{"id":8069,"date":"2022-12-11T10:40:30","date_gmt":"2022-12-11T09:40:30","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8069"},"modified":"2024-05-31T10:04:52","modified_gmt":"2024-05-31T09:04:52","slug":"how-to-calculate-and-solve-for-calculate-the-number-of-degree-of-freedom-gibbs-phase-rule","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/11\/how-to-calculate-and-solve-for-calculate-the-number-of-degree-of-freedom-gibbs-phase-rule\/","title":{"rendered":"How to Calculate the Number of Degree of Freedom | Gibbs Phase Rule"},"content":{"rendered":"<p>The image of the number of degree of freedom is represented below. To calculate the number of degree of freedom, three essential parameters are needed and these parameters are <strong>Number of Phases Present (P), Number of Components in System (C)<\/strong> and <strong>Number of Non-Compositional Variables (N).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-full wp-image-8082\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/number-of-degree-of-freedom.png\" alt=\"\" width=\"257\" height=\"196\" \/><\/p>\n<h3><strong>The formula for calculating number of degree of freedom:<\/strong><\/h3>\n<p>F = (C + N) &#8211; P<\/p>\n<p>Where:<\/p>\n<p>F = Number of Degree of Freedom<br \/>\nP = <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/11\/how-to-calculate-and-solve-for-calculate-the-number-of-phases-present-gibbs-phase-rule\/\">Number of Phases Present<\/a><br \/>\nC = <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/11\/how-to-calculate-and-solve-for-calculate-the-number-of-components-in-system-gibbs-phase-rule\/\">Number of Components in System<\/a><br \/>\nN = <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/11\/how-to-calculate-and-solve-for-calculate-the-number-of-non-compositional-variables-gibbs-phase-rule\/\">Number of Non-Compositional Variables<\/a><\/p>\n<p>Let&#8217;s solve an example;<br \/>\nGiven that the number of phases present is 5, the number of components in system is 15 and the number of non-compositional variables is 2.<\/p>\n<p>This implies that;<\/p>\n<p>P = Number of Phases Present = 5<br \/>\nC = Number of Components in System = 15<br \/>\nN = Number of Non-Compositional Variables = 2<\/p>\n<p>F = (C + N) &#8211; P<br \/>\nF = (15 + 2) &#8211; 5<br \/>\nSo, F = 17 &#8211; 5<br \/>\nF = 12<\/p>\n<p>Therefore, the\u00a0<strong>number of degree of freedom\u00a0<\/strong>is\u00a0<strong>12.<\/strong><\/p>\n<h3><strong>How to Calculate the Number of Degree of Freedom Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the number of degree of freedom.<\/p>\n<div>\n<p>To get the answer and workings of the number of degree of freedom 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>Then, Click on <strong>Phase Transformation<\/strong><b>\u00a0<\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8001 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Gibbs Phase Rule<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Phase Transformation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8071 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-79.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-79.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-79-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-79-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-79-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Number of Degree of Freedom <\/strong>under\u00a0<strong>Gibbs Phase Rule<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8076 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-85.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-85.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-85-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-85-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-85-768x432.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 number of degree of freedom according to the respective parameter which is the <strong>Number of Phases Present (P), Number of Components in System (C)<\/strong> and <strong>Number of Non-Compositional Variables (N).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8077 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-86.png\" alt=\"How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-86.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-86-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-86-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-86-768x432.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>Number of Phases Present (P)<\/strong> is <strong>5<\/strong>,<strong> Number of Components in System (C) <\/strong>is\u00a0<strong>15<\/strong> and <strong>Number of Non-Compositional Variables (N)<\/strong> is <strong>2<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8078 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-87.png\" alt=\"How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-87.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-87-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-87-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-87-768x432.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-8079 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-88.png\" alt=\"How to Calculate and Solve for Calculate the Number of Degree of Freedom | Gibbs Phase Rule\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-88.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-88-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-88-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-88-768x432.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 number of degree of freedom and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image of the number of degree of freedom is represented below. To calculate the number of degree&hellip;","protected":false},"author":5,"featured_media":16255,"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":[60,2268,543,2265,2264,2266,2267,2244],"class_list":["post-8069","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-gibbs-phase-rule","tag-materials-and-metallurgical","tag-number-of-component-in-system","tag-number-of-degree-of-freedom","tag-number-of-non-compositional-variables","tag-number-of-phases-present","tag-phase-transformation","cs-entry"],"yoast_head":"<!-- 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