The image above represents the average speed of gases. To calculate the average speed of gases, three essential parameters are needed and these parameters are Boltzmann’s Constant (KB), Absolute Temperature (T) and Number of Molecules (m).
The formula for calculating the average speed of gases:
v’ = (8KBT / Ï€m)0.5
Where:
v’ = Average Speed of Gases
KB = Boltzmann’s Constant
T = Absolute Temperature
m = Number of Molecules
Let’s solve an example;
Find the average speed of gases when the boltzmann’s constant is 1.380E-23, the absolute temperature is 12 and the number of molecules is 2.
This implies that;
KB = Boltzmann’s Constant = 1.380E-23
T = Absolute Temperature = 12
m = Number of Molecules = 2
v’ = (8KBT / Ï€m)0.5
v’ = (8(1.3806e-23)(12) / 3.142(2))0.5
So, v’ = (1.325e-21 / 6.2831)0.5
v’ = (2.109e-22)0.5
v’ = 1.45e-11
Therefore, the average speed of gases is 1.45e-11 m/s.
Read more:Â How to Calculate and Solve for Viscosity | Non Polar Gases | Transport Phenomena
How to Calculate the Average Speed of Gases Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the average speed of gases.
To get the answer and workings of the average speed of gases using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
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To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.
Now, Click on Transport Phenomena under Materials and Metallurgical
Now, Click on Average Speed of Gases under Transport Phenomena
The screenshot below displays the page or activity to enter your values, to get the answer for the average speed of gases according to the respective parameter which is the Boltzmann’s Constant (KB), Absolute Temperature (T) and Number of Molecules (m).
Now, enter the values appropriately and accordingly for the parameters as required by the Boltzmann’s Constant (KB) is 1.380E-23, Absolute Temperature (T) is 12 and Number of Molecules (m) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the average speed of gases and presents the formula, workings and steps too.
