{"id":156,"date":"2026-04-10T02:53:13","date_gmt":"2026-04-10T02:53:13","guid":{"rendered":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/ch072-xhtml\/"},"modified":"2026-09-02T19:37:39","modified_gmt":"2026-09-02T19:37:39","slug":"solution-exercise-5","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/solution-exercise-5\/","title":{"raw":"Solution Exercise\u00a05","rendered":"Solution Exercise\u00a05"},"content":{"raw":"<div id=\"solution-exercise-5\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nCalculate the [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] age using Equation\u00a0<a href=\"\/age-dating-young-groundwater\/chapter\/4-2-basic-concepts-and-systematics\/#equation-14\"><span data-custom-style=\"Hyperlink\">(14)<\/span><\/a> as shown here.\r\n\r\n<\/div>\r\n<div style=\"margin-top: 10px; margin-bottom: 10px;\" data-custom-style=\"Body Text\">\r\n<p style=\"text-align: center;\">[latex]Age = \\frac{\\ln\\left( 1 + \\frac{6.8}{0.72} \\right)}{\\frac{ln(2)}{12.32}} = 41.7\\ years[\/latex]<\/p>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/exercise-5\/\"><span data-custom-style=\"Hyperlink\">Return to Exercise 5<\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/4-2-basic-concepts-and-systematics\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a05<\/u><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"solution-exercise-5\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>Calculate the [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] age using Equation\u00a0<a href=\"\/age-dating-young-groundwater\/chapter\/4-2-basic-concepts-and-systematics\/#equation-14\"><span data-custom-style=\"Hyperlink\">(14)<\/span><\/a> as shown here.<\/p>\n<\/div>\n<div style=\"margin-top: 10px; margin-bottom: 10px;\" data-custom-style=\"Body Text\">\n<p style=\"text-align: center;\">[latex]Age = \\frac{\\ln\\left( 1 + \\frac{6.8}{0.72} \\right)}{\\frac{ln(2)}{12.32}} = 41.7\\ years[\/latex]<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/exercise-5\/\"><span data-custom-style=\"Hyperlink\">Return to Exercise 5<\/span><\/a>\u2ba5<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/4-2-basic-concepts-and-systematics\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a05<\/u><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":7,"menu_order":50,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-156","chapter","type-chapter","status-publish","hentry"],"part":45,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/156","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/users\/7"}],"version-history":[{"count":6,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/156\/revisions"}],"predecessor-version":[{"id":463,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/156\/revisions\/463"}],"part":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts\/45"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/156\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/media?parent=156"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapter-type?post=156"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/contributor?post=156"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/license?post=156"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}