{"id":1372,"date":"2026-05-12T21:47:41","date_gmt":"2026-05-12T21:47:41","guid":{"rendered":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-22\/"},"modified":"2026-05-13T03:35:45","modified_gmt":"2026-05-13T03:35:45","slug":"exercise-22","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/chapter\/exercise-22\/","title":{"raw":"Exercise 22","rendered":"Exercise 22"},"content":{"raw":"<div id=\"exercise-22\" class=\"level1\">\r\n<div data-custom-style=\"Block Text\">\r\n<blockquote>Calculate molarity and milliequivalents, then determine the charge balance for the following sample. The atomic weight and valance charge for each ion are provided in the table. State if the charge balance is acceptable or not. If the charge balance is not acceptable, state if the cations or the anions are in excess of the balance.<\/blockquote>\r\n<\/div>\r\n<table style=\"width: 78%;\" data-custom-style=\"Table\"><colgroup> <col style=\"width: 14%;\" \/> <col style=\"width: 14%;\" \/> <col style=\"width: 14%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 12%;\" \/> <col style=\"width: 10%;\" \/> <\/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: center;\">[latex]{Ca}_{}^{2 +}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">75<\/td>\r\n<td style=\"text-align: center;\">40.08<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">2<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{Mg}_{}^{2 +}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">25<\/td>\r\n<td style=\"text-align: center;\">24.31<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">2<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{Na}_{}^{+}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">5.6<\/td>\r\n<td style=\"text-align: center;\">23<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">1<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]K_{}^{+}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">2.1<\/td>\r\n<td style=\"text-align: center;\">39.1<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">1<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{Fe(III)}_{}^{}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">0.2<\/td>\r\n<td style=\"text-align: center;\">55.8<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">3<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{HCO}_{3}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">109<\/td>\r\n<td style=\"text-align: center;\">61<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">1<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{SO}_{4}^{2 -}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">242<\/td>\r\n<td style=\"text-align: center;\">96<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">2<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{Cl}_{}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">9.3<\/td>\r\n<td style=\"text-align: center;\">35.5<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">1<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\">[latex]{NO}_{3}^{-}[\/latex]<\/td>\r\n<td style=\"text-align: center;\">15<\/td>\r\n<td style=\"text-align: center;\">62<\/td>\r\n<td style=\"text-align: center;\"><\/td>\r\n<td style=\"text-align: center;\">1<\/td>\r\n<td style=\"text-align: center;\"><\/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\/solution-exercise-22\/#solution-exercise-22\"><span data-custom-style=\"Hyperlink\"><strong>Solution for Exercise 22<\/strong><\/span><\/a>\u2ba7\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\/water-analysis-and-naturally-occurring-dissolved-species\/#extext22\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise 22<\/strong><\/span><\/a>\u2ba5\r\n\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"exercise-22\" class=\"level1\">\n<div data-custom-style=\"Block Text\">\n<blockquote><p>Calculate molarity and milliequivalents, then determine the charge balance for the following sample. The atomic weight and valance charge for each ion are provided in the table. State if the charge balance is acceptable or not. If the charge balance is not acceptable, state if the cations or the anions are in excess of the balance.<\/p><\/blockquote>\n<\/div>\n<table style=\"width: 78%;\" data-custom-style=\"Table\">\n<colgroup>\n<col style=\"width: 14%;\" \/>\n<col style=\"width: 14%;\" \/>\n<col style=\"width: 14%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 12%;\" \/>\n<col style=\"width: 10%;\" \/> <\/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: center;\">[latex]{Ca}_{}^{2 +}[\/latex]<\/td>\n<td style=\"text-align: center;\">75<\/td>\n<td style=\"text-align: center;\">40.08<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">2<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{Mg}_{}^{2 +}[\/latex]<\/td>\n<td style=\"text-align: center;\">25<\/td>\n<td style=\"text-align: center;\">24.31<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">2<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{Na}_{}^{+}[\/latex]<\/td>\n<td style=\"text-align: center;\">5.6<\/td>\n<td style=\"text-align: center;\">23<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]K_{}^{+}[\/latex]<\/td>\n<td style=\"text-align: center;\">2.1<\/td>\n<td style=\"text-align: center;\">39.1<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{Fe(III)}_{}^{}[\/latex]<\/td>\n<td style=\"text-align: center;\">0.2<\/td>\n<td style=\"text-align: center;\">55.8<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">3<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{HCO}_{3}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">109<\/td>\n<td style=\"text-align: center;\">61<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{SO}_{4}^{2 -}[\/latex]<\/td>\n<td style=\"text-align: center;\">242<\/td>\n<td style=\"text-align: center;\">96<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">2<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{Cl}_{}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">9.3<\/td>\n<td style=\"text-align: center;\">35.5<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\"><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">[latex]{NO}_{3}^{-}[\/latex]<\/td>\n<td style=\"text-align: center;\">15<\/td>\n<td style=\"text-align: center;\">62<\/td>\n<td style=\"text-align: center;\"><\/td>\n<td style=\"text-align: center;\">1<\/td>\n<td style=\"text-align: center;\"><\/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\/solution-exercise-22\/#solution-exercise-22\"><span data-custom-style=\"Hyperlink\"><strong>Solution for Exercise 22<\/strong><\/span><\/a>\u2ba7<\/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\/water-analysis-and-naturally-occurring-dissolved-species\/#extext22\"><span data-custom-style=\"Hyperlink\"><strong>Return to where text linked to Exercise 22<\/strong><\/span><\/a>\u2ba5<\/p>\n<\/div>\n<\/div>\n","protected":false},"author":8,"menu_order":105,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1372","chapter","type-chapter","status-publish","hentry"],"part":1522,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1372","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\/1372\/revisions"}],"predecessor-version":[{"id":1813,"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1372\/revisions\/1813"}],"part":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/parts\/1522"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/basic-hydrogeology-an-introduction-to-the-fundamentals-of-groundwater-science\/wp-json\/pressbooks\/v2\/chapters\/1372\/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=1372"}],"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=1372"},{"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=1372"},{"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=1372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}