{"id":195966,"date":"2025-03-01T17:03:28","date_gmt":"2025-03-01T17:03:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=195966"},"modified":"2025-03-01T17:03:31","modified_gmt":"2025-03-01T17:03:31","slug":"how-many-electrons-are-necessary-to-produce-a-charge-of-1-2-c","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/01\/how-many-electrons-are-necessary-to-produce-a-charge-of-1-2-c\/","title":{"rendered":"How many electrons are necessary to produce a charge of -1.2 C"},"content":{"rendered":"\n<p>a) How many electrons are necessary to produce a charge of -1.2 C? Express your answer using two significant figures.\u00c3\u201a\u00c2<\/p>\n\n\n\n<p>b) What is the mass of this many electrons? Express your answer using two significant figures.\u00c3\u201a\u00c2<\/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<h3 class=\"wp-block-heading\">a) Number of Electrons Needed to Produce a Charge of -1.2 C<\/h3>\n\n\n\n<p>The charge of a single electron is given as:<\/p>\n\n\n\n<p>[<br>e = -1.6 \\times 10^{-19} \\, \\text{C}<br>]<\/p>\n\n\n\n<p>To calculate the number of electrons required to produce a total charge of -1.2 C, we use the following formula:<\/p>\n\n\n\n<p>[<br>Q = n \\times e<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( Q ) is the total charge (given as -1.2 C),<\/li>\n\n\n\n<li>( n ) is the number of electrons, and<\/li>\n\n\n\n<li>( e ) is the charge of a single electron.<\/li>\n<\/ul>\n\n\n\n<p>Rearranging the formula to solve for ( n ):<\/p>\n\n\n\n<p>[<br>n = \\frac{Q}{e}<br>]<\/p>\n\n\n\n<p>Substitute the values:<\/p>\n\n\n\n<p>[<br>n = \\frac{-1.2 \\, \\text{C}}{-1.6 \\times 10^{-19} \\, \\text{C}}<br>]<\/p>\n\n\n\n<p>Calculating:<\/p>\n\n\n\n<p>[<br>n = 7.5 \\times 10^{18} \\, \\text{electrons}<br>]<\/p>\n\n\n\n<p>Thus, the number of electrons needed to produce a charge of -1.2 C is:<\/p>\n\n\n\n<p>[<br>n = 7.5 \\times 10^{18} \\, \\text{electrons}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">b) Mass of These Electrons<\/h3>\n\n\n\n<p>The mass of a single electron is:<\/p>\n\n\n\n<p>[<br>m_e = 9.11 \\times 10^{-31} \\, \\text{kg}<br>]<\/p>\n\n\n\n<p>To find the total mass of the electrons, we multiply the number of electrons by the mass of a single electron:<\/p>\n\n\n\n<p>[<br>\\text{Total mass} = n \\times m_e<br>]<\/p>\n\n\n\n<p>Substitute the values:<\/p>\n\n\n\n<p>[<br>\\text{Total mass} = (7.5 \\times 10^{18}) \\times (9.11 \\times 10^{-31} \\, \\text{kg})<br>]<\/p>\n\n\n\n<p>Calculating:<\/p>\n\n\n\n<p>[<br>\\text{Total mass} = 6.83 \\times 10^{-12} \\, \\text{kg}<br>]<\/p>\n\n\n\n<p>Thus, the mass of the electrons is:<\/p>\n\n\n\n<p>[<br>\\text{Total mass} = 6.8 \\times 10^{-12} \\, \\text{kg}<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number of electrons needed to produce a charge of -1.2 C is approximately ( 7.5 \\times 10^{18} ) electrons.<\/li>\n\n\n\n<li>The mass of these electrons is approximately ( 6.8 \\times 10^{-12} \\, \\text{kg} ).<\/li>\n<\/ul>\n\n\n\n<p>Now, I&#8217;ll generate an image that visually represents these calculations.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-48.png\" alt=\"\" class=\"wp-image-195967\"\/><\/figure>\n\n\n\n<p>Here is the visual representation of the calculations for determining the number of electrons and their mass in the scenario of producing a charge of -1.2 C. It includes the relevant formulas and steps to illustrate the process. Let me know if you need further clarification!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>a) How many electrons are necessary to produce a charge of -1.2 C? Express your answer using two significant figures.\u00c3\u201a\u00c2 b) What is the mass of this many electrons? Express your answer using two significant figures.\u00c3\u201a\u00c2 The Correct Answer and Explanation is : a) Number of Electrons Needed to Produce a Charge of -1.2 C [&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-195966","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195966","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=195966"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/195966\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=195966"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=195966"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=195966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}