{"id":665919,"date":"2023-07-31T11:32:25","date_gmt":"2023-07-31T06:02:25","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=665919"},"modified":"2025-05-15T17:22:19","modified_gmt":"2025-05-15T11:52:19","slug":"newtons-law-of-cooling-formula-derivation-and-limitations","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/","title":{"rendered":"Newton\u2019s Law of Cooling: Formula, Derivation and Limitations"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#Newtons_Law_of_Cooling_Formula\" title=\"Newton\u2019s Law of Cooling Formula\">Newton\u2019s Law of Cooling Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#Limitations_of_Newtons_Law_of_Cooling\" title=\"Limitations of Newton\u2019s Law of Cooling\">Limitations of Newton\u2019s Law of Cooling<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#FAQs_on_Newtons_law_of_cooling\" title=\"FAQs on Newton&#8217;s law of cooling\">FAQs on Newton&#8217;s law of cooling<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#What_is_Newtons_law_of_cooling_by_convection_short_note\" title=\"What is Newton&#039;s law of cooling by convection short note?\">What is Newton&#039;s law of cooling by convection short note?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#Why_is_Newtons_law_of_cooling_important\" title=\"Why is Newton&#039;s law of cooling important?\">Why is Newton&#039;s law of cooling important?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#What_are_the_limitations_of_Newtons_law_of_cooling_Class_11\" title=\"What are the limitations of Newton&#039;s law of cooling Class 11?\">What are the limitations of Newton&#039;s law of cooling Class 11?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><strong>Newton&#8217;s Law<\/strong> of Cooling is a fundamental principle in physics that describes the cooling of an object due to the temperature difference between the object and its surroundings. It was formulated by Sir <a href=\"https:\/\/infinitylearn.com\/surge\/science\/isaac-newton\/\"><strong>Isaac Newton<\/strong><\/a> in the 17th century and is commonly applied to various cooling and heating processes.<\/p>\n<p>The law states that the rate of change of the temperature of an object is directly proportional to the temperature difference between the object and its surroundings.<\/p>\n<p>Newton\u2019s Law of cooling is given by<\/p>\n<p>dT \/ dt = k(T<sub>t<\/sub> &#8211; T<sub>s<\/sub>)<\/p>\n<p>Where,<\/p>\n<p>T is the time<br \/>\nT<sub>t<\/sub> is temperature of given body at time t<br \/>\nT<sub>s<\/sub> is the surrounding temperature<br \/>\nT<sub>o<\/sub> is initial temperature of the body<br \/>\nK is the constant<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Newtons_Law_of_Cooling_Formula\"><\/span>Newton\u2019s Law of Cooling Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The greater the difference in temperature between an object and its surroundings, the faster heat is transferred, causing the object&#8217;s temperature to change more quickly.<\/p>\n<p>The formula for Newton\u2019s law of cooling is expressed by,<\/p>\n<p>T(t) = T<sub>s<\/sub> + (T<sub>o<\/sub> &#8211; T<sub>s<\/sub>)e<sup>-kt<\/sup><\/p>\n<p>Where,<\/p>\n<p>t is the time<br \/>\nT (t) is the temperature of the given body at that time<br \/>\nTs is the surrounding temperature<br \/>\nTo is the initial temperature of the body<br \/>\nK is the constant<\/p>\n<p>Newton\u2019s Law of Cooling Derivation<\/p>\n<p>When there&#8217;s only a slight temperature difference between an object and its surroundings, the rate at which the object cools down is directly related to both the temperature difference and the amount of its surface area that is exposed.<\/p>\n<p>dQ \/ dt \u221d (q &#8211; q<sub>s<\/sub>)<\/p>\n<p>Where, q and qs are temperatures of the object and the surrounding.<\/p>\n<p>From the above expression, dQ \/ dt = &#8211; k (q &#8211; q<sub>s<\/sub>)<\/p>\n<p>The above expression represents Newton\u2019s law of cooling.<\/p>\n<p>The derivation of Newton&#8217;s law of cooling can be done directly from <a href=\"https:\/\/infinitylearn.com\/surge\/science\/stefans-law\/\"><strong>Stefan\u2019s law<\/strong><\/a>, given by,<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-665921 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png\" alt=\"derivation of Newton's law of cooling\" width=\"315\" height=\"421\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png 315w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling-224x300.png 224w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><br \/>\n<a href=\"https:\/\/infinitylearn.com\/surge\/articles\/physics-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Physics Articles<br \/>\n<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/physics-formulas\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Physics Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/faradays-law\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Faraday&#8217;s law<\/button><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Limitations_of_Newtons_Law_of_Cooling\"><\/span>Limitations of Newton\u2019s Law of Cooling<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Newton&#8217;s Law of Cooling, while a valuable approximation in certain situations, has its limitations and may not fully capture the complexities of all cooling processes. Some of its limitations include:<\/p>\n<ul>\n<li><strong>Linear approximation:<\/strong> Newton&#8217;s Law assumes a linear relationship between the rate of cooling and the temperature difference. In reality, the cooling process might not always follow a linear pattern, especially if the temperature difference is significant.<\/li>\n<li><strong>Constant cooling constant:<\/strong> The law assumes a constant cooling constant (k) throughout the cooling process. In many cases, the cooling constant might vary with temperature or other environmental factors, making the law less accurate for extended periods or varying conditions.<\/li>\n<li><strong>Neglecting internal heat sources:<\/strong> The law assumes that the only heat exchange occurs between the object and its surroundings. However, in some situations, there might be internal heat sources (e.g., chemical reactions or electrical processes) that are not accounted for.<\/li>\n<li><strong>Limited to conduction and convection:<\/strong> Newton&#8217;s Law is primarily applicable to heat transfer through conduction and convection. It may not fully account for radiative heat transfer, which can be significant in certain scenarios.<\/li>\n<li><strong>Homogeneous medium assumption:<\/strong> The law assumes a homogeneous and isotropic medium for heat transfer. In real-world scenarios, the surrounding medium might not be uniform, which could affect the accuracy of predictions.