Pressure Calculator

✖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 Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.ⓘ Root Mean Square Velocity [V_rms]			+10% -10%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P']

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Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
P' = 1/3*ρ_gas*V_rms^2
This formula uses 3 Variables

Variables Used

Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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 Velocity - (Measured in Meter per Second) - The Root Mean Square Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.

STEP 1: Convert Input(s) to Base Unit

Density of Gas: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Root Mean Square Velocity: 300 Meter per Second --> 300 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P' = 1/3*ρ_gas*V_rms^2 --> 1/3*1.225*300^2

Evaluating ... ...

P' = 36750

STEP 3: Convert Result to Output's Unit

36750 Pascal --> No Conversion Required

FINAL ANSWER

36750 Pascal <-- Pressure

(Calculation completed in 00.020 seconds)

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Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

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LaTeX Go Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2

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Pressure Formula

LaTeX Go

Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
P' = 1/3*ρ_gas*V_rms^2

What do you mean by RMS velocity?

The root mean square velocity is the square root of the average of the square of the velocity. As such, it has units of velocity. The reason we use the rms velocity instead of the average is that for a typical gas sample the net velocity is zero since the particles are moving in all directions.

How to Calculate Pressure?

Pressure calculator uses Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2 to calculate the Pressure, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Pressure may also be expressed in terms of standard atmospheric pressure; the atmosphere (atm) is equal to this pressure, and the torr is defined as 1⁄760 of this. Pressure is denoted by P' symbol.

How to calculate Pressure using this online calculator? To use this online calculator for Pressure, enter Density of Gas (ρ_gas) & Root Mean Square Velocity (V_rms) and hit the calculate button. Here is how the Pressure calculation can be explained with given input values -> 36750 = 1/3*1.225*300^2.

FAQ

What is Pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Pressure may also be expressed in terms of standard atmospheric pressure; the atmosphere (atm) is equal to this pressure, and the torr is defined as 1⁄760 of this and is represented as P' = 1/3*ρ_gas*V_rms^2 or Pressure = 1/3*Density of Gas*Root Mean Square Velocity^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 Velocity is the square root of the average of the square of the velocity. As such, it has units of velocity.

How to calculate Pressure?

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Pressure may also be expressed in terms of standard atmospheric pressure; the atmosphere (atm) is equal to this pressure, and the torr is defined as 1⁄760 of this is calculated using Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2. To calculate Pressure, you need Density of Gas (ρ_gas) & Root Mean Square Velocity (V_rms). With our tool, you need to enter the respective value for Density of Gas & Root Mean Square Velocity 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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