{"id":5788,"date":"2021-08-01T02:38:45","date_gmt":"2021-08-01T01:38:45","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5788"},"modified":"2024-05-06T07:36:56","modified_gmt":"2024-05-06T06:36:56","slug":"how-to-calculate-and-solve-for-activation-energy-of-diffusion-mass-transfer","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-activation-energy-of-diffusion-mass-transfer\/","title":{"rendered":"How to Calculate and Solve for Activation Energy of Diffusion | Mass Transfer"},"content":{"rendered":"

\"\"<\/p>\n

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).<\/p>\n

The formula for calculating activation energy of diffusion:<\/strong><\/h3>\n

Q = RTm<\/sub>(Ko<\/sub>\u00a0+ v)<\/p>\n

Where:<\/p>\n

Q = Activation Energy of Diffusion
\nR = Gas Constant
\nTm<\/sub>\u00a0= Melting Temperature of Metal
\nKo<\/sub>\u00a0= Constant that depends on Metal Crystal Structure
\nv = Normal Valence in Metal<\/p>\n

Let’s solve an example;
\nFind 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.<\/p>\n

This implies that;<\/p>\n

R = Gas Constant = 24
\nTm<\/sub> = Melting Temperature of Metal = 4
\nKo<\/sub> = Constant that depends on Metal Crystal Structure = 8
\nv = Normal Valence in Metal = 2<\/p>\n

Q = RTm<\/sub>(Ko<\/sub>\u00a0+ v)
\nThat is, Q = 24(4)(8 + 2)
\nQ = 24(4)(10)
\nQ = 960<\/p>\n

Therefore, the\u00a0activation energy of diffusion\u00a0<\/strong>is\u00a0960 J.<\/strong><\/p>\n

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<\/strong><\/h3>\n

R = Q<\/sup> \/ Tm<\/sub> (Ko<\/sub> + v)<\/sub><\/p>\n

Where;<\/p>\n

R = Gas Constant
\nQ = Activation Energy of Diffusion
\nTm<\/sub>\u00a0= Melting Temperature of Metal
\nKo<\/sub>\u00a0= Constant that depends on Metal Crystal Structure
\nv = Normal Valence in Metal<\/p>\n

Let’s solve an example;
\nGiven 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.<\/p>\n

This implies that;<\/p>\n

Q = Activation Energy of Diffusion = 9
\nTm<\/sub> = Melting Temperature of Metal = 5
\nKo<\/sub> = Constant that depends on Metal Crystal Structure = 14
\nv = Normal Valence in Metal = 7<\/p>\n

R = Q<\/sup> \/ Tm<\/sub> (Ko<\/sub> + v)<\/sub>
\nR = 9<\/sup> \/ 5 (14 + 7)<\/sub>
\nThen, R = 9<\/sup> \/ 5 (21)<\/sub>
\nR = 9<\/sup> \/ 105<\/sub>
\nR = 0.085<\/p>\n

Therefore, the\u00a0gas constant\u00a0<\/strong>is\u00a00.085.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Diffusion Coefficient | Mass Transfer<\/a><\/p>\n

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<\/strong><\/h3>\n

Tm<\/sub> = Q<\/sup> \/ R (Ko<\/sub> + v)<\/sub><\/p>\n

Where;<\/p>\n

Tm<\/sub>\u00a0= Melting Temperature of Metal
\nQ = Activation Energy of Diffusion
\nR = Gas Constant
\nKo<\/sub>\u00a0= Constant that depends on Metal Crystal Structure
\nv = Normal Valence in Metal<\/p>\n

Let’s solve an example;
\nFind 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.<\/p>\n

This implies that;<\/p>\n

Q = Activation Energy of Diffusion = 44
\nR = Gas Constant = 12
\nKo<\/sub> = Constant that depends on Metal Crystal Structure = 6
\nv = Normal Valence in Metal = 2<\/p>\n

Tm<\/sub> = Q<\/sup> \/ R (Ko<\/sub> + v)<\/sub>
\nTm<\/sub> = 44<\/sup> \/ 12 (6 + 2)<\/sub>
\nSo, Tm<\/sub> = 44<\/sup> \/ 12 (8)<\/sub>
\nTm<\/sub> = 44<\/sup> \/ 96<\/sub>
\nTm<\/sub> = 0.458<\/p>\n

