The image above represents the activation energy of diffusion. To calculate the activation energy of diffusion, four essential parameters are needed, and these parameters are Gas Constant (R), Melting Temperature of Metal (Tm), Constant that depends on Metal Crystal Structure (Ko), and Normal Valence in Metal (v).
The formula for calculating activation energy of diffusion:
Q = RTm(Ko + v)
Where:
Q = Activation Energy of Diffusion
R = Gas Constant
Tm = Melting Temperature of Metal
Ko = Constant that depends on Metal Crystal Structure
v = Normal Valence in Metal
Let’s solve an example;
Find the activation energy of diffusion when the gas constant is 24, the melting temperature of metal is 4, the constant that depends on metal crystal structure is 8 and the normal valence in metal is 2.
This implies that;
R = Gas Constant = 24
Tm = Melting Temperature of Metal = 4
Ko = Constant that depends on Metal Crystal Structure = 8
v = Normal Valence in Metal = 2
Q = RTm(Ko + v)
That is, Q = 24(4)(8 + 2)
Q = 24(4)(10)
Q = 960
Therefore, the activation energy of diffusion is 960 J.
Calculating the Gas Constant when the Activation Energy of Diffusion, the Melting Temperature of Metal, the Constant that depends on Metal Crystal Structure and the Normal Valence in Metal are Given
R = Q / Tm (Ko + v)
Where;
R = Gas Constant
Q = Activation Energy of Diffusion
Tm = Melting Temperature of Metal
Ko = Constant that depends on Metal Crystal Structure
v = Normal Valence in Metal
Let’s solve an example;
Given that the activation energy of diffusion is 9, the melting temperature is 5, the constant that depends on metal crystal structure is 14 and the normal valence in metal is 7.
This implies that;
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Q = Activation Energy of Diffusion = 9
Tm = Melting Temperature of Metal = 5
Ko = Constant that depends on Metal Crystal Structure = 14
v = Normal Valence in Metal = 7
R = Q / Tm (Ko + v)
R = 9 / 5 (14 + 7)
Then, R = 9 / 5 (21)
R = 9 / 105
R = 0.085
Therefore, the gas constant is 0.085.
Read more:Â How to Calculate and Solve for Diffusion Coefficient | Mass Transfer
Calculating the Melting Temperature of Metal when the Activation Energy of Diffusion, the Gas Constant, the Constant that depends on Metal Crystal Structure and the Normal Valence in Metal are Given
Tm = Q / R (Ko + v)
Where;
Tm = Melting Temperature of Metal
Q = Activation Energy of Diffusion
R = Gas Constant
Ko = Constant that depends on Metal Crystal Structure
v = Normal Valence in Metal
Let’s solve an example;
Find the melting temperature of metal when the activation energy of diffusion is 44, the gas constant is 12, the constant that depends on metal crystal structure is 6 and the normal valence in metal is 2.
This implies that;
Q = Activation Energy of Diffusion = 44
R = Gas Constant = 12
Ko = Constant that depends on Metal Crystal Structure = 6
v = Normal Valence in Metal = 2
Tm = Q / R (Ko + v)
Tm = 44 / 12 (6 + 2)
So, Tm = 44 / 12 (8)
Tm = 44 / 96
Tm = 0.458
Therefore, the melting temperature of metal is 0.458.
Read more:Â How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer
Calculating the Constant that depends on Metal Crystal Structure when the Activation Energy of Diffusion, the Gas Constant, the Melting Temperature of Metal and the Normal Valence in Metal are Given
Ko = (Q / RTm) – v
Where;
Ko = Constant that depends on Metal Crystal Structure
Q = Activation Energy of Diffusion
R = Gas Constant
Tm = Melting Temperature of Metal
v = Normal Valence in Metal
Let’s solve an example;
Find the constant that depends on metal crystal structure when the activation energy of diffusion is 20, the gas constant is 14, the melting temperature of metal is 11 and the normal valence in metal is 4.
This implies that;
Q = Activation Energy of Diffusion = 20
R = Gas Constant = 14
Tm = Melting Temperature of Metal = 11
v = Normal Valence in Metal = 4
Ko = (Q / RTm) – v
Ko = (20 / (14)(11)) – 4
So, Ko = (20 / 154) – 4
Ko = 0.129 – 4
Ko = -3.87
Therefore, the constant that depends on metal crystal structure is -3.87.
Read more:Â How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer
Calculating the Normal Valence in Metal when the Activation Energy of Diffusion, the Gas Constant, the Melting Temperature of Metal and the Constant that depends on Metal Crystal Structure are Given
v = (Q / RTm) – Ko
Where;
v = Normal Valence in Metal
Q = Activation Energy of Diffusion
R = Gas Constant
Tm = Melting Temperature of Metal
Ko = Constant that depends on Metal Crystal Structure
Let’s solve an example;
Find the normal valence in metal when the activation energy of diffusion is 24, the gas constant is 10, the melting temperature of metal is 8 and the constant that depends on metal crystal structure is 12.
This implies that;
Q = Activation Energy of Diffusion = 24
R = Gas Constant = 10
Tm = Melting Temperature of Metal = 8
Ko = Constant that depends on Metal Crystal Structure = 12
v = (Q / RTm) – Ko
v = (24 / (10)(8)) – 12
So, v = (24 / 80) – 12
v = 0.3 – 12
v = -11.7
Therefore, the normal valence in metal is -11.7.
How to Calculate Activation Energy of Diffusion With Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the activation energy of diffusion.
To get the answer and workings of the activation energy of diffusion 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
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum 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 Mass Transport under Materials and Metallurgical
Now, Click on Activation Energy of Diffusion under Fuel and Furnaces
The screenshot below displays the page or activity to enter your values, to get the answer for the activation energy of diffusion according to the respective parameter which is the Gas Constant (R), Melting Temperature of Metal (Tm), Constant that depends on Metal Crystal Structure (Ko) and Normal Valence in Metal (v).
Now, enter the values appropriately and accordingly for the parameters as required by the Gas Constant (R) is 24, Melting Temperature of Metal (Tm) is 4, Constant that depends on Metal Crystal Structure (Ko)Â is 8Â and Normal Valence in Metal (v) is 2.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the activation energy of diffusion and presents the formula, workings and steps too.
