{"id":268303,"date":"2025-07-24T02:55:35","date_gmt":"2025-07-24T02:55:35","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=268303"},"modified":"2025-07-24T02:55:37","modified_gmt":"2025-07-24T02:55:37","slug":"for-a-100-times-increase-in-concentration-of-hydrogen-ions","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/24\/for-a-100-times-increase-in-concentration-of-hydrogen-ions\/","title":{"rendered":"For a 100 times increase in concentration of hydrogen ions"},"content":{"rendered":"\n<p>For a 100 times increase in concentration of hydrogen ions, a) pH increases by 2 units, b) pH decreases by 2 units, c) pH remains unaltered, d) pH decreases by 1 unit.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>b) pH decreases by 2 units<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The pH scale is a measure of the hydrogen ion concentration in a solution, and it is logarithmic. This means that a 10-fold increase in the concentration of hydrogen ions results in a decrease of 1 pH unit. The formula for pH is:pH=\u2212log\u2061[H+]\\text{pH} = -\\log[\\text{H}^+]pH=\u2212log[H+]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>[H+][\\text{H}^+][H+] is the concentration of hydrogen ions in moles per liter.<\/li>\n<\/ul>\n\n\n\n<p>If the concentration of hydrogen ions increases by a factor of 100 (which is 10\u00b2), this means:pH=\u2212log\u2061[H+]andif\u2009[H+]\u2009increases&nbsp;by&nbsp;100,\\text{pH} = -\\log[\\text{H}^+] \\quad \\text{and} \\quad \\text{if} \\, [\\text{H}^+] \\, \\text{increases by 100,}pH=\u2212log[H+]andif[H+]increases&nbsp;by&nbsp;100,<\/p>\n\n\n\n<p>The pH will decrease by 2 units. To understand this mathematically:<\/p>\n\n\n\n<p>If the original concentration of hydrogen ions is [H+]=x[H^+] = x[H+]=x, then:pH=\u2212log\u2061(x)\\text{pH} = -\\log(x)pH=\u2212log(x)<\/p>\n\n\n\n<p>Now, if the concentration increases 100 times, the new concentration is [H+]=100x[H^+] = 100x[H+]=100x, and the new pH is:New&nbsp;pH=\u2212log\u2061(100x)=\u2212log\u2061(100)\u2212log\u2061(x)=\u22122\u2212log\u2061(x)\\text{New pH} = -\\log(100x) = -\\log(100) &#8211; \\log(x) = -2 &#8211; \\log(x)New&nbsp;pH=\u2212log(100x)=\u2212log(100)\u2212log(x)=\u22122\u2212log(x)<\/p>\n\n\n\n<p>This shows that the pH decreases by 2 units when the concentration of hydrogen ions increases by a factor of 100.<\/p>\n\n\n\n<p>Thus, for a 100 times increase in the concentration of hydrogen ions, <strong>the pH decreases by 2 units<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-1787.jpeg\" alt=\"\" class=\"wp-image-268304\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>For a 100 times increase in concentration of hydrogen ions, a) pH increases by 2 units, b) pH decreases by 2 units, c) pH remains unaltered, d) pH decreases by 1 unit. The Correct Answer and Explanation is: The correct answer is b) pH decreases by 2 units. Explanation: The pH scale is a measure [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-268303","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/268303","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=268303"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/268303\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=268303"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=268303"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=268303"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}