt((2*[R]*Temperature of Gas)/Molar Mass)

Pressure of Gas given most probable Speed and Volume

Go Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)

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

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

Pressure of Gas given Average Velocity and Density

Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

Molar Mass given Most probable Speed and Temperature

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

Most Probable Velocity of Gas given Pressure and Density

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

Pressure of Gas given most probable Speed and Density

Go Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2

Most Probable Velocity of Gas given RMS Velocity

Go Most Probable Velocity given RMS = (0.8166*Root Mean Square Speed)

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

Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2)
M_{S_V} = (3*P_gas*V)/((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 Pressure?

Molar Mass of Gas given Root Mean Square Speed and Pressure calculator uses Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2) to calculate the Molar Mass given S and V, The Molar mass of gas given root mean square speed and pressure formula is defined as the ratio of the product of pressure and volume of the gas to the mean square speed of each molecule. Molar Mass given S and V is denoted by M_{S_V} symbol.

How to calculate Molar Mass of Gas given Root Mean Square Speed and Pressure using this online calculator? To use this online calculator for Molar Mass of Gas given Root Mean Square Speed and Pressure, enter Pressure of Gas (P_gas), Volume of Gas (V) & 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 Pressure calculation can be explained with given input values -> 144.48 = (3*0.215*0.0224)/((10)^2).

FAQ

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

The Molar mass of gas given root mean square speed and pressure formula is defined as the ratio of the product of pressure and volume of the gas to the mean square speed of each molecule and is represented as M_{S_V} = (3*P_gas*V)/((C_RMS)^2) or Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2). The pressure of Gas is the force that the gas exerts on the walls of its container, The volume of Gas is the amount of space that it occupies & 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 Pressure?

The Molar mass of gas given root mean square speed and pressure formula is defined as the ratio of the product of pressure and volume of the gas to the mean square speed of each molecule is calculated using Molar Mass given S and V = (3*Pressure of Gas*Volume of Gas)/((Root Mean Square Speed)^2). To calculate Molar Mass of Gas given Root Mean Square Speed and Pressure, you need Pressure of Gas (P_gas), Volume of Gas (V) & Root Mean Square Speed (C_RMS). With our tool, you need to enter the respective value for Pressure of Gas, Volume 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 given S and V?

In this formula, Molar Mass given S and V uses Pressure of Gas, Volume of Gas & Root Mean Square Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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