{"id":5759,"date":"2021-08-01T02:32:44","date_gmt":"2021-08-01T01:32:44","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5759"},"modified":"2024-05-10T12:18:04","modified_gmt":"2024-05-10T11:18:04","slug":"how-to-calculate-and-solve-for-diffusion-coefficient-mass-transfer","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-diffusion-coefficient-mass-transfer\/","title":{"rendered":"How to Calculate and Solve for Diffusion Coefficient | Mass Transfer"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents diffusion coefficient. To calculate diffusion coefficient, three essential parameters are needed and these parameters are Constant (BA<\/sub>), Boltzmann’s Constant (KB<\/sub>)<\/strong> and Temperature (T).<\/strong><\/p>\n

The formula for calculating diffusion coefficient:<\/strong><\/h3>\n

DA<\/sub>\u00a0= BA<\/sub>KB<\/sub>T<\/p>\n

Where:<\/p>\n

DA<\/sub>\u00a0= Diffusion Coefficient | Nernst-Einstein Equation
\nBA<\/sub>\u00a0= Constant
\nKB<\/sub>\u00a0= Boltzmann’s Constant
\nT = Temperature<\/p>\n

Let’s solve an example;
\nFind the diffusion coefficient when the constant is 21, the boltzmann’ s constant is 1.39e-23 and temperature is 12.<\/p>\n

This implies that;<\/p>\n

BA<\/sub> = Constant = 21
\nKB<\/sub> = Boltzmann’s Constant = 1.3806e-23
\nT = Temperature = 12<\/p>\n

DA<\/sub>\u00a0= BA<\/sub>KB<\/sub>T
\nThen, DA<\/sub> = (21)(1.38e-23)(12)
\nDA<\/sub> = 3.47<\/p>\n

Therefore, the diffusion coefficient is\u00a03.47e-21<\/b>\u00a0cm\u00b2\/s.<\/strong><\/p>\n

Calculating the Constant when the Diffusion Coefficient and the Temperature are Given<\/strong><\/h3>\n

BA<\/sub>\u00a0= DA<\/sub><\/sup> \/ KB<\/sub> x T<\/sub><\/p>\n

Where;<\/p>\n

BA<\/sub>\u00a0= Constant
\nDA<\/sub> = Diffusion Coefficient | Nernst-Einstein Equation
\nKB<\/sub>\u00a0= Boltzmann’s Constant
\nT = Temperature<\/p>\n

Let’s solve an example;
\nFind the constant when the diffusion coefficient is 10 and the temperature is 3.<\/p>\n

This implies that;<\/p>\n

DA<\/sub> = Diffusion Coefficient | Nernst-Einstein Equation = 10
\nKB<\/sub> = Boltzmann’s Constant = 1.3806e-23
\nT = Temperature = 12<\/p>\n

BA<\/sub>\u00a0= DA<\/sub><\/sup> \/ KB<\/sub> x T<\/sub>
\nSo, BA<\/sub>\u00a0= 10<\/sup> \/ 1.3806e-23 x 12<\/sub>
\nBA<\/sub>\u00a0= 10<\/sup> \/ 1.70e-9<\/sub>
\nBA<\/sub>\u00a0= 5.88e+9<\/p>\n

Therefore, the\u00a0constant\u00a0<\/strong>is\u00a05.88e+9.<\/strong><\/p>\n

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

Calculating Temperature when the Diffusion Coefficient and the Constant are Given<\/strong><\/h3>\n

T = DA<\/sub><\/sup> \/ BA<\/sub> x KB<\/sub><\/sub><\/p>\n

Where;<\/p>\n

T = Temperature
\nDA<\/sub>\u00a0= Diffusion Coefficient | Nernst-Einstein Equation
\nBA<\/sub>\u00a0= Constant
\nKB<\/sub> = Boltzmann’s Constant<\/p>\n

Let’s solve an example;
\nFind the temperature when the diffusion coefficient is 5 and the constant is 14.<\/p>\n

This implies that;<\/p>\n

DA<\/sub> = Diffusion Coefficient | Nernst-Einstein Equation = 15
\nBA<\/sub> = Constant = `4
\nKB<\/sub> = Boltzmann’s Constant = 1.380e-23<\/p>\n

T = DA<\/sub><\/sup> \/ BA<\/sub> x KB<\/sub><\/sub>
\nT = 15<\/sup> \/ 4 x 1.380e-23<\/sub>
\nSo, T = 15<\/sup> \/ 4 x 1.380e-23<\/sub>
\nT = 15<\/sup> \/ 5.66E-10<\/sub>
\nT = 2.65e+10<\/p>\n

Therefore, the\u00a0temperature\u00a0<\/strong>is\u00a02.65e+10 K.<\/strong><\/p>\n

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

How to Calculate Diffusion Coefficient Using Nickzom Calculator<\/strong><\/h3>\n

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

\n

To get the answer and workings of the diffusion coefficient 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\u00a0Diffusion Coefficient <\/strong>under\u00a0Mass Transfer<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the diffusion coefficient according to the respective parameter which is the Constant (BA<\/sub>), Boltzmann’s Constant (KB<\/sub>)<\/strong> and Temperature (T).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Constant (BA<\/sub>)<\/strong> is 12<\/strong>, Boltzmann’s Constant (KB<\/sub>)\u00a0<\/strong>is\u00a01.3806e-23<\/strong>\u00a0and Temperature (T)<\/strong> is 12<\/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 diffusion coefficient and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents diffusion coefficient. To calculate diffusion coefficient, three essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":14762,"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":[1634,875,1560,60,1635,543,75],"class_list":["post-5759","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-boltzmann-constant","tag-constant","tag-diffusion-coefficient","tag-engineering","tag-mass-transfer","tag-materials-and-metallurgical","tag-temperature","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Diffusion Coefficient | Mass Transfer<\/title>\n<meta name=\"description\" content=\"Learn the accurate step by step guide on How to Calculate Diffusion Coefficient in Mass Transfer. 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