{"id":667403,"date":"2023-08-22T11:08:13","date_gmt":"2023-08-22T05:38:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=667403"},"modified":"2023-08-22T11:08:34","modified_gmt":"2023-08-22T05:38:34","slug":"first-order-reaction-definition-formulas-examples-graph","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction","title":{"rendered":"First order reaction | Definition,  Formulas, Examples &#038; Graph"},"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'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#Introduction_to_First_order_reaction\" title=\"Introduction to First order reaction\">Introduction to First order reaction<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#First_order_reaction_formula\" title=\"First order reaction formula\">First order reaction formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#First_order_reaction_example\" title=\"First order reaction example\">First order reaction example<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#First_order_reaction_graph\" title=\"First order reaction graph\">First order reaction graph<\/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\/first-order-reaction\/#Half_life_period_of_first_order_reaction\" title=\"Half life period of first order reaction\">Half life period of first order reaction<\/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\/first-order-reaction\/#Integrated_rate_equation_for_first_order_reaction\" title=\"Integrated rate equation for first order reaction\">Integrated rate equation for first order reaction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#Pseudo_first_order_reaction\" title=\"Pseudo first order reaction\">Pseudo first order reaction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#Explain_pseudo_first_order_reaction_with_suitable_example\" title=\"Explain pseudo first order reaction with suitable example\">Explain pseudo first order reaction with suitable example<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#Frequently_Asked_Questions_FAQs_on_First_Order_Reaction\" title=\"Frequently Asked Questions (FAQs) on First Order Reaction\">Frequently Asked Questions (FAQs) on First Order Reaction<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#What_is_a_first_order_reaction_and_what_is_an_example_of_one\" title=\"What is a first order reaction, and what is an example of one?\">What is a first order reaction, and what is an example of one?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#What_type_of_graph_is_a_first_order_reaction\" title=\"What type of graph is a first order reaction?\">What type of graph is a first order reaction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#What_is_the_half_life_of_second_order_reaction\" title=\"What is the half life of second order reaction?\">What is the half life of second order reaction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/first-order-reaction\/#Explain_pseudo_first_order_reaction_with_suitable_example-2\" title=\"Explain pseudo first order reaction with suitable example?\">Explain pseudo first order reaction with suitable example?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_First_order_reaction\"><\/span>Introduction to First order reaction<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The concentration of a reactant influences the rate of various reactions. When we double the concentration, the rate at which it occurs also doubles. This is why such chemical reactions are referred to as first-order reactions.<\/p>\n<p>In this article, we will go over first-order reactions in depth, including their definition, derivation, graph, and applications.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"First_order_reaction_formula\"><\/span>First order reaction formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The equation ln[A] = -kt + ln[A]0 represents First order reaction formula which is comparable to that of a straight line (y = mx + c) with a slope of -k. This line can be represented graphically as follows. Thus, for a first-order reaction, the graph of ln[A] v\/s t is a straight line with slope of -k.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"First_order_reaction_example\"><\/span>First order reaction example<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The following are some First order reaction examples:<\/p>\n<p>Nitrogen Pentoxide (N2O5) decomposition: 2N2O5 \u2192 2NO2 + 1\/2 O2<br \/>\nAmmonium nitrate decomposition in aqueous solution: NH4NO2 \u2192 N2 + 2H2O<br \/>\nH2O2 decomposition in aqueous solution: H2O2 \u2192 H2O + 12 O2<br \/>\nEthane hydrogenation: C2H4 + H2 \u2192 C2H6<br \/>\nDiazo derivative hydrolysis: C5H5N = NCl + H2O\u2192 C6H5OH + N2 + HCl<\/p>\n<h3><span class=\"ez-toc-section\" id=\"First_order_reaction_graph\"><\/span>First order reaction graph<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The First order reaction graph is shown as below:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-667404 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/First-order-reaction-graph.png\" alt=\"First order reaction graph\" width=\"462\" height=\"238\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/First-order-reaction-graph.png 462w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/First-order-reaction-graph-300x155.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Rate constant for first order reaction and First order reaction units<\/p>\n<p>The unit of rate constant for first order reaction is represented in reciprocal seconds (s1). The unit of rate constant for first order reaction can be calculated using the formula as follows:<br \/>\nk units = M(1-n).s-1 (where &#8216;n&#8217; is the reaction order)<br \/>\nBecause a first-order reaction has a reaction order of one, the equation is converted as follows:<br \/>\nk units = M(1-1).s-1 = s-1<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Half_life_period_of_first_order_reaction\"><\/span>Half life period of first order reaction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The Half life of first order reaction is the time it takes for the reactant concentration to fall to one-half of its initial value. The half life of first order reaction is independent of the reactant concentration. The half life of first order reaction is a constant that is connected to the reaction&#8217;s rate constant:<br \/>\nt1\/2 = 0.693\/k.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Integrated_rate_equation_for_first_order_reaction\"><\/span>Integrated rate equation for first order reaction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Integrated rate equation for a first order reaction is ln[A]t = -kt + ln[A]0. Because this equation has the form y = mx + b, a straight line can be obtained by plotting the natural log of [A] as a function of time.