Therefore, the\u00a0melting temperature of metal\u00a0<\/strong>is\u00a00.458.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Stokes-Einstein Equation of Diffusivity | Mass Transfer<\/a><\/p>\n

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<\/strong><\/h3>\n

Ko<\/sub> = (Q<\/sup> \/ RTm<\/sub><\/sub>) – v<\/p>\n

Where;<\/p>\n

Ko<\/sub>\u00a0= Constant that depends on Metal Crystal Structure
\nQ = Activation Energy of Diffusion
\nR = Gas Constant
\nTm<\/sub>\u00a0= Melting Temperature of Metal
\nv = Normal Valence in Metal<\/p>\n

Let’s solve an example;
\nFind 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.<\/p>\n

This implies that;<\/p>\n

Q = Activation Energy of Diffusion = 20
\nR = Gas Constant = 14
\nTm<\/sub> = Melting Temperature of Metal = 11
\nv = Normal Valence in Metal = 4<\/p>\n

Ko<\/sub> = (Q<\/sup> \/ RTm<\/sub><\/sub>) – v
\nKo<\/sub> = (20<\/sup> \/ (14)(11)<\/sub>) – 4
\nSo, Ko<\/sub> = (20<\/sup> \/ 154<\/sub>) – 4
\nKo<\/sub> = 0.129 – 4
\nKo<\/sub> = -3.87<\/p>\n

Therefore, the\u00a0constant that depends on metal crystal structure\u00a0<\/strong>is\u00a0-3.87.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Relationship between Electrical Conductivity and Diffusivity | Mass Transfer<\/a><\/p>\n

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<\/strong><\/h3>\n

v = (Q<\/sup> \/ RTm<\/sub><\/sub>) – Ko<\/sub><\/p>\n

Where;<\/p>\n

v = Normal Valence in Metal
\nQ = Activation Energy of Diffusion
\nR = Gas Constant
\nTm<\/sub>\u00a0= Melting Temperature of Metal
\nKo<\/sub> = Constant that depends on Metal Crystal Structure<\/p>\n

Let’s solve an example;
\nFind 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.<\/p>\n

This implies that;<\/p>\n

Q = Activation Energy of Diffusion = 24
\nR = Gas Constant = 10
\nTm<\/sub> = Melting Temperature of Metal = 8
\nKo<\/sub> = Constant that depends on Metal Crystal Structure = 12<\/p>\n

v = (Q<\/sup> \/ RTm<\/sub><\/sub>) – Ko<\/sub>
\nv = (24<\/sup> \/ (10)(8)<\/sub>) – 12
\nSo, v = (24<\/sup> \/ 80<\/sub>) – 12
\nv = 0.3 – 12
\nv = -11.7<\/p>\n

Therefore, the\u00a0normal valence in metal\u00a0<\/strong>is\u00a0-11.7.<\/strong><\/p>\n

How to Calculate Activation Energy of Diffusion With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the activation energy of diffusion.<\/p>\n

\n

To get the answer and workings of the activation energy of diffusion using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on\u00a0Mass Transport <\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Activation Energy of Diffusion <\/strong>under\u00a0Fuel and Furnaces<\/strong><\/p>\n

\"\"<\/p>\n

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<\/sub>), Constant that depends on Metal Crystal Structure (Ko<\/sub>)<\/strong> and Normal Valence in Metal (v).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Gas Constant (R)<\/strong> is 24<\/strong>, Melting Temperature of Metal (Tm<\/sub>)<\/strong> is 4<\/strong>, Constant that depends on Metal Crystal Structure (Ko<\/sub>)\u00a0<\/strong>is 8<\/strong>\u00a0and Normal Valence in Metal (v)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the activation energy of diffusion and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the activation energy of diffusion. To calculate the activation energy of diffusion, four essential…","protected":false},"author":5,"featured_media":14759,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[1645,1643,60,1639,1635,543,1642,1644],"class_list":["post-5788","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-activation-energy-of-diffusion","tag-constant-that-depends-on-meta-crystal-structure","tag-engineering","tag-gas-constant","tag-mass-transfer","tag-materials-and-metallurgical","tag-melting-temperature-of-metal","tag-normal-valence","cs-entry"],"yoast_head":"\nHow 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