{"id":30828,"date":"2021-06-18T13:00:18","date_gmt":"2021-06-18T13:00:18","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=30828"},"modified":"2025-01-02T03:13:28","modified_gmt":"2025-01-02T03:13:28","slug":"equation-and-state-function","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/","title":{"rendered":"Equation and State Function"},"content":{"rendered":"<style>\n    p, ul, ol {\n        text-align: justify;\n    }\n    h1, h2 {\n        text-align: center;\n    }\n<\/style>\n<h1>Equation and State Function<\/h1>\n<p style=\"text-align:center;\"><em>Thermodynamics reveals how to describe and connect the state of a system through concepts like state functions and equations. How are properties such as pressure, temperature, and the ideal gas equation related? This content will guide you to understand the mathematical and physical rules that govern the equilibrium of the universe, challenging your intuition and broadening your perspective.<\/em><\/p>\n<p style=\"text-align:center;\"><strong>Learning Objectives:<\/strong><br \/>\nBy the end of this class, the student will be able to<\/p>\n<ol>\n<li><strong>Describe<\/strong> the concept of a state function and its relationship with thermal equilibrium in thermodynamic systems.<\/li>\n<li><strong>Distinguish<\/strong> between state functions and magnitudes that are not state functions, identifying concrete examples of both categories.<\/li>\n<li><strong>Analyze<\/strong> how state equations, such as the ideal gas equation, connect state functions in systems at equilibrium.<\/li>\n<\/ol>\n<p style=\"text-align:center;\"><strong><u>TABLE OF CONTENTS<\/u>:<\/strong><br \/>\n<a href=\"#1\">The State Function and Systems in Thermal Equilibrium<\/a><br \/>\n<a href=\"#2\">The Equation and State Variables<\/a><br \/>\n<a href=\"#3\">Mathematical Notion of a State Function<\/a><br \/>\n<a href=\"#4\">The Ideal Gas Equation as a State Equation<\/a>\n<\/p>\n<p><center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/ZXX3KAS5WKs\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p>One of the key concepts of classical thermodynamics is the idea of state equations and state functions. Through these, we can describe the state of systems in thermodynamic equilibrium.<\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>The State Function and Systems in Thermal Equilibrium<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ZXX3KAS5WKs&amp;t=115s\" target=\"_blank\" rel=\"noopener\"><strong>In thermodynamics, a system is defined<\/strong><\/a> as the portion of the universe chosen for study, with the surroundings near the system. Recall that a system is in thermal equilibrium with its surroundings if its macroscopic observables (e.g., pressure, temperature) remain unchanged over time. For example, if we consider a gas inside a container and its temperature remains stable over time, then we say the gas is in thermodynamic equilibrium, and that set of macroscopic observables <strong>determines its state.<\/strong> Conversely, if a large amount of heat is suddenly applied to one side of the container, then at least for a while, the gas will be in a state distinct from thermal equilibrium, and its state will vary over time.<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h2>The Equation and State Variables<\/h2>\n<p><a href=\"https:\/\/www.youtube.com\/watch?v=ZXX3KAS5WKs&amp;t=115s\" target=\"_blank\" rel=\"noopener\"><strong>When a system is in thermal equilibrium<\/strong><\/a>, we can recognize two types of magnitudes: some depend on the way the system reached that equilibrium, and others are independent of such a process. The latter are what we call <strong>state functions<\/strong> (sometimes referred to as <strong>state variables<\/strong>). A state function is any physical quantity with a well-defined value for each equilibrium state of the system. Thus, in thermal equilibrium, these variables do not depend on time. Some examples include:<\/p>\n<ul>\n<li>pressure<\/li>\n<li>temperature<\/li>\n<li>volume<\/li>\n<li>internal energy<\/li>\n<\/ul>\n<p>Examples of quantities that are not state functions include the position of particle number \u00abumpteenth\u00bb in the system, the total work, and heat applied to the system. This can be understood intuitively by observing that your hands can reach the same temperature (and therefore the same state) through two different processes: one by applying a certain amount of work, rubbing them together, or by applying heat, placing your hands in warm water.<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>Mathematical Notion of a State Function<\/h2>\n<p>With these intuitive ideas, to achieve a more complete understanding, we only need a more mathematical development of what lies behind a state function. Consider a system as being described by a vector of parameters <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}=(x_1, x_2, x_3, \\cdots)<\/span>, and let <span class=\"katex-eq\" data-katex-display=\"false\">f(\\vec{x})<\/span> be a state function. Then, if the system&#8217;s parameters change from an initial value <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}_i<\/span> to a final value <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}_f<\/span>, the variation of the function <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> will be:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Delta f = \\displaystyle \\int_{\\vec{x}_i}^{\\vec{x}_f}df = f(\\vec{x}_f) - f(\\vec{x}_i)<\/span>\n<p>If things occur in this way, the variation of the state function only depends on the initial and final values of <span class=\"katex-eq\" data-katex-display=\"false\">\\vec{x}.<\/span> This happens when the quantity <span class=\"katex-eq\" data-katex-display=\"false\">df<\/span> is an <strong>exact differential.<\/strong> All state functions have exact differentials; conversely, a quantity whose differential is not exact cannot be a state function.