<\/p>\n<p><strong>Also Check Related Topics:<\/strong><\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/topics\/chemistry-topics\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 80px;\" type=\"button\">Chemistry Topics<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/chemistry-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 80px;\" type=\"button\">Chemistry Articles<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/from-industry-to-environment-redox-reactions-and-their-impact\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 80px;\" type=\"button\">Redox Reactions<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/acetyl-chloride-structure-uses-preparation-reactions\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 80px;\" type=\"button\">Acetyl Chloride-<\/button><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Pseudo_first_order_reaction\"><\/span>Pseudo first order reaction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Pseudo first order reaction are not first-order but appear to be so because the reactant(s) are present at higher concentrations than other reactants.<\/p>\n<p>In the rate law expression, the order of a chemical reaction can be stated as the product of the powers of the reactant concentrations.<br \/>\nReactions are classified as first-order, pseudo-first-order, second-order, and so on based on the concentration of the reactant.<br \/>\nTo calculate the reaction rate, accurate concentrations of each reactant are required.<br \/>\nIf one or both of the essential reactants are expensive, the experiment may be expensive.<br \/>\nThe Pseudo first order reaction, in which the 2nd order reaction is regarded as if it were a 1st order reaction, is used to avoid more complicated and costly experiments and calculations.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Explain_pseudo_first_order_reaction_with_suitable_example\"><\/span>Explain pseudo first order reaction with suitable example<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The reaction that is bimolecular yet has an order of one is known as a faux first order reaction. This happens whenever one of the reactants is in extremely high concentration. Pseudo first order reaction example is the acidic hydrolysis of an ester (ethyl acetate).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_FAQs_on_First_Order_Reaction\"><\/span>Frequently Asked Questions (FAQs) on First Order Reaction<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_a_first_order_reaction_and_what_is_an_example_of_one\"><\/span>What is a first order reaction, and what is an example of one?<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 following are some examples of First order reactions: Nitrogen Pentoxide (N2O5) decomposition: 2N2O5 \u2192 2NO2 + 1\/2O. In aqueous solution, ammonium nitrate decomposes into NH4NO2 \u2192 N2 + 2H2O. In aqueous solution, H2O2 decomposes as H2O2 \u2192 H2O + 1\/2 O. \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_type_of_graph_is_a_first_order_reaction\"><\/span>What type of graph is a first order reaction?<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\tA plot of the natural logarithm of a reactant's concentration versus time for a first-order reaction is a straight line having a slope of k. A plot of the inverse of a reactant's concentration versus time for a second-order reaction is a straight line having a slope of k. \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_is_the_half_life_of_second_order_reaction\"><\/span>What is the half life of second order reaction?<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 half life of second order reaction is inversely proportional to the amount of the reactants, according to this equation. \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=\"Explain_pseudo_first_order_reaction_with_suitable_example-2\"><\/span>Explain pseudo first order reaction with suitable example?<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\tPseudo first order reaction: A reaction that is bimolecular yet has an order of one is referred to as a pseudo first order reaction. This occurs when one of the reactants is in extremely high concentration. Pseudo first order reaction example is explained by acidic hydrolysis of an ester (ethyl acetate). \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 a first order reaction, and what is an example of one?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The following are some examples of First order reactions: Nitrogen Pentoxide (N2O5) decomposition: 2N2O5 \u2192 2NO2 + 1\/2O. In aqueous solution, ammonium nitrate decomposes into NH4NO2 \u2192 N2 + 2H2O. In aqueous solution, H2O2 decomposes as H2O2 \u2192 H2O + 1\/2 O.\"\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 type of graph is a first order reaction?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A plot of the natural logarithm of a reactant's concentration versus time for a first-order reaction is a straight line having a slope of k. A plot of the inverse of a reactant's concentration versus time for a second-order reaction is a straight line having a slope of k.\"\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 is the half life of second order reaction?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The half life of second order reaction is inversely proportional to the amount of the reactants, according to this equation.\"\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\": \"Explain pseudo first order reaction with suitable example?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Pseudo first order reaction: A reaction that is bimolecular yet has an order of one is referred to as a pseudo first order reaction. This occurs when one of the reactants is in extremely high concentration. Pseudo first order reaction example is explained by acidic hydrolysis of an ester (ethyl acetate).\"\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>Introduction to First order reaction The concentration of a reactant influences the rate of various reactions. When we double 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":"First order reaction","_yoast_wpseo_title":"First Order Reaction - Definition, Equation, Graph and Examples","_yoast_wpseo_metadesc":"First order reaction is the reaction rate depends only on the concentration of one reactant. 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