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Mean Square Speed of Gas Molecule given Pressure and Volume of Gas 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 Number of Molecules is the total number of particles present in the specific container.ⓘ Number of Molecules [N_molecules]			+10% -10%
✖The Mass of Each Molecule is the ratio of molar mass and Avagadro number.ⓘ Mass of Each Molecule [m]			+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.ⓘ Mean Square Speed of Gas Molecule given Pressure and Volume of Gas [C_RMS]

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Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
C_RMS = (3*P_gas*V)/(N_molecules*m)
This formula uses 5 Variables

Variables Used

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.
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.
Number of Molecules - The Number of Molecules is the total number of particles present in the specific container.
Mass of Each Molecule - (Measured in Kilogram) - The Mass of Each Molecule is the ratio of molar mass and Avagadro number.

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)
Number of Molecules: 100 --> No Conversion Required
Mass of Each Molecule: 0.1 Gram --> 0.0001 Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_RMS = (3*P_gas*V)/(N_molecules*m) --> (3*0.215*0.0224)/(100*0.0001)

Evaluating ... ...

C_RMS = 1.4448

STEP 3: Convert Result to Output's Unit

1.4448 Meter per Second --> No Conversion Required

FINAL ANSWER

1.4448 Meter per Second <-- Root Mean Square Speed

(Calculation completed in 00.020 seconds)

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K J Somaiya College of science (K J Somaiya), Mumbai

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< Mean Square Speed of Gas Calculators

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

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

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

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

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas

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

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas Formula

LaTeX Go

Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule)
C_RMS = (3*P_gas*V)/(N_molecules*m)

What are postulates of Kinetic molecular theory of gas?

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 Mean Square Speed of Gas Molecule given Pressure and Volume of Gas?

Mean Square Speed of Gas Molecule given Pressure and Volume of Gas calculator uses Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule) to calculate the Root Mean Square Speed, The Mean square speed of gas molecule given pressure and volume of gas formula is defined as the square root of the ratio of three times the pressure and volume of the gas to the mass of each molecule of gas. Root Mean Square Speed is denoted by C_RMS symbol.

How to calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas using this online calculator? To use this online calculator for Mean Square Speed of Gas Molecule given Pressure and Volume of Gas, enter Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Mass of Each Molecule (m) and hit the calculate button. Here is how the Mean Square Speed of Gas Molecule given Pressure and Volume of Gas calculation can be explained with given input values -> 1.4448 = (3*0.215*0.0224)/(100*0.0001).

FAQ

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

The Mean square speed of gas molecule given pressure and volume of gas formula is defined as the square root of the ratio of three times the pressure and volume of the gas to the mass of each molecule of gas and is represented as C_RMS = (3*P_gas*V)/(N_molecules*m) or Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule). 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 Number of Molecules is the total number of particles present in the specific container & The Mass of Each Molecule is the ratio of molar mass and Avagadro number.

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

The Mean square speed of gas molecule given pressure and volume of gas formula is defined as the square root of the ratio of three times the pressure and volume of the gas to the mass of each molecule of gas is calculated using Root Mean Square Speed = (3*Pressure of Gas*Volume of Gas)/(Number of Molecules*Mass of Each Molecule). To calculate Mean Square Speed of Gas Molecule given Pressure and Volume of Gas, you need Pressure of Gas (P_gas), Volume of Gas (V), Number of Molecules (N_molecules) & Mass of Each Molecule (m). With our tool, you need to enter the respective value for Pressure of Gas, Volume of Gas, Number of Molecules & Mass of Each Molecule and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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