{"id":3084,"date":"2018-06-08T13:06:25","date_gmt":"2018-06-08T20:06:25","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3084"},"modified":"2018-06-08T13:06:25","modified_gmt":"2018-06-08T20:06:25","slug":"the-energy-produced-in-the-fusion-reaction-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/the-energy-produced-in-the-fusion-reaction-problems-and-solutions.htm","title":{"rendered":"The energy produced in the fusion reaction \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1. <\/span><\/span>Based on the following equation of the fusion reaction<\/a>, determine the energy produced in the fusion reaction!<\/span><\/span><\/p>\n

\"The<\/p>\n

Solution<\/span><\/span><\/p>\n

Mass of reactant and product :<\/span><\/span><\/u><\/p>\n

Mass <\/span><\/span><\/a>of <\/span><\/span>reactant<\/span><\/span> (m<\/span><\/span>reactant<\/u><\/span><\/sub>) = 1.0078 amu + 1.0078 amu = 2.0156 amu<\/span><\/span><\/p>\n

Mass of <\/span><\/span>product <\/span><\/span>(m<\/span><\/span>product<\/span><\/sub>) = 2.01410 amu + <\/span><\/span>0.00055 amu = 2.01465 amu<\/span><\/span><\/p>\n

The loss of mass in the reaction :<\/span><\/span><\/u><\/p>\n

\u0394m = <\/span><\/span>m<\/span><\/span>reactant<\/span> <\/sub>– <\/span><\/span>m<\/span><\/span>product<\/span><\/sub><\/p>\n

\u0394m = <\/span><\/span>2.01560 <\/span><\/span>amu<\/span><\/span> \u2013 <\/span><\/span>2.01465 <\/span><\/span>amu<\/span><\/span><\/p>\n

\u0394m = 0.00095 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction is <\/span><\/span>0.00095 sma. <\/span><\/span><\/p>\n

1 <\/span><\/span>amu = <\/span><\/span>931 MeV. 0.00095 <\/span><\/span>amu = <\/span><\/span>0.00095 x 931 MeV = 0.88445 MeV.<\/span><\/span><\/p>\n

amu = atomic mass unit<\/span><\/span><\/p>\n

MeV = megaelectron-volt (unit of energy)<\/span><\/span><\/p>\n

2. <\/span><\/span>Based on the following equation of the fusion reaction, determine the energy produced in the fusion reaction!<\/span><\/span><\/p>\n

\"The<\/p>\n

Solution :<\/span><\/span><\/p>\n

Mass of reactant and product :<\/span><\/span><\/u><\/p>\n

Mass <\/span><\/span>of <\/span><\/span>reactant<\/span><\/span> (m<\/span><\/span>reactant<\/u><\/span><\/sub>) = 2.014 <\/span><\/span>amu<\/span><\/span> + 3.016 <\/span><\/span>amu<\/span><\/span> = 5.03 <\/span><\/span>amu<\/span><\/span><\/p>\n

Mass of <\/span><\/span>product <\/span><\/span>(m<\/span><\/span>product<\/span><\/sub>) = 4.0026 <\/span><\/span>amu<\/span><\/span> + 1.0084 <\/span><\/span>amu<\/span><\/span> = 5.011 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction :<\/span><\/span><\/u><\/p>\n

\u0394m = <\/span><\/span>m<\/span><\/span>reactant<\/span><\/sub> – <\/span><\/span>m<\/span><\/span>product<\/span><\/sub><\/p>\n

\u0394m = 5.03 amu \u2013 5.011 amu<\/span><\/span><\/p>\n

\u0394m = 0.019 amu<\/span><\/span><\/p>\n

The loss of mass in the reaction is <\/span><\/span>0.019 <\/span><\/span>amu<\/span><\/span>. <\/span><\/span><\/p>\n

