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Pressure of Gas given Root Mean Square 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 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%

✖The pressure of Gas is the force that the gas exerts on the walls of its container.ⓘ Pressure of Gas given Root Mean Square Speed and Density [P_gas]

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Pressure of Gas given Root Mean Square Speed and Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
P_gas = (1/3)*(ρ_gas*((C_RMS)^2))
This formula uses 3 Variables

Variables Used

Pressure of Gas - (Measured in Pascal) - The pressure of Gas 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.
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.

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
Root Mean Square Speed: 10 Meter per Second --> 10 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_gas = (1/3)*(ρ_gas*((C_RMS)^2)) --> (1/3)*(0.00128*((10)^2))

Evaluating ... ...

P_gas = 0.0426666666666667

STEP 3: Convert Result to Output's Unit

0.0426666666666667 Pascal --> No Conversion Required

FINAL ANSWER

0.0426666666666667 ≈ 0.042667 Pascal <-- Pressure of Gas

(Calculation completed in 00.010 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 Average Velocity and Volume

LaTeX Go Pressure of Gas given AV and V = (Molar Mass*pi*((Average Velocity of Gas)^2))/(8*Volume of Gas for 1D and 2D)

Pressure of Gas given Average Velocity and Density in 2D

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

Pressure of Gas given Average Velocity and Density

LaTeX Go Pressure of Gas given AV and D = (Density of Gas*pi*((Average Velocity of Gas)^2))/8

Pressure of Gas given Root Mean Square Speed and Density Formula

LaTeX Go

Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2))
P_gas = (1/3)*(ρ_gas*((C_RMS)^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 Root Mean Square Speed and Density?

Pressure of Gas given Root Mean Square Speed and Density calculator uses Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2)) to calculate the Pressure of Gas, The Pressure of gas given root mean square speed and density formula is defined as one-third of the product of the density of gas and mean square speed. Pressure of Gas is denoted by P_gas symbol.

How to calculate Pressure of Gas given Root Mean Square Speed and Density using this online calculator? To use this online calculator for Pressure of Gas given Root Mean Square Speed and Density, enter Density of Gas (ρ_gas) & Root Mean Square Speed (C_RMS) and hit the calculate button. Here is how the Pressure of Gas given Root Mean Square Speed and Density calculation can be explained with given input values -> 0.042667 = (1/3)*(0.00128*((10)^2)).

FAQ

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

The Pressure of gas given root mean square speed and density formula is defined as one-third of the product of the density of gas and mean square speed and is represented as P_gas = (1/3)*(ρ_gas*((C_RMS)^2)) or Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2)). The Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure & 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.

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

The Pressure of gas given root mean square speed and density formula is defined as one-third of the product of the density of gas and mean square speed is calculated using Pressure of Gas = (1/3)*(Density of Gas*((Root Mean Square Speed)^2)). To calculate Pressure of Gas given Root Mean Square Speed and Density, you need Density of Gas (ρ_gas) & Root Mean Square Speed (C_RMS). With our tool, you need to enter the respective value for Density of Gas & Root Mean Square Speed 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?

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

Pressure of Gas = (2/3)*(Kinetic Energy/Volume of Gas)
Pressure of Gas = (Density of Gas*((Root Mean Square Speed)^2))
Pressure of Gas = (1/2)*(Density of Gas*((Root Mean Square Speed)^2))

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