Volume of Gas given Most Probable Speed and Pressure Calculator

✖Molar Mass is the mass of a given substance divided by the amount of substance.ⓘ Molar Mass [M_molar]			+10% -10%
✖The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.ⓘ Most Probable Velocity [C_mp]			+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 Most Probable Speed and Pressure [V_gas]

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Formula

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Volume of Gas given Most Probable Speed and Pressure

Formula

`"V"_{"gas"} = ("M"_{"molar"}*(("C"_{"mp"})^2))/(2*"P"_{"gas"})`

Example

`"40939.53L"=("44.01g/mol"*(("20m/s")^2))/(2*"0.215Pa")`

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Volume of Gas given Most Probable Speed and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas)
V_gas = (M_molar*((C_mp)^2))/(2*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.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Most Probable Velocity - (Measured in Meter per Second) - The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.
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

Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Most Probable Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Pressure of Gas: 0.215 Pascal --> 0.215 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_gas = (M_molar*((C_mp)^2))/(2*P_gas) --> (0.04401*((20)^2))/(2*0.215)

Evaluating ... ...

V_gas = 40.9395348837209

STEP 3: Convert Result to Output's Unit

40.9395348837209 Cubic Meter -->40939.5348837209 Liter (Check conversion here)

FINAL ANSWER

40939.5348837209 ≈ 40939.53 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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< 9 Volume of Gas Calculators

Volume of Gas Molecules in 3D Box given Pressure

Go Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas)

Volume of Gas given Average Velocity and Pressure in 2D

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

Volume of Gas given Average Velocity and Pressure

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

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

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

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

Volume of Gas given Most Probable Speed and Pressure in 2D

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

Volume of Gas given Root Mean Square Speed and Pressure

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

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

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

Volume of Gas given Kinetic Energy

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

Volume of Gas given Most Probable Speed and Pressure Formula

Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas)
V_gas = (M_molar*((C_mp)^2))/(2*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 Most Probable Speed and Pressure?

Volume of Gas given Most Probable Speed and Pressure calculator uses Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas) to calculate the Volume of Gas, The Volume of gas given most probable speed and pressure formula is defined as the ratio of the molar mass and the square of the most probable velocity to the pressure of the gas. Volume of Gas is denoted by V_gas symbol.

How to calculate Volume of Gas given Most Probable Speed and Pressure using this online calculator? To use this online calculator for Volume of Gas given Most Probable Speed and Pressure, enter Molar Mass (M_molar), Most Probable Velocity (C_mp) & Pressure of Gas (P_gas) and hit the calculate button. Here is how the Volume of Gas given Most Probable Speed and Pressure calculation can be explained with given input values -> 4.1E+7 = (0.04401*((20)^2))/(2*0.215).

FAQ

What is Volume of Gas given Most Probable Speed and Pressure?

The Volume of gas given most probable speed and pressure formula is defined as the ratio of the molar mass and the square of the most probable velocity to the pressure of the gas and is represented as V_gas = (M_molar*((C_mp)^2))/(2*P_gas) or Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas). Molar Mass is the mass of a given substance divided by the amount of substance, The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature & The pressure of Gas is the force that the gas exerts on the walls of its container.

How to calculate Volume of Gas given Most Probable Speed and Pressure?

The Volume of gas given most probable speed and pressure formula is defined as the ratio of the molar mass and the square of the most probable velocity to the pressure of the gas is calculated using Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(2*Pressure of Gas). To calculate Volume of Gas given Most Probable Speed and Pressure, you need Molar Mass (M_molar), Most Probable Velocity (C_mp) & Pressure of Gas (P_gas). With our tool, you need to enter the respective value for Molar Mass, Most Probable Velocity & 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 Molar Mass, Most Probable Velocity & Pressure of Gas. We can use 8 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)
Volume of Gas = (Molar Mass*((Most Probable Velocity)^2))/(Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(3*Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(Pressure of Gas)
Volume of Gas = ((Root Mean Square Speed)^2)*Molar Mass/(2*Pressure of Gas)
Volume of Gas = (1/3)*((Number of Molecules*Mass of Each Molecule*(Root Mean Square Speed)^2)/Pressure of Gas)

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