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Pressure of Gas given most probable Speed and Volume Calculator

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✖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%
✖Volume of Gas for 1D and 2D is the amount of space that it occupies.ⓘ Volume of Gas for 1D and 2D [V_g]			+10% -10%

✖Pressure of Gas given CMS and V is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given most probable Speed and Volume [P_{CMS_V}]

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Pressure of Gas given most probable Speed and Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
P_{CMS_V} = (M_molar*(C_mp)^2)/(2*V_g)
This formula uses 4 Variables

Variables Used

Pressure of Gas given CMS and V - (Measured in Pascal) - Pressure of Gas given CMS and V is the force that the gas exerts on the walls of its container.
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.
Volume of Gas for 1D and 2D - (Measured in Cubic Meter) - Volume of Gas for 1D and 2D is the amount of space that it occupies.

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
Volume of Gas for 1D and 2D: 22.45 Liter --> 0.02245 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{CMS_V} = (M_molar*(C_mp)^2)/(2*V_g) --> (0.04401*(20)^2)/(2*0.02245)

Evaluating ... ...

P_{CMS_V} = 392.07126948775

STEP 3: Convert Result to Output's Unit

392.07126948775 Pascal --> No Conversion Required

FINAL ANSWER

392.07126948775 ≈ 392.0713 Pascal <-- Pressure of Gas given CMS and V

(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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Pressure of Gas given most probable Speed and Volume Formula

LaTeX Go

Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D)
P_{CMS_V} = (M_molar*(C_mp)^2)/(2*V_g)

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 Pressure of Gas given most probable Speed and Volume?

Pressure of Gas given most probable Speed and Volume calculator uses Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D) to calculate the Pressure of Gas given CMS and V, The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas. Pressure of Gas given CMS and V is denoted by P_{CMS_V} symbol.

How to calculate Pressure of Gas given most probable Speed and Volume using this online calculator? To use this online calculator for Pressure of Gas given most probable Speed and Volume, enter Molar Mass (M_molar), Most Probable Velocity (C_mp) & Volume of Gas for 1D and 2D (V_g) and hit the calculate button. Here is how the Pressure of Gas given most probable Speed and Volume calculation can be explained with given input values -> 0.392946 = (0.04401*(20)^2)/(2*22.45).

FAQ

What is Pressure of Gas given most probable Speed and Volume?

The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas and is represented as P_{CMS_V} = (M_molar*(C_mp)^2)/(2*V_g) or Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D). 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 & Volume of Gas for 1D and 2D is the amount of space that it occupies.

How to calculate Pressure of Gas given most probable Speed and Volume?

The Pressure of gas given most probable speed and volume formula is defined as the ratio of the molar mass and square of the most probable velocity to the volume of the gas is calculated using Pressure of Gas given CMS and V = (Molar Mass*(Most Probable Velocity)^2)/(2*Volume of Gas for 1D and 2D). To calculate Pressure of Gas given most probable Speed and Volume, you need Molar Mass (M_molar), Most Probable Velocity (C_mp) & Volume of Gas for 1D and 2D (V_g). With our tool, you need to enter the respective value for Molar Mass, Most Probable Velocity & Volume of Gas for 1D and 2D 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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