<\/p>\n<p><a name=\"4\"><\/a><\/p>\n<h2>The Ideal Gas Equation as a State Equation<\/h2>\n<p>In general, it is always possible to find, at least approximately, a state equation that connects state functions. An example is the <a href=\"https:\/\/toposuranos.com\/la-ecuacion-de-los-gases-ideales\/\" rel=\"noopener\" target=\"_blank\">ideal gas equation of state<\/a> <span class=\"katex-eq\" data-katex-display=\"false\">f(P,V,T)=0<\/span>, which takes the form:<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">f(P,V,T) = PV - nRT = 0<\/span>\n","protected":false},"excerpt":{"rendered":"<p>Equation and State Function Thermodynamics reveals how to describe and connect the state of a system through concepts like state functions and equations. How are properties such as pressure, temperature, and the ideal gas equation related? This content will guide you to understand the mathematical and physical rules that govern the equilibrium of the universe, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":30827,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"iawp_total_views":19,"footnotes":""},"categories":[635,919],"tags":[],"citadela-post-location":[],"class_list":["post-30828","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics","category-thermodynamics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Equation and State Function - toposuranos.com\/material<\/title>\n<meta name=\"description\" content=\"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Equation and State Function\" \/>\n<meta property=\"og:description\" content=\"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/\" \/>\n<meta property=\"og:site_name\" content=\"toposuranos.com\/material\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/groups\/toposuranos\" \/>\n<meta property=\"article:published_time\" content=\"2021-06-18T13:00:18+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-01-02T03:13:28+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado-1024x585.jpg\" \/>\n<meta name=\"author\" content=\"giorgio.reveco\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Equation and State Function\" \/>\n<meta name=\"twitter:description\" content=\"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg\" \/>\n<meta name=\"twitter:creator\" content=\"@topuranos\" \/>\n<meta name=\"twitter:site\" content=\"@topuranos\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"giorgio.reveco\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tiempo de lectura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/\"},\"author\":{\"name\":\"giorgio.reveco\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\"},\"headline\":\"Equation and State Function\",\"datePublished\":\"2021-06-18T13:00:18+00:00\",\"dateModified\":\"2025-01-02T03:13:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/\"},\"wordCount\":703,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2025\\\/01\\\/ecuaciondeestado.jpg\",\"articleSection\":[\"Physics\",\"Thermodynamics\"],\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/\",\"name\":\"Equation and State Function - toposuranos.com\\\/material\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2025\\\/01\\\/ecuaciondeestado.jpg\",\"datePublished\":\"2021-06-18T13:00:18+00:00\",\"dateModified\":\"2025-01-02T03:13:28+00:00\",\"description\":\"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#breadcrumb\"},\"inLanguage\":\"es\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#primaryimage\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2025\\\/01\\\/ecuaciondeestado.jpg\",\"contentUrl\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2025\\\/01\\\/ecuaciondeestado.jpg\",\"width\":1792,\"height\":1024,\"caption\":\"Ecuaci\u00f3n de estado, Equation of state, Equa\u00e7\u00e3o de estado, \u72b6\u6001\u65b9\u7a0b, \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062d\u0627\u0644\u0629, \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u092e\u0940\u0915\u0930\u0923, \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f, \u00c9quation d'\u00e9tat\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/en\\\/equation-and-state-function\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/es\\\/cursos-de-matematica-y-fisica\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Equation and State Function\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#website\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"name\":\"toposuranos.com\\\/material\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"es\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#organization\",\"name\":\"toposuranos.com\\\/material\",\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/logo.png\",\"width\":2400,\"height\":2059,\"caption\":\"toposuranos.com\\\/material\"},\"image\":{\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/groups\\\/toposuranos\",\"https:\\\/\\\/x.com\\\/topuranos\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC16yDm12cPcrwsE0fAM7X1g\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/69429190\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/#\\\/schema\\\/person\\\/e15164361c3f9a2a02cf6c234cf7fdc1\",\"name\":\"giorgio.reveco\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"es\",\"@id\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"url\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"contentUrl\":\"http:\\\/\\\/toposuranos.com\\\/material\\\/wp-content\\\/uploads\\\/2023\\\/10\\\/1694478625378-96x96.jpeg\",\"caption\":\"giorgio.reveco\"},\"description\":\"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.