{"id":134,"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\/ch055-xhtml\/"},"modified":"2026-05-11T17:37:58","modified_gmt":"2026-05-11T17:37:58","slug":"exercise-2","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/exercise-2\/","title":{"raw":"Exercise\u00a02","rendered":"Exercise\u00a02"},"content":{"raw":"<div id=\"exercise-2\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe following results are obtained from fitting the CE model to four measured gas concentrations ([latex]C_{m}[\/latex]). Three parameters were varied to find the best fit simulated concentrations ([latex]C_{S}[\/latex]) shown. Estimated measurement errors are shown for each dissolved gas concentration. Calculate the <em>p<\/em>\u2011value for these model results. How confident would you be in using this model to determine [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] age for this groundwater sample? All concentrations are in units of ccSTP\/g.\r\n\r\n<\/div>\r\n<table style=\"width: 63%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 13%;\" \/> <col style=\"width: 17%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 19%;\" \/> <\/colgroup>\r\n<thead>\r\n<tr>\r\n<th>Gas<\/th>\r\n<th style=\"text-align: center;\">Measured Concentration<\/th>\r\n<th style=\"text-align: center;\">Error (\u03c3)<\/th>\r\n<th style=\"text-align: center;\">Best\u2011fit simulated concentration<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>Xe<\/td>\r\n<td style=\"text-align: center;\">1.238 x 10<sup>-8<\/sup><\/td>\r\n<td style=\"text-align: center;\">3.71 x 10<sup>-10<\/sup><\/td>\r\n<td style=\"text-align: center;\">1.202 x 10<sup>-8<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Kr<\/td>\r\n<td style=\"text-align: center;\">8.302 x 10<sup>-8<\/sup><\/td>\r\n<td style=\"text-align: center;\">2.49 x 10<sup>-9<\/sup><\/td>\r\n<td style=\"text-align: center;\">8.624 x 10<sup>-8<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Ar<\/td>\r\n<td style=\"text-align: center;\">3.876 x 10<sup>-4<\/sup><\/td>\r\n<td style=\"text-align: center;\">1.16 x 10<sup>-5<\/sup><\/td>\r\n<td style=\"text-align: center;\">3.854 x 10<sup>-4<\/sup><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Ne<\/td>\r\n<td style=\"text-align: center;\">2.495 x 10<sup>-7<\/sup><\/td>\r\n<td style=\"text-align: center;\">7.49 x 10<sup>-9<\/sup><\/td>\r\n<td style=\"text-align: center;\">2.489 x 10<sup>-7<\/sup><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/solution-exercise-2\/\"><span data-custom-style=\"Hyperlink\"><u>Solution\u00a0Exercise\u00a02<\/u><\/span>\u2ba5<\/a>\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/age-dating-young-groundwater\/chapter\/2-6-gases-in-groundwater-excess-air\/\"><strong><u><span data-custom-style=\"Hyperlink\">Return t<\/span>o <span data-custom-style=\"Hyperlink\">where text linked to Exercise\u00a02<\/span><\/u><\/strong><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"exercise-2\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>The following results are obtained from fitting the CE model to four measured gas concentrations ([latex]C_{m}[\/latex]). Three parameters were varied to find the best fit simulated concentrations ([latex]C_{S}[\/latex]) shown. Estimated measurement errors are shown for each dissolved gas concentration. Calculate the <em>p<\/em>\u2011value for these model results. How confident would you be in using this model to determine [latex]\\frac{_{}^{3}H}{_{}^{3}{He}}[\/latex] age for this groundwater sample? All concentrations are in units of ccSTP\/g.<\/p>\n<\/div>\n<table style=\"width: 63%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 13%;\" \/>\n<col style=\"width: 17%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 19%;\" \/> <\/colgroup>\n<thead>\n<tr>\n<th>Gas<\/th>\n<th style=\"text-align: center;\">Measured Concentration<\/th>\n<th style=\"text-align: center;\">Error (\u03c3)<\/th>\n<th style=\"text-align: center;\">Best\u2011fit simulated concentration<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Xe<\/td>\n<td style=\"text-align: center;\">1.238 x 10<sup>-8<\/sup><\/td>\n<td style=\"text-align: center;\">3.71 x 10<sup>-10<\/sup><\/td>\n<td style=\"text-align: center;\">1.202 x 10<sup>-8<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Kr<\/td>\n<td style=\"text-align: center;\">8.302 x 10<sup>-8<\/sup><\/td>\n<td style=\"text-align: center;\">2.49 x 10<sup>-9<\/sup><\/td>\n<td style=\"text-align: center;\">8.624 x 10<sup>-8<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Ar<\/td>\n<td style=\"text-align: center;\">3.876 x 10<sup>-4<\/sup><\/td>\n<td style=\"text-align: center;\">1.16 x 10<sup>-5<\/sup><\/td>\n<td style=\"text-align: center;\">3.854 x 10<sup>-4<\/sup><\/td>\n<\/tr>\n<tr>\n<td>Ne<\/td>\n<td style=\"text-align: center;\">2.495 x 10<sup>-7<\/sup><\/td>\n<td style=\"text-align: center;\">7.49 x 10<sup>-9<\/sup><\/td>\n<td style=\"text-align: center;\">2.489 x 10<sup>-7<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/solution-exercise-2\/\"><span data-custom-style=\"Hyperlink\"><u>Solution\u00a0Exercise\u00a02<\/u><\/span>\u2ba5<\/a><\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/2-6-gases-in-groundwater-excess-air\/\"><strong><u><span data-custom-style=\"Hyperlink\">Return t<\/span>o <span data-custom-style=\"Hyperlink\">where text linked to Exercise\u00a02<\/span><\/u><\/strong><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":7,"menu_order":37,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-134","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\/134","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":2,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/134\/revisions"}],"predecessor-version":[{"id":352,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/134\/revisions\/352"}],"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\/134\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/media?parent=134"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapter-type?post=134"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/contributor?post=134"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/license?post=134"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}