{"id":150,"date":"2026-04-10T02:53:12","date_gmt":"2026-04-10T02:53:12","guid":{"rendered":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/ch068-xhtml\/"},"modified":"2026-05-11T17:38:03","modified_gmt":"2026-05-11T17:38:03","slug":"solution-exercise-2","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/chapter\/solution-exercise-2\/","title":{"raw":"Solution\u00a0Exercise\u00a02","rendered":"Solution\u00a0Exercise\u00a02"},"content":{"raw":"<div id=\"solution-exercise-2\" class=\"level1\">\r\n<div data-custom-style=\"First Paragraph\">\r\n\r\nThe model scenario involves four noble gases and three unknown parameters, which means there is one degree of freedom (4\u00a0[latex]- \\ 3 = 1)[\/latex]. <a href=\"https:\/\/gw-project.org\/books\/age-dating-young-groundwater\/\"><span data-custom-style=\"Hyperlink\">Chi\u2011squared calculations are provided in a spreadsheet that can be download from the web page for this book<\/span><\/a>\u2197, yielding a chi\u2011squared value of 2.67. Based on the provided chi\u2011squared table, a value of 2.67 corresponds to <em>p\u00a0<\/em>= 0.10, or a 10 percent chance that the chi\u2011squared value results from random measurement error. Given this result, we would have confidence that the noble gas model yielded reasonable and useful results.\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-2\/\"><span data-custom-style=\"Hyperlink\"><strong><u>Return to Exercise\u00a02<\/u><\/strong><\/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\/2-6-gases-in-groundwater-excess-air\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a02<\/u><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"solution-exercise-2\" class=\"level1\">\n<div data-custom-style=\"First Paragraph\">\n<p>The model scenario involves four noble gases and three unknown parameters, which means there is one degree of freedom (4\u00a0[latex]- \\ 3 = 1)[\/latex]. <a href=\"https:\/\/gw-project.org\/books\/age-dating-young-groundwater\/\"><span data-custom-style=\"Hyperlink\">Chi\u2011squared calculations are provided in a spreadsheet that can be download from the web page for this book<\/span><\/a>\u2197, yielding a chi\u2011squared value of 2.67. Based on the provided chi\u2011squared table, a value of 2.67 corresponds to <em>p\u00a0<\/em>= 0.10, or a 10 percent chance that the chi\u2011squared value results from random measurement error. Given this result, we would have confidence that the noble gas model yielded reasonable and useful results.<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/age-dating-young-groundwater\/chapter\/exercise-2\/\"><span data-custom-style=\"Hyperlink\"><strong><u>Return to Exercise\u00a02<\/u><\/strong><\/span><\/a>\u2ba5<\/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\/\"><span data-custom-style=\"Hyperlink\"><u>Return to where text linked to Exercise\u00a02<\/u><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":7,"menu_order":47,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-150","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\/150","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\/150\/revisions"}],"predecessor-version":[{"id":353,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapters\/150\/revisions\/353"}],"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\/150\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/media?parent=150"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/pressbooks\/v2\/chapter-type?post=150"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/contributor?post=150"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/age-dating-young-groundwater\/wp-json\/wp\/v2\/license?post=150"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}