<\/li>\n<li><strong>Initial temperature assumption:<\/strong> The law assumes that the initial temperature of the object is significantly higher or lower than the surroundings. If the initial temperature difference is small, the law&#8217;s applicability may be limited.<\/li>\n<\/ul>\n<p>Despite these limitations, Newton&#8217;s Law of Cooling remains a valuable and simple tool for estimating cooling behavior in many practical situations. For more complex scenarios, more sophisticated models and equations are used to account for the specific factors influencing the cooling process.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Newtons_law_of_cooling\"><\/span>FAQs on Newton&#8217;s law of cooling<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_Newtons_law_of_cooling_by_convection_short_note\"><\/span>What is Newton&#039;s law of cooling by convection short note?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNewton's Law of Cooling by convection states that the rate of cooling of an object is directly proportional to the temperature difference between the object and its surroundings when cooling occurs through the motion of a fluid (e.g., air or water).\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Why_is_Newtons_law_of_cooling_important\"><\/span>Why is Newton&#039;s law of cooling important?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNewton's Law of Cooling is important because it provides a simple and practical way to estimate how an object's temperature changes when it cools down through conduction or convection. It is widely used in various fields, including engineering, meteorology, and environmental sciences. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_limitations_of_Newtons_law_of_cooling_Class_11\"><\/span>What are the limitations of Newton&#039;s law of cooling Class 11?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe limitations of Newton's law of cooling include assuming a linear relationship, constant cooling rate, neglecting internal heat sources, and applicability primarily to conduction and convection, among others. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is Newton's law of cooling by convection short note?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Newton's Law of Cooling by convection states that the rate of cooling of an object is directly proportional to the temperature difference between the object and its surroundings when cooling occurs through the motion of a fluid (e.g., air or water).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why is Newton's law of cooling important?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Newton's Law of Cooling is important because it provides a simple and practical way to estimate how an object's temperature changes when it cools down through conduction or convection. It is widely used in various fields, including engineering, meteorology, and environmental sciences.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the limitations of Newton's law of cooling Class 11?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The limitations of Newton's law of cooling include assuming a linear relationship, constant cooling rate, neglecting internal heat sources, and applicability primarily to conduction and convection, among others.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Newton&#8217;s Law of Cooling is a fundamental principle in physics that describes the cooling of an object due to the [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Newton's Law of Cooling","_yoast_wpseo_title":"Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples","_yoast_wpseo_metadesc":"Newton's Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.","custom_permalink":"topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/"},"categories":[8592,8591],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples<\/title>\n<meta name=\"description\" content=\"Newton&#039;s Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples\" \/>\n<meta property=\"og:description\" content=\"Newton&#039;s Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-31T06:02:25+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-05-15T11:52:19+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ankit\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples","description":"Newton's Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.","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:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/","og_locale":"en_US","og_type":"article","og_title":"Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples","og_description":"Newton's Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.","og_url":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-07-31T06:02:25+00:00","article_modified_time":"2025-05-15T11:52:19+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Ankit","Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png","width":315,"height":421,"caption":"derivation of Newton's law of cooling"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/","name":"Newton\u2019s Law of Cooling - Definition, Formula, Limitations and Examples","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#primaryimage"},"datePublished":"2023-07-31T06:02:25+00:00","dateModified":"2025-05-15T11:52:19+00:00","description":"Newton's Law of Cooling is a principle that describes how a hot object cools down when placed in a cooler environment.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Newton\u2019s Law of Cooling: Formula, Derivation and Limitations"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb"},"headline":"Newton\u2019s Law of Cooling: Formula, Derivation and Limitations","datePublished":"2023-07-31T06:02:25+00:00","dateModified":"2025-05-15T11:52:19+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#webpage"},"wordCount":780,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/topics\/newtons-law-of-cooling-formula-derivation-and-limitations\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/derivation-of-Newtons-law-of-cooling.png","articleSection":["Physics Topics","Topics"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb","name":"Ankit","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","caption":"Ankit"},"url":"https:\/\/infinitylearn.com\/surge\/author\/ankit\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665919"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=665919"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/665919\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=665919"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=665919"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=665919"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=665919"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}