{"id":194308,"date":"2025-02-23T07:57:55","date_gmt":"2025-02-23T07:57:55","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=194308"},"modified":"2025-02-23T07:57:58","modified_gmt":"2025-02-23T07:57:58","slug":"the-element-silver-has-an-atomic-weight-of-108-and-consists-of-two-stable-isotopes-silver-107-and-silver-109","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/23\/the-element-silver-has-an-atomic-weight-of-108-and-consists-of-two-stable-isotopes-silver-107-and-silver-109\/","title":{"rendered":"The element silver has an atomic weight of 108 and consists of two stable isotopes silver-107 and silver-109"},"content":{"rendered":"\n<p>The element silver has an atomic weight of 108 and consists of two stable isotopes silver-107 and silver-109. The isotope silver-107 has a mass of 107 amu and a percent natural abundance of 51.8 % The isotope silver-109 has a percent natural abundance of 48.2 % What is the mass of silver-1092?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find the mass of silver-109 (( m_{109} )), we use the equation for the weighted average atomic mass:<\/p>\n\n\n\n<p>[<br>\\text{Atomic Weight} = (m_{107} \\times f_{107}) + (m_{109} \\times f_{109})<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( \\text{Atomic Weight} = 108 ) amu<\/li>\n\n\n\n<li>( m_{107} = 107 ) amu<\/li>\n\n\n\n<li>( f_{107} = 0.518 ) (fractional abundance)<\/li>\n\n\n\n<li>( f_{109} = 0.482 ) (fractional abundance)<\/li>\n\n\n\n<li>( m_{109} ) is unknown.<\/li>\n<\/ul>\n\n\n\n<p>Rearrange the equation to solve for ( m_{109} ):<\/p>\n\n\n\n<p>[<br>108 = (107 \\times 0.518) + (m_{109} \\times 0.482)<br>]<\/p>\n\n\n\n<p>[<br>108 = (55.426) + (m_{109} \\times 0.482)<br>]<\/p>\n\n\n\n<p>[<br>m_{109} \\times 0.482 = 108 &#8211; 55.426<br>]<\/p>\n\n\n\n<p>[<br>m_{109} \\times 0.482 = 52.574<br>]<\/p>\n\n\n\n<p>[<br>m_{109} = \\frac{52.574}{0.482}<br>]<\/p>\n\n\n\n<p>[<br>m_{109} \\approx 109.1 \\text{ amu}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The element silver (Ag) has an atomic weight of 108 amu, which is the weighted average of its two stable isotopes: silver-107 and silver-109. The percentage abundance of silver-107 is 51.8%, and silver-109 is 48.2%. The formula for calculating atomic weight considers the relative abundances and atomic masses of the isotopes.<\/p>\n\n\n\n<p>By substituting the known values, we set up an equation and solve for the unknown mass of silver-109. The result is approximately <strong>109.1 amu<\/strong>, which aligns with the expected atomic structure of silver. This confirms the reliability of our calculation, as the mass is close to the atomic number of the isotope.<\/p>\n\n\n\n<p>Now, I&#8217;ll generate an image to visually represent the isotopes of silver.<\/p>\n\n\n\n<p>Here is the image representation of silver (Ag) with its two stable isotopes, Silver-107 and Silver-109. It illustrates their atomic structures, natural abundances, and the atomic weight calculation leading to 108 amu. Let me know if you need any modifications or further explanations!<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-1287.png\" alt=\"\" class=\"wp-image-194309\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The element silver has an atomic weight of 108 and consists of two stable isotopes silver-107 and silver-109. The isotope silver-107 has a mass of 107 amu and a percent natural abundance of 51.8 % The isotope silver-109 has a percent natural abundance of 48.2 % What is the mass of silver-1092? The Correct Answer [&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-194308","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194308","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=194308"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/194308\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=194308"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=194308"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=194308"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}