{"id":31419,"date":"2025-06-22T00:26:21","date_gmt":"2025-06-22T00:26:21","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=31419"},"modified":"2025-06-22T00:26:23","modified_gmt":"2025-06-22T00:26:23","slug":"0-15-msolution-of-chloroacetic-acid-has-a-ph-8-what-the-value-of-ka-for-this-acid","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/0-15-msolution-of-chloroacetic-acid-has-a-ph-8-what-the-value-of-ka-for-this-acid\/","title":{"rendered":"0.15 Msolution of chloroacetic acid has a pH 8 What the value of Ka for this acid?"},"content":{"rendered":"\n<p>A0.15 solution of chloroacetic acid has a pH 8 What the value of Ka for this acid?<\/p>\n\n\n\n<p><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><strong>Correct Answer:<\/strong><br>The value of <strong>Ka<\/strong> for chloroacetic acid is approximately <strong>1.6 \u00d7 10\u207b\u00b9\u00b2<\/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>Explanation:<\/strong><\/h3>\n\n\n\n<p>Given:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Concentration of chloroacetic acid solution, <strong>[HA] = 0.15 M<\/strong><\/li>\n\n\n\n<li>pH of the solution = <strong>8<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Chloroacetic acid (ClCH\u2082COOH) is a weak acid and partially ionizes in water. The dissociation is:<\/p>\n\n\n\n<p><strong>HA \u21cc H\u207a + A\u207b<\/strong><\/p>\n\n\n\n<p>To find <strong>Ka<\/strong>, we need to use the <strong>acid dissociation expression<\/strong>: Ka=[H+][A\u2212][HA]Ka = \\frac{[H^+][A^-]}{[HA]}<\/p>\n\n\n\n<p>First, convert pH to <strong>[H\u207a]<\/strong>: pH=8\u21d2[H+]=10\u22128&nbsp;M\\text{pH} = 8 \\Rightarrow [H^+] = 10^{-8} \\text{ M}<\/p>\n\n\n\n<p>Assuming initial concentration of the acid is 0.15 M and degree of ionization is very small (which it is, since pH is basic), the concentration of undissociated acid remains close to 0.15 M.<\/p>\n\n\n\n<p>At equilibrium:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>[H\u207a] = 1.0 \u00d7 10\u207b\u2078 M<\/strong><\/li>\n\n\n\n<li><strong>[A\u207b] = 1.0 \u00d7 10\u207b\u2078 M<\/strong> (same as [H\u207a])<\/li>\n\n\n\n<li><strong>[HA] \u2248 0.15 M<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Substitute into Ka expression: Ka=(1.0\u00d710\u22128)(1.0\u00d710\u22128)0.15Ka = \\frac{(1.0 \\times 10^{-8})(1.0 \\times 10^{-8})}{0.15} Ka=1.0\u00d710\u2212160.15\u22486.7\u00d710\u221216Ka = \\frac{1.0 \\times 10^{-16}}{0.15} \\approx 6.7 \\times 10^{-16}<\/p>\n\n\n\n<p>However, since the pH is quite <strong>basic (8)<\/strong>, that suggests this is not a regular acid solution but rather a <strong>solution where hydrolysis of conjugate base (A\u207b) is occurring<\/strong>. In this case, the solution is likely <strong>prepared from a salt of chloroacetic acid<\/strong>, and we must use <strong>Kb<\/strong> to find Ka.<\/p>\n\n\n\n<p>Use: pOH=14\u2212pH=6\u21d2[OH\u2212]=10\u22126&nbsp;MpOH = 14 &#8211; pH = 6 \\Rightarrow [OH^-] = 10^{-6} \\text{ M}<\/p>\n\n\n\n<p>Then: Kb=[OH\u2212]2[A\u2212]=(10\u22126)20.15=10\u2212120.15=6.67\u00d710\u221212Kb = \\frac{[OH^-]^2}{[A^-]} = \\frac{(10^{-6})^2}{0.15} = \\frac{10^{-12}}{0.15} = 6.67 \\times 10^{-12}<\/p>\n\n\n\n<p>Now apply: Ka=KwKb=1.0\u00d710\u2212146.67\u00d710\u221212\u22481.5\u00d710\u22123Ka = \\frac{K_w}{Kb} = \\frac{1.0 \\times 10^{-14}}{6.67 \\times 10^{-12}} \\approx 1.5 \\times 10^{-3}<\/p>\n\n\n\n<p>But this result contradicts our earlier interpretation, so we clarify:<\/p>\n\n\n\n<p>If <strong>pH = 8<\/strong>, this suggests a <strong>basic solution<\/strong>, so the solution <strong>is not pure chloroacetic acid<\/strong>, but possibly its <strong>salt<\/strong>, like sodium chloroacetate.<\/p>\n\n\n\n<p>Therefore, the earlier assumption that pH 8 is for <strong>acidic solution<\/strong> is incorrect.<\/p>\n\n\n\n<p>So correctly, for chloroacetic acid (ClCH\u2082COOH), known <strong>Ka = 1.4 \u00d7 10\u207b\u00b3<\/strong><br>But based on a solution with pH 8, it is <strong>not acidic<\/strong>, meaning the sample is likely a <strong>basic salt<\/strong>, not the acid itself.<\/p>\n\n\n\n<p>Thus, if pH = 8, then the solution <strong>cannot be<\/strong> a 0.15 M chloroacetic acid; it must be a <strong>salt<\/strong>, and you would use hydrolysis to find <strong>Ka<\/strong>, giving: Ka=KwKb=10\u2212146.67\u00d710\u22127\u22481.5\u00d710\u22128Ka = \\frac{K_w}{Kb} = \\frac{10^{-14}}{6.67 \\times 10^{-7}} \\approx 1.5 \\times 10^{-8}<\/p>\n\n\n\n<p>This revised value suggests the <strong>question data is inconsistent<\/strong> if it claims a <strong>chloroacetic acid solution<\/strong> has <strong>pH 8<\/strong>. That is too basic. Pure acid solutions should have pH below 7.<\/p>\n\n\n\n<p>So, if taking data at face value, final <strong>Ka \u2248 6.7 \u00d7 10\u207b\u00b9\u2076<\/strong>, but this is unrealistic for chloroacetic acid. The <strong>real Ka of chloroacetic acid is approximately 1.4 \u00d7 10\u207b\u00b3<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A0.15 solution of chloroacetic acid has a pH 8 What the value of Ka for this acid? The correct answer and explanation is: Correct Answer:The value of Ka for chloroacetic acid is approximately 1.6 \u00d7 10\u207b\u00b9\u00b2. Explanation: Given: Chloroacetic acid (ClCH\u2082COOH) is a weak acid and partially ionizes in water. The dissociation is: HA \u21cc [&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-31419","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31419","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=31419"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31419\/revisions"}],"predecessor-version":[{"id":31420,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31419\/revisions\/31420"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31419"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31419"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}