{"id":16688,"date":"2025-06-11T18:27:54","date_gmt":"2025-06-11T18:27:54","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=16688"},"modified":"2025-06-11T18:27:59","modified_gmt":"2025-06-11T18:27:59","slug":"the-rate-law-for-the-reaction-no2g-cog-nog-co2g-is-rate-kno22co0","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-rate-law-for-the-reaction-no2g-cog-nog-co2g-is-rate-kno22co0\/","title":{"rendered":"The rate law for the reaction NO2(g) + CO(g) NO(g) + CO2(g) is Rate = k[NO2]2[CO]0"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The rate law for the reaction NO2(g) + CO(g) NO(g) + CO2(g) is Rate = k[NO2]2[CO]0. Which of the following reaction mixtures will have the fastest rate at a given temperature?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To determine which reaction mixture will have the <strong>fastest rate<\/strong>, we must examine how the <strong>rate law<\/strong> depends on the <strong>concentrations of the reactants<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Given Rate Law:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Rate=k[NO2]2[CO]0\\text{Rate} = k[\\text{NO}_2]^2[\\text{CO}]^0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This tells us:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The rate is <strong>second order with respect to NO\u2082<\/strong> (it appears squared).<\/li>\n\n\n\n<li>The rate is <strong>zero order with respect to CO<\/strong>, meaning CO\u2019s concentration <strong>does not affect<\/strong> the reaction rate.<\/li>\n\n\n\n<li>The rate constant <strong>k<\/strong> is constant at a given temperature.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Interpretation:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Since [CO]0=1[\\text{CO}]^0 = 1, the rate simplifies to: Rate=k[NO2]2\\text{Rate} = k[\\text{NO}_2]^2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Therefore, <strong>the rate only depends on the concentration of NO\u2082<\/strong>. Increasing or decreasing [CO] will <strong>not change<\/strong> the rate.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer:<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The mixture with the highest concentration of NO\u2082<\/strong> will have the fastest rate, regardless of the CO concentration.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation (300 words):<\/strong><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The rate law for the reaction NO\u2082(g) + CO(g) \u2192 NO(g) + CO\u2082(g) is given as: Rate=k[NO2]2[CO]0\\text{Rate} = k[\\text{NO}_2]^2[\\text{CO}]^0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This expression describes how the speed of the reaction is influenced by the concentrations of the reactants. The exponent on each concentration term shows the <strong>order<\/strong> with respect to that substance. In this case, the reaction is <strong>second-order with respect to NO\u2082<\/strong>, meaning that if the concentration of NO\u2082 is doubled, the rate of the reaction increases by a factor of 22=42^2 = 4. Conversely, the reaction is <strong>zero-order with respect to CO<\/strong>, which means the concentration of CO has <strong>no effect<\/strong> on the reaction rate.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This zero-order behavior occurs when CO is in excess or not involved in the rate-determining step. The reaction mechanism likely includes an initial slow step involving NO\u2082 alone, which governs the overall reaction speed.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Because the rate is directly proportional to [NO2]2[\\text{NO}_2]^2, the <strong>fastest rate<\/strong> will occur in the reaction mixture that has the <strong>highest concentration of NO\u2082<\/strong>. For example, if you&#8217;re given several choices of mixtures with varying concentrations of NO\u2082 and CO, <strong>you should select the one with the highest [NO\u2082]<\/strong>. Even if CO is completely absent or doubled in other choices, it will not change the rate due to its zero-order impact.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Understanding how rate laws work is essential in chemical kinetics, as it helps chemists optimize reaction conditions to speed up or control chemical processes effectively.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The rate law for the reaction NO2(g) + CO(g) NO(g) + CO2(g) is Rate = k[NO2]2[CO]0. Which of the following reaction mixtures will have the fastest rate at a given temperature? The correct answer and explanation is: To determine which reaction mixture will have the fastest rate, we must examine how the rate law depends [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-16688","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16688","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=16688"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16688\/revisions"}],"predecessor-version":[{"id":16690,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/16688\/revisions\/16690"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=16688"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=16688"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=16688"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}