{"id":1420,"date":"2026-05-12T21:47:48","date_gmt":"2026-05-12T21:47:48","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-20\/"},"modified":"2026-05-13T03:39:35","modified_gmt":"2026-05-13T03:39:35","slug":"solution-exercise-20","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/solution-exercise-20\/","title":{"raw":"Solution Exercise 20","rendered":"Solution Exercise 20"},"content":{"raw":"<div id=\"solution-exercise-20\" class=\"level1\">\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>The following table contains the results of an analysis of a water sample with the concentrations of various ions (column A) given in milligrams per liter (mg\/L) in column B.<\/blockquote>\r\n<\/div>\r\n<ol type=\"a\">\r\n \t<li>For column C: The atomic weight is the number at the bottom of each element cell in the interactive periodic table provided by the link; e.g., the number indicated by the red polygon on the entry for calcium provided here.<\/li>\r\n<\/ol>\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote><img style=\"display: block; margin-left: auto; margin-right: auto; ;width: 1in; height: 0.99in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file170-2.jpg\" alt=\"\" \/><\/blockquote>\r\n<\/div>\r\n<ol start=\"2\" type=\"a\">\r\n \t<li>For column D: Divide the concentration in mg\/L by the atomic weight of each ion to convert the concentration from mg\/L to molarity (mmol\/L).<\/li>\r\n \t<li>For column E: Enter the valence charge for each ion.<\/li>\r\n \t<li>For column F: Multiply the molarity by the valence charge to calculate the concentration in milliequivalents per liter (meq\/L)<\/li>\r\n<\/ol>\r\n<table style=\"width: 69%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 10%;\" \/> <col style=\"width: 15%;\" \/> <col style=\"width: 10%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 11%;\" \/> <col style=\"width: 9%;\" \/> <\/colgroup>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: center;\"><strong>A<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>B<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>C<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>D<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>E<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>F<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\"><strong>Solute<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>Measured Concentration (mg\/L)<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>Atomic weight(g)<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>Molarity (mmol\/L)<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>Valence (charge)<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>meq\/L<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{Ca}_{}^{2 +}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">92<\/td>\r\n<td style=\"text-align: center;\"><strong>40.08<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>2.30<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>4.59<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{Mg}_{}^{2 +}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">34<\/td>\r\n<td style=\"text-align: center;\"><strong>24.31<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>1.40<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>2.80<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{Na}_{}^{+}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">8.2<\/td>\r\n<td style=\"text-align: center;\"><strong>23.00<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.36<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>0.36<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]K_{}^{+}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">1.4<\/td>\r\n<td style=\"text-align: center;\"><strong>39.10<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.036<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>0.036<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{Fe(III)}_{}^{}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">0.1<\/td>\r\n<td style=\"text-align: center;\"><strong>55.80<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.02<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>3<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>0.005<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{HCO}_{3}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">325<\/td>\r\n<td style=\"text-align: center;\"><strong>61.00<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>5.33<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>5.33<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{SO}_{4}^{2 -}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">84<\/td>\r\n<td style=\"text-align: center;\"><strong>96.00<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.88<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1.75<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{Cl}_{}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">9.6<\/td>\r\n<td style=\"text-align: center;\"><strong>35.50<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.27<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>0.27<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: left;\">[latex]{NO}_{3}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">13<\/td>\r\n<td style=\"text-align: center;\"><strong>62.00<\/strong><\/td>\r\n<td style=\"text-align: left;\"><strong>0.21<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\r\n<td style=\"text-align: center;\"><strong>0.21<\/strong><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-20\/#exercise-20\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise 20<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<div data-custom-style=\"Body Text\">\r\n\r\n<a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/first-a-little-background-chemistry\/#extext20\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise 20<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"solution-exercise-20\" class=\"level1\">\n<div data-custom-style=\"Block Text\">\n<blockquote><p>The following table contains the results of an analysis of a water sample with the concentrations of various ions (column A) given in milligrams per liter (mg\/L) in column B.