Pressure of Gas given most probable Speed and Density Calculator

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✖The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+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%

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

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Formula

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Pressure of Gas given most probable Speed and Density

Formula

`"P"_{"CMS_D"} = ("ρ"_{"gas"}*(("C"_{"mp"})^2))/2`

Example

`"0.256Pa"=("0.00128kg/m³"*(("20m/s")^2))/2`

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Pressure of Gas given most probable Speed and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2
P_{CMS_D} = (ρ_gas*((C_mp)^2))/2
This formula uses 3 Variables

Variables Used

Pressure of Gas given CMS and D - (Measured in Pascal) - Pressure of Gas given CMS and D is the force that the gas exerts on the walls of its container.
Density of Gas - (Measured in Kilogram per Cubic Meter) - The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Density of Gas: 0.00128 Kilogram per Cubic Meter --> 0.00128 Kilogram per Cubic Meter No Conversion Required
Most Probable Velocity: 20 Meter per Second --> 20 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{CMS_D} = (ρ_gas*((C_mp)^2))/2 --> (0.00128*((20)^2))/2

Evaluating ... ...

P_{CMS_D} = 0.256

STEP 3: Convert Result to Output's Unit

0.256 Pascal --> No Conversion Required

FINAL ANSWER

0.256 Pascal <-- Pressure of Gas given CMS and D

(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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Pressure of Gas given most probable Speed and Volume

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Pressure of Gas given Average Velocity and Density in 2D

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

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

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

Go Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))

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Molar Mass of Gas given Temperature and Average Velocity in 1D

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Pressure of Gas given most probable Speed and Density Formula

Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2
P_{CMS_D} = (ρ_gas*((C_mp)^2))/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 Pressure of Gas given most probable Speed and Density?

Pressure of Gas given most probable Speed and Density calculator uses Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2 to calculate the Pressure of Gas given CMS and D, The Pressure of gas given most probable speed and density formula is defined as the half of the product of density and square of the most probable velocity of the gas molecules. Pressure of Gas given CMS and D is denoted by P_{CMS_D} symbol.

How to calculate Pressure of Gas given most probable Speed and Density using this online calculator? To use this online calculator for Pressure of Gas given most probable Speed and Density, enter Density of Gas (ρ_gas) & Most Probable Velocity (C_mp) and hit the calculate button. Here is how the Pressure of Gas given most probable Speed and Density calculation can be explained with given input values -> 0.256 = (0.00128*((20)^2))/2.

FAQ

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

The Pressure of gas given most probable speed and density formula is defined as the half of the product of density and square of the most probable velocity of the gas molecules and is represented as P_{CMS_D} = (ρ_gas*((C_mp)^2))/2 or Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2. The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure & The Most Probable Velocity is the velocity possessed by a maximum fraction of molecules at the same temperature.

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

The Pressure of gas given most probable speed and density formula is defined as the half of the product of density and square of the most probable velocity of the gas molecules is calculated using Pressure of Gas given CMS and D = (Density of Gas*((Most Probable Velocity)^2))/2. To calculate Pressure of Gas given most probable Speed and Density, you need Density of Gas (ρ_gas) & Most Probable Velocity (C_mp). With our tool, you need to enter the respective value for Density of Gas & Most Probable Velocity 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 Pressure of Gas given CMS and D?

In this formula, Pressure of Gas given CMS and D uses Density of Gas & Most Probable Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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