\",\"sameAs\":[\"http:\\\/\\\/toposuranos.com\\\/material\"],\"url\":\"https:\\\/\\\/toposuranos.com\\\/material\\\/author\\\/giorgio-reveco\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Equation and State Function - toposuranos.com\/material","description":"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/","og_locale":"es_ES","og_type":"article","og_title":"Equation and State Function","og_description":"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.","og_url":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/","og_site_name":"toposuranos.com\/material","article_publisher":"https:\/\/www.facebook.com\/groups\/toposuranos","article_published_time":"2021-06-18T13:00:18+00:00","article_modified_time":"2025-01-02T03:13:28+00:00","og_image":[{"url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado-1024x585.jpg","type":"","width":"","height":""}],"author":"giorgio.reveco","twitter_card":"summary_large_image","twitter_title":"Equation and State Function","twitter_description":"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.","twitter_image":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg","twitter_creator":"@topuranos","twitter_site":"@topuranos","twitter_misc":{"Escrito por":"giorgio.reveco","Tiempo de lectura":"1 minuto"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#article","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/"},"author":{"name":"giorgio.reveco","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1"},"headline":"Equation and State Function","datePublished":"2021-06-18T13:00:18+00:00","dateModified":"2025-01-02T03:13:28+00:00","mainEntityOfPage":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/"},"wordCount":703,"commentCount":0,"publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"image":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg","articleSection":["Physics","Thermodynamics"],"inLanguage":"es","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/","url":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/","name":"Equation and State Function - toposuranos.com\/material","isPartOf":{"@id":"https:\/\/toposuranos.com\/material\/#website"},"primaryImageOfPage":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#primaryimage"},"image":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#primaryimage"},"thumbnailUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg","datePublished":"2021-06-18T13:00:18+00:00","dateModified":"2025-01-02T03:13:28+00:00","description":"What is the Equation of State? It is the key to connecting pressure, temperature, and volume, explaining equilibrium in thermodynamic systems and ideal gases.","breadcrumb":{"@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#breadcrumb"},"inLanguage":"es","potentialAction":[{"@type":"ReadAction","target":["https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/"]}]},{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#primaryimage","url":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg","contentUrl":"https:\/\/toposuranos.com\/material\/wp-content\/uploads\/2025\/01\/ecuaciondeestado.jpg","width":1792,"height":1024,"caption":"Ecuaci\u00f3n de estado, Equation of state, Equa\u00e7\u00e3o de estado, \u72b6\u6001\u65b9\u7a0b, \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062d\u0627\u0644\u0629, \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u092e\u0940\u0915\u0930\u0923, \u0423\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0441\u043e\u0441\u0442\u043e\u044f\u043d\u0438\u044f, \u00c9quation d'\u00e9tat"},{"@type":"BreadcrumbList","@id":"https:\/\/toposuranos.com\/material\/en\/equation-and-state-function\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/toposuranos.com\/material\/es\/cursos-de-matematica-y-fisica\/"},{"@type":"ListItem","position":2,"name":"Equation and State Function"}]},{"@type":"WebSite","@id":"https:\/\/toposuranos.com\/material\/#website","url":"https:\/\/toposuranos.com\/material\/","name":"toposuranos.com\/material","description":"","publisher":{"@id":"https:\/\/toposuranos.com\/material\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/toposuranos.com\/material\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"es"},{"@type":"Organization","@id":"https:\/\/toposuranos.com\/material\/#organization","name":"toposuranos.com\/material","url":"https:\/\/toposuranos.com\/material\/","logo":{"@type":"ImageObject","inLanguage":"es","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/logo.png","width":2400,"height":2059,"caption":"toposuranos.com\/material"},"image":{"@id":"https:\/\/toposuranos.com\/material\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/groups\/toposuranos","https:\/\/x.com\/topuranos","https:\/\/www.youtube.com\/channel\/UC16yDm12cPcrwsE0fAM7X1g","https:\/\/www.linkedin.com\/company\/69429190"]},{"@type":"Person","@id":"https:\/\/toposuranos.com\/material\/#\/schema\/person\/e15164361c3f9a2a02cf6c234cf7fdc1","name":"giorgio.reveco","image":{"@type":"ImageObject","inLanguage":"es","@id":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","url":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","contentUrl":"http:\/\/toposuranos.com\/material\/wp-content\/uploads\/2023\/10\/1694478625378-96x96.jpeg","caption":"giorgio.reveco"},"description":"Soy Licenciado en F\u00edsica, Magister en Ingenier\u00eda Industrial y Docente Universitario. Me dedico a desmitificar la f\u00edsica y las matem\u00e1ticas. Mi objetivo es hacer que estos campos sean f\u00e1cilmente comprensibles para todos, proporcionando las herramientas para explorar no solo el mundo que nos rodea, sino tambi\u00e9n las profundidades de nuestra propia existencia y el orden natural que nos conecta con el cosmos.","sameAs":["http:\/\/toposuranos.com\/material"],"url":"https:\/\/toposuranos.com\/material\/author\/giorgio-reveco\/"}]}},"_links":{"self":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/30828","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/comments?post=30828"}],"version-history":[{"count":0,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/posts\/30828\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media\/30827"}],"wp:attachment":[{"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/media?parent=30828"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/categories?post=30828"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/tags?post=30828"},{"taxonomy":"citadela-post-location","embeddable":true,"href":"https:\/\/toposuranos.com\/material\/wp-json\/wp\/v2\/citadela-post-location?post=30828"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}