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Volume of Gas given Root Mean Square Speed and Pressure Calculator

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✖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 is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖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 given Root Mean Square Speed and Pressure [V_gas]

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Volume of Gas given Root Mean Square Speed and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas)
V_gas = ((C_RMS)^2)*M_molar/(3*P_gas)
This formula uses 4 Variables

Variables Used

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.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass 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.

STEP 1: Convert Input(s) to Base Unit

Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gas = ((C_RMS)^2)*M_molar/(3*P_gas) --> ((10)^2)*0.04401/(3*0.215)

Evaluating ... ...

V_gas = 6.82325581395349

STEP 3: Convert Result to Output's Unit

6.82325581395349 Cubic Meter -->6823.25581395349 Liter (Check conversion here)

FINAL ANSWER

6823.25581395349 ≈ 6823.256 Liter <-- Volume 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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Volume of Gas given Average Velocity and Pressure in 2D

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

Volume of Gas given Average Velocity and Pressure

LaTeX Go Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)

Volume of Gas given Most Probable Speed and Pressure

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

Volume of Gas given Kinetic Energy

LaTeX Go Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)

Volume of Gas given Root Mean Square Speed and Pressure Formula

LaTeX Go

Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas)
V_gas = ((C_RMS)^2)*M_molar/(3*P_gas)

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 Volume of Gas given Root Mean Square Speed and Pressure?

Volume of Gas given Root Mean Square Speed and Pressure calculator uses Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas) to calculate the Volume of Gas, The Volume of gas given root mean square speed and Pressure formula is defined as the ratio of mean square speed and molar mass of the respective gas to the pressure of the gas. Volume of Gas is denoted by V_gas symbol.

How to calculate Volume of Gas given Root Mean Square Speed and Pressure using this online calculator? To use this online calculator for Volume of Gas given Root Mean Square Speed and Pressure, enter Root Mean Square Speed (C_RMS), Molar Mass (M_molar) & Pressure of Gas (P_gas) and hit the calculate button. Here is how the Volume of Gas given Root Mean Square Speed and Pressure calculation can be explained with given input values -> 6.8E+6 = ((10)^2)*0.04401/(3*0.215).

FAQ

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

The Volume of gas given root mean square speed and Pressure formula is defined as the ratio of mean square speed and molar mass of the respective gas to the pressure of the gas and is represented as V_gas = ((C_RMS)^2)*M_molar/(3*P_gas) or Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of 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, Molar Mass is the mass of a given substance divided by the amount of substance & The pressure of Gas is the force that the gas exerts on the walls of its container.

How to calculate Volume of Gas given Root Mean Square Speed and Pressure?

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

In this formula, Volume of Gas uses Root Mean Square Speed, Molar Mass & Pressure of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Gas = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Pressure of Gas)
Volume of Gas = (Molar Mass*2*((Average Velocity of Gas)^2))/(pi*Pressure of Gas)
Volume of Gas = (2/3)*(Kinetic Energy/Pressure of Gas)

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