Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
P' = 1/3*ρgas*Vrms^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*ρgas*Vrms^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 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 1000+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

8 Pressure Relations Calculators

Relative Humidity
Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)
Critical Compressibility
Go Compressibility Factor = (Critical Pressure*Critical Volume*10^(-3))/(Specific Gas Constant*Critical Temperature)
Pseudo-Reduced Specific Volume
Go Pseudo Reduced Specific Volume = Specific Volume*Critical Pressure/([R]*Critical Temperature)
Compressibility Factor
Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)
Partial Pressure of Water Vapour
Go Partial Pressure = Pressure of Gas*1.8*Atmospheric Pressure*Temperature Difference/2700
Pressure
Go Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
Reduced Pressure
Go Reduced Pressure = Pressure/Critical Pressure
Mean Effective Pressure
Go Mean Effective Pressure = Work/Displacement

10+ Thermodynamics Properties Calculators

Change in Internal Energy of System
Go Change in Internal Energy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Volume*Temperature Difference
Enthalpy of System
Go System Enthalpy = Number of Moles of Ideal Gas*Molar Specific Heat Capacity at Constant Pressure*Temperature Difference
Absolute Temperature
Go Absolute Temperature = Heat from Low Temperature Reservoir/Heat from High Temperature Reservoir
Specific Gravity
Go Specific Gravity of Liquid 1 = Density of Substance/Water Density
Pressure
Go Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
Absolute Pressure
Go Absolute Pressure = Atmospheric Pressure+Vacuum Pressure
Specific Weight
Go Specific Weight Unit = Weight of Body/Volume
Specific Entropy
Go Specific Entropy = Entropy/Mass
Specific Volume
Go Specific Volume = Volume/Mass
Density
Go Density = Mass/Volume

Pressure Formula

Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2
P' = 1/3*ρgas*Vrms^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 gas) & Root Mean Square Velocity (Vrms) and hit the calculate button. Here is how the Pressure calculation can be explained with given input values -> 3.7E-8 = 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*ρgas*Vrms^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 gas) & Root Mean Square Velocity (Vrms). 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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