{"id":32727,"date":"2025-06-22T17:57:22","date_gmt":"2025-06-22T17:57:22","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=32727"},"modified":"2025-06-22T17:57:24","modified_gmt":"2025-06-22T17:57:24","slug":"in-the-zn2-ion-in-its-ground-state-how-many-electrons-are-l-0-and-s-1-2","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/in-the-zn2-ion-in-its-ground-state-how-many-electrons-are-l-0-and-s-1-2\/","title":{"rendered":"In the Zn2+ ion (in its ground state), how many electrons are l = 0 and s = -1\/2"},"content":{"rendered":"\n<p>In the Zn2+ ion (in its ground state), how many electrons are l = 0 and s = -1\/2? The atomic number of Zn is 30.<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p><strong>Correct Answer: 5 electrons<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To solve this question, we need to understand the electronic configuration of the Zn\u00b2\u207a ion and identify the electrons that have <strong>azimuthal quantum number (l) = 0<\/strong> and <strong>spin quantum number (s) = -1\/2<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: Atomic Number and Neutral Zinc Configuration<\/h4>\n\n\n\n<p>Zinc has an atomic number of 30, which means a neutral zinc atom has 30 electrons. The electron configuration of neutral Zn is:<\/p>\n\n\n\n<p><strong>Zn: 1s\u00b2 2s\u00b2 2p\u2076 3s\u00b2 3p\u2076 3d\u00b9\u2070 4s\u00b2<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Zinc Ion Zn\u00b2\u207a Configuration<\/h4>\n\n\n\n<p>The Zn\u00b2\u207a ion has lost two electrons. Electrons are always removed from the outermost shell first, which means from the <strong>4s orbital<\/strong>.<\/p>\n\n\n\n<p>So, Zn\u00b2\u207a configuration becomes:<\/p>\n\n\n\n<p><strong>Zn\u00b2\u207a: 1s\u00b2 2s\u00b2 2p\u2076 3s\u00b2 3p\u2076 3d\u00b9\u2070<\/strong><\/p>\n\n\n\n<p>Now Zn\u00b2\u207a has <strong>28 electrons<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Determine How Many Electrons Have l = 0 and s = -1\/2<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>l = 0<\/strong> quantum number corresponds to <strong>s orbitals<\/strong>.<\/li>\n\n\n\n<li>The <strong>s = -1\/2<\/strong> refers to electrons with <strong>spin down<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Now count the electrons in s-orbitals (l = 0):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1s\u00b2 \u2192 1 electron with s = -1\/2<\/li>\n\n\n\n<li>2s\u00b2 \u2192 1 electron with s = -1\/2<\/li>\n\n\n\n<li>3s\u00b2 \u2192 1 electron with s = -1\/2<\/li>\n<\/ul>\n\n\n\n<p>Each s orbital holds 2 electrons, one with spin +1\/2 and one with spin -1\/2.<\/p>\n\n\n\n<p>There are <strong>three s-orbitals<\/strong>, and each has one electron with spin -1\/2:<\/p>\n\n\n\n<p>1s\u00b2 \u2192 1<br>2s\u00b2 \u2192 1<br>3s\u00b2 \u2192 1<\/p>\n\n\n\n<p>In addition, 4s\u00b2 would have had 1 more, but those were removed in forming Zn\u00b2\u207a.<\/p>\n\n\n\n<p>So far, this gives <strong>3 electrons<\/strong>.<\/p>\n\n\n\n<p>However, we missed <strong>the s electrons in the p shells<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2p\u2076: electrons are not s-type (l = 1)<\/li>\n\n\n\n<li>3p\u2076: same<\/li>\n<\/ul>\n\n\n\n<p>Now reconsider: are there other s-type electrons? Yes, <strong>4s\u00b2<\/strong> originally had 2, but those were removed.<\/p>\n\n\n\n<p>So the only s orbitals with electrons are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1s\u00b2<\/li>\n\n\n\n<li>2s\u00b2<\/li>\n\n\n\n<li>3s\u00b2<\/li>\n<\/ul>\n\n\n\n<p>Each contributes <strong>1 spin-down<\/strong> electron.<\/p>\n\n\n\n<p>Therefore, the number of electrons with <strong>l = 0<\/strong> and <strong>s = -1\/2<\/strong> in Zn\u00b2\u207a is <strong>3<\/strong>.<\/p>\n\n\n\n<p>Correction: this shows <strong>3<\/strong>, not 5.<\/p>\n\n\n\n<p>Let us now double-check and correct accordingly.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Final Confirmation:<\/h4>\n\n\n\n<p>Electrons in s-orbitals in Zn\u00b2\u207a:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1s\u00b2: 1 spin-down<\/li>\n\n\n\n<li>2s\u00b2: 1 spin-down<\/li>\n\n\n\n<li>3s\u00b2: 1 spin-down<\/li>\n<\/ul>\n\n\n\n<p>That gives <strong>3<\/strong> electrons.<\/p>\n\n\n\n<p>Therefore, the <strong>correct answer is: 3 electrons<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer: <strong>3 electrons<\/strong><\/h3>\n","protected":false},"excerpt":{"rendered":"<p>In the Zn2+ ion (in its ground state), how many electrons are l = 0 and s = -1\/2? The atomic number of Zn is 30. The correct answer and explanation is: Correct Answer: 5 electrons Explanation: To solve this question, we need to understand the electronic configuration of the Zn\u00b2\u207a ion and identify the [&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-32727","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32727","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=32727"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32727\/revisions"}],"predecessor-version":[{"id":32728,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/32727\/revisions\/32728"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=32727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=32727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=32727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}