<\/p><\/blockquote>\n<\/div>\n<ol type=\"a\">\n<li>For column C: The atomic weight is the number at the bottom of each element cell in the interactive periodic table provided by the link; e.g., the number indicated by the red polygon on the entry for calcium provided here.<\/li>\n<\/ol>\n<div data-custom-style=\"Block Text\">\n<blockquote><p><img decoding=\"async\" style=\"display: block; margin-left: auto; margin-right: auto; ;width: 1in; height: 0.99in;\" src=\"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-content\/uploads\/sites\/42\/2026\/05\/file170-2.jpg\" alt=\"\" \/><\/p><\/blockquote>\n<\/div>\n<ol start=\"2\" type=\"a\">\n<li>For column D: Divide the concentration in mg\/L by the atomic weight of each ion to convert the concentration from mg\/L to molarity (mmol\/L).<\/li>\n<li>For column E: Enter the valence charge for each ion.<\/li>\n<li>For column F: Multiply the molarity by the valence charge to calculate the concentration in milliequivalents per liter (meq\/L)<\/li>\n<\/ol>\n<table style=\"width: 69%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 10%;\" \/>\n<col style=\"width: 15%;\" \/>\n<col style=\"width: 10%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 11%;\" \/>\n<col style=\"width: 9%;\" \/> <\/colgroup>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"><strong>A<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>B<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>C<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>D<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>E<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>F<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><strong>Solute<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Measured Concentration (mg\/L)<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Atomic weight(g)<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Molarity (mmol\/L)<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>Valence (charge)<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>meq\/L<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{Ca}_{}^{2 +}[\/latex]<\/td>\n<td style=\"text-align: center;\">92<\/td>\n<td style=\"text-align: center;\"><strong>40.08<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>2.30<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>4.59<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{Mg}_{}^{2 +}[\/latex]<\/td>\n<td style=\"text-align: center;\">34<\/td>\n<td style=\"text-align: center;\"><strong>24.31<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>1.40<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>2.80<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{Na}_{}^{+}[\/latex]<\/td>\n<td style=\"text-align: center;\">8.2<\/td>\n<td style=\"text-align: center;\"><strong>23.00<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.36<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>0.36<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]K_{}^{+}[\/latex]<\/td>\n<td style=\"text-align: center;\">1.4<\/td>\n<td style=\"text-align: center;\"><strong>39.10<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.036<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>0.036<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{Fe(III)}_{}^{}[\/latex]<\/td>\n<td style=\"text-align: center;\">0.1<\/td>\n<td style=\"text-align: center;\"><strong>55.80<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.02<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>3<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>0.005<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{HCO}_{3}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">325<\/td>\n<td style=\"text-align: center;\"><strong>61.00<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>5.33<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>5.33<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{SO}_{4}^{2 -}[\/latex]<\/td>\n<td style=\"text-align: center;\">84<\/td>\n<td style=\"text-align: center;\"><strong>96.00<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.88<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>2<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1.75<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{Cl}_{}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">9.6<\/td>\n<td style=\"text-align: center;\"><strong>35.50<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.27<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>0.27<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: left;\">[latex]{NO}_{3}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">13<\/td>\n<td style=\"text-align: center;\"><strong>62.00<\/strong><\/td>\n<td style=\"text-align: left;\"><strong>0.21<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>1<\/strong><\/td>\n<td style=\"text-align: center;\"><strong>0.21<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-20\/#exercise-20\"><span data-custom-style=\"Hyperlink\"><strong>Return to Exercise 20<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<div data-custom-style=\"Body Text\">\n<p><a href=\"\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/first-a-little-background-chemistry\/#extext20\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise 20<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":131,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1420","chapter","type-chapter","status-publish","hentry"],"part":1531,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1420","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":2,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1420\/revisions"}],"predecessor-version":[{"id":1838,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1420\/revisions\/1838"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1531"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1420\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/media?parent=1420"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapter-type?post=1420"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/contributor?post=1420"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/wp\/v2\/license?post=1420"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}