{"id":8757,"date":"2023-01-12T09:05:26","date_gmt":"2023-01-12T08:05:26","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8757"},"modified":"2024-06-08T20:41:54","modified_gmt":"2024-06-08T19:41:54","slug":"how-to-calculate-and-solve-for-diffusion-coefficient-at-constant-temperature-diffusion-in-alloying","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/12\/how-to-calculate-and-solve-for-diffusion-coefficient-at-constant-temperature-diffusion-in-alloying\/","title":{"rendered":"How to Calculate and Solve for Diffusion Coefficient at Constant Temperature | Diffusion in Alloying"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-8760\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/diffusion-coefficient-at-constant-temperature.jpg\" alt=\"\" width=\"289\" height=\"174\" \/><\/p>\n<p>The above image represents the diffusion coefficient at constant temperature. To calculate diffusion coefficient at constant temperature, four essential parameters are needed and these parameters are <strong>Activation Energy of Diffusion (Qd), Gas Constant (R), Temperature (T)\u00a0<\/strong>and\u00a0<strong>Constant that Varies with Metal Properties (D<sub>o<\/sub>).<\/strong><\/p>\n<h3><strong>The formula for calculating diffusion coefficient at constant temperature:<\/strong><\/h3>\n<p>D = D<sub>o<\/sub>exp(-<sup>Qd<\/sup>\/<sub>RT<\/sub>)<\/p>\n<p>Where:<\/p>\n<p>D = Diffusion Coefficient at Constant Temperature<br \/>\nQd = <a href=\"https:\/\/www.nickzom.org\/blog\/2021\/08\/01\/how-to-calculate-and-solve-for-activation-energy-of-diffusion-mass-transfer\/\">Activation Energy of Diffusion<\/a><br \/>\nR = Gas Constant<br \/>\nT = Temperature<br \/>\nD<sub>o<\/sub>\u00a0= Constant that Varies with Metal Properties<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the diffusion coefficient at constant temperature when the activation energy of diffusion is 10, the gas constant is 8, the temperature is 12 and the constant that varies with metal properties is 4.<\/p>\n<p>This implies that;<\/p>\n<p>Qd = Activation Energy of Diffusion = 10<br \/>\nR = Gas Constant = 8<br \/>\nT = Temperature = 12<br \/>\nD<sub>o<\/sub> = Constant that Varies with Metal Properties = 4<\/p>\n<p>Then, D = D<sub>o<\/sub>exp(-<sup>Qd<\/sup>\/<sub>RT<\/sub>)<br \/>\nD = 4exp(-<sup>(10)<\/sup>\/<sub>(8)(12)<\/sub>)<br \/>\nThat is, D = 4exp(-<sup>(10)<\/sup>\/<sub>(96)<\/sub>)<br \/>\nD = 4exp(-(0.10416666666666667))<br \/>\nD = 4exp(-0.10416666666666667)<br \/>\nSo, D = 4(0.9010751057212906)<br \/>\nD = 3.60<\/p>\n<p>Therefore, the\u00a0<strong>diffusion coefficient at constant temperature\u00a0<\/strong>is\u00a0<strong>3.60m\u00b2\/s.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2023\/01\/12\/how-to-calculate-and-solve-for-diffusion-coefficients-diffusion-in-alloying\/\">How to Calculate and Solve for Diffusion Coefficients | Diffusion in Alloying<\/a><\/p>\n<h3><strong>How to Calculate Diffusion Coefficient at Constant Temperature Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the diffusion coefficient at constant temperature.<\/p>\n<div>\n<p>To get the answer and workings of the diffusion coefficient at constant temperature using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p><strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-2.png\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Diffusion In Alloying<\/strong><b>\u00a0<\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8737 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-118.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-118.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-118-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-118-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-118-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Diffusion Coefficient at Constant Temperature<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Diffusion In Alloying<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8802 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-151.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-151.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-151-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-151-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-151-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the Diffusion Coefficient at Constant Temperature according to the respective parameter which is the <strong>Activation Energy of Diffusion (Qd), Gas Constant (R), Temperature (T)\u00a0<\/strong>and\u00a0<strong>Constant that Varies with Metal Properties (D<sub>o<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8803 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-152.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-152.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-152-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-152-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-152-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Activation Energy of Diffusion (Qd)<\/strong> is <strong>10<\/strong>,<strong> Gas Constant (R)<\/strong> is <strong>8<\/strong>,<strong> Temperature (T)<\/strong> is <strong>12 <\/strong>and <strong>Constant that Varies with Metal Properties (D<sub>o<\/sub>)<\/strong> is <strong>4<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8804 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-153.png\" alt=\"How to Calculate and Solve for Diffusion Coefficient at Constant Temperature | Diffusion in Alloying\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-153.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-153-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-153-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-153-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8805 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-154.png\" alt=\"How to Calculate and Solve for Diffusion Coefficient at Constant Temperature | Diffusion in Alloying\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-154.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-154-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-154-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-154-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-8806 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-155.png\" alt=\"How to Calculate and Solve for Diffusion Coefficient at Constant Temperature | Diffusion in Alloying\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-155.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-155-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-155-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2023\/01\/Screenshot-155-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from\u00a0the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the diffusion coefficient at constant temperature and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The above image represents the diffusion coefficient at constant temperature. To calculate diffusion coefficient at constant temperature, four&hellip;","protected":false},"author":5,"featured_media":16742,"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":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[1645,2402,2403,2388,60,1639,543,75],"class_list":["post-8757","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-activation-energy-of-diffusion","tag-constant-that-varies-with-metal-properties","tag-diffusion-coefficient-at-constant-temperature","tag-diffusion-in-alloying","tag-engineering","tag-gas-constant","tag-materials-and-metallurgical","tag-temperature","cs-entry"],"yoast_head":"<!-- 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