{"id":138,"date":"2026-04-10T02:53:10","date_gmt":"2026-04-10T02:53:10","guid":{"rendered":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/ch059-xhtml\/"},"modified":"2026-05-11T17:45:12","modified_gmt":"2026-05-11T17:45:12","slug":"exercise-6","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/exercise-6\/","title":{"raw":"Exercise\u00a06","rendered":"Exercise\u00a06"},"content":{"raw":"<div id=\"exercise-6\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nA groundwater sample was analyzed for [latex]He,\\ Ne[\/latex], and [latex]_{}^{3}H[\/latex] with the following results:\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n[latex]_{}^{4}{He} = 5.29 \\times[\/latex]\u00a010<sup>\u20138<\/sup>\u00a0ccSTP\/g\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n[latex]\\ \\ Ne = 2.14 \\times[\/latex]\u00a010<sup>\u20137<\/sup>\u00a0ccSTP\/g\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n[latex]\\delta_{}^{3}{He} = 32[\/latex]\u00a0%\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n[latex]_{}^{3}{He} = 5.6[\/latex]\u00a0TU\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nThe sample is thought to have recharged at an elevation of 500\u00a0m and the mean annual temperature at the site is 17.5\u00a0\u00b0C.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nCalculate the [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] tracer age assuming no fractionation of the excess air component. Assume that the [latex]He\/Ne[\/latex] ratio of excess air is 0.2882.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\nA useful unit conversion: 1 ccSTP\/g = 4.021 \u00d7 10<sup>14<\/sup>\u00a0TU.\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/solution-exercise-6\/\"><span data-custom-style=\"Hyperlink\"><u>Solution to Exercise\u00a06<\/u><\/span><\/a>\u2ba7\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/4-5-sensitivity-of-age-to-input-parameters\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a06<\/u><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"exercise-6\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>A groundwater sample was analyzed for [latex]He,\\ Ne[\/latex], and [latex]_{}^{3}H[\/latex] with the following results:<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>[latex]_{}^{4}{He} = 5.29 \\times[\/latex]\u00a010<sup>\u20138<\/sup>\u00a0ccSTP\/g<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>[latex]\\ \\ Ne = 2.14 \\times[\/latex]\u00a010<sup>\u20137<\/sup>\u00a0ccSTP\/g<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>[latex]\\delta_{}^{3}{He} = 32[\/latex]\u00a0%<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>[latex]_{}^{3}{He} = 5.6[\/latex]\u00a0TU<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>The sample is thought to have recharged at an elevation of 500\u00a0m and the mean annual temperature at the site is 17.5\u00a0\u00b0C.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>Calculate the [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] tracer age assuming no fractionation of the excess air component. Assume that the [latex]He\/Ne[\/latex] ratio of excess air is 0.2882.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p>A useful unit conversion: 1 ccSTP\/g = 4.021 \u00d7 10<sup>14<\/sup>\u00a0TU.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/solution-exercise-6\/\"><span data-custom-style=\"Hyperlink\"><u>Solution to Exercise\u00a06<\/u><\/span><\/a>\u2ba7<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/4-5-sensitivity-of-age-to-input-parameters\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a06<\/u><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":7,"menu_order":41,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-138","chapter","type-chapter","status-publish","hentry"],"part":39,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/138","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":3,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions"}],"predecessor-version":[{"id":365,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/138\/revisions\/365"}],"part":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/parts\/39"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/138\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/media?parent=138"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapter-type?post=138"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/contributor?post=138"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/license?post=138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}