1 <\/span><\/span>amu = <\/span><\/span>931 MeV. <\/span><\/span>0.019 <\/span><\/span>amu = <\/span><\/span>0.019 x 931 MeV = 17.689 MeV = 17.69 MeV.<\/span><\/span><\/p>\n

3. <\/span><\/span>Based on the following equation of the fusion reaction, <\/span><\/span>d<\/span><\/span>etermine the energy produced in the fusion reaction!<\/span><\/span><\/p>\n

\"The<\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

Mass of reactant and product :<\/span><\/span><\/u><\/p>\n

Mass <\/span><\/span>of <\/span><\/span>reactant<\/span><\/span> (m<\/span><\/span>reactant<\/u><\/span><\/sub>) = 13.0033 <\/span><\/span>amu<\/span><\/span> + 2.0141 <\/span><\/span>amu<\/span><\/span> = 15.0174 <\/span><\/span>amu<\/span><\/span><\/p>\n

Mass of <\/span><\/span>product <\/span><\/span>(m<\/span><\/span>product<\/span><\/sub>) = 14.0030 <\/span><\/span>amu <\/span><\/span>+ 1.0078 <\/span><\/span>amu<\/span><\/span> = 15.0108 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction :<\/span><\/span><\/u><\/p>\n

\u0394m = <\/span><\/span>m<\/span><\/span>reactant<\/span><\/sub> – <\/span><\/span>m<\/span><\/span>product<\/span><\/sub><\/p>\n

\u0394m = 15.0174 <\/span><\/span>amu<\/span><\/span> \u2013 15.0108 <\/span><\/span>amu<\/span><\/span><\/p>\n

\u0394m = 0.0066 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction is <\/span><\/span>0.0066 <\/span><\/span>amu.<\/span><\/span><\/p>\n

1 <\/span><\/span>amu = <\/span><\/span>931 MeV. 0.0066 <\/span><\/span>amu = <\/span><\/span>0.0066 x 931 MeV = 6.1446 MeV.<\/span><\/span><\/p>\n

4. <\/span><\/span>Based on the following equation of the fusion reaction, determine the energy produced in the fusion reaction.<\/span><\/span><\/p>\n

\"The<\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

Mass of reactant and product :<\/span><\/span><\/u><\/p>\n

Mass <\/span><\/span>of <\/span><\/span>reactant<\/span><\/span> (m<\/span><\/span>reactant<\/u><\/span><\/sub>) = 4 (<\/span><\/span>1.0078 <\/span><\/span>amu<\/span><\/span>) = 4.0312 <\/span><\/span>amu<\/span><\/span><\/p>\n

Mass of <\/span><\/span>product <\/span><\/span>(m<\/span><\/span>product<\/span><\/sub>) = <\/span><\/span>4.0026 <\/span><\/span>amu<\/span><\/span> + <\/span><\/span>0.0005 <\/span><\/span>amu <\/span><\/span>= 4.0031 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction :<\/span><\/span><\/u><\/p>\n

\u0394m = <\/span><\/span>m<\/span><\/span>reactant<\/span><\/sub> – <\/span><\/span>m<\/span><\/span>product<\/span><\/sub><\/p>\n

\u0394m = 4.0312 <\/span><\/span>amu<\/span><\/span> \u2013 4.0031 <\/span><\/span>amu<\/span><\/span><\/p>\n

\u0394m = 0.0281 <\/span><\/span>amu<\/span><\/span><\/p>\n

The loss of mass in the reaction <\/span><\/span>is <\/span><\/span>0.0281 <\/span><\/span>amu.<\/span><\/span><\/p>\n

1 <\/span><\/span>amu = <\/span><\/span>931 MeV. 0.0281 <\/span><\/span>amu = <\/span><\/span>0.0281 x 931 MeV = 26.1611 MeV.<\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

1. Based on the following equation of the fusion reaction, determine the energy produced in the fusion reaction! Solution<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"The energy produced in the fusion reaction \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3084","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3084","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3084"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3084\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3084"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3084"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}