{"id":3996,"date":"2026-10-14T22:15:22","date_gmt":"2026-10-14T21:15:22","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/kimya\/kohlrausch-yasasi-hesaplayici\/"},"modified":"2026-10-14T22:15:22","modified_gmt":"2026-10-14T21:15:22","slug":"kohlrausch-yasasi-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/kimya\/kohlrausch-yasasi-hesaplayici\/","title":{"rendered":"Kohlrausch yasas\u0131 hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Elektrolitin limit molar iletkenli\u011fini iyonlar\u0131ndan hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3996\" data-favorite-title=\"Kohlrausch yasas\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/kimya\/kohlrausch-yasasi-hesaplayici\/\" data-favorite-excerpt=\"Kohlrausch&#039;un iyonlar\u0131n ba\u011f\u0131ms\u0131z g\u00f6\u00e7\u00fc yasas\u0131na g\u00f6re, herhangi bir elektrolitin sonsuz seyreltimedeki limit molar iletkenli\u011fini iyonik iletkenlikler ve stokiyometrik katsay\u0131lardan hesaplay\u0131n.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-chemistry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/kimya\/kohlrausch-yasasi-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3996\" data-post=\"3996\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">Katyon (pozitif iyon)<\/span><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Katyon ad\u0131<\/label><input type=\"text\" name=\"katyon_ad\" id=\"field-2\" placeholder=\"\u00f6rn. Na\u207a\" step=\"any\" value=\"Na\u207a\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Limit molar iletkenlik (\u03bb\u00b0\u208a)<\/label><div class=\"term\">\u03bb\u00b0\u208a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"limit_molar_iletkenlik_\" id=\"field-3\" aria-describedby=\"calc-unit-3 calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"50.11\"\/><div class=\"unit\" id=\"calc-unit-3\">S\u00b7cm\u00b2\/mol<\/div><small id=\"calc-info-3\">25 \u00b0C&#039;de, sonsuz seyrelmedeki iyonik limit molar iletkenlik (Na\u207a = 50,11, K\u207a = 73,5, Ca\u00b2\u207a = 119,0).<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Stokiyometrik katsay\u0131 (\u03bd\u208a)<\/label><div class=\"term\">\u03bd\u208a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"stokiyometrik_katsay_\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1\"\/><small id=\"calc-info-4\">Form\u00fcl birimine d\u00fc\u015fen katyon say\u0131s\u0131; \u00f6rn. NaCl&#039;de 1, Ca(OH)\u2082&#039;de 2.<\/small><\/div><div class=\"field is-checkbox is-single\" id=\"input-5\"><input type=\"checkbox\" id=\"field-5\" value=\"1\"\/><label for=\"field-5\">\u0130kinci katyon ekleyin<\/label><\/div><div class=\"field\" id=\"input-6\" hidden><label for=\"field-6\">\u0130kinci katyonun ad\u0131<\/label><input type=\"text\" name=\"kinci_katyonun_ad\" id=\"field-6\" placeholder=\"\u00f6rn. Ca\u00b2\u207a\" step=\"any\" value=\"Ca\u00b2\u207a\"\/><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-7\">Limit molar iletkenlik (\u03bb\u00b0\u208a\u2082)<\/label><div class=\"term\">\u03bb\u00b0\u208a\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"limit_molar_iletkenlik_\" id=\"field-7\" aria-describedby=\"calc-unit-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"119\"\/><div class=\"unit\" id=\"calc-unit-7\">S\u00b7cm\u00b2\/mol<\/div><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-8\">Stokiyometrik katsay\u0131 (\u03bd\u208a\u2082)<\/label><div class=\"term\">\u03bd\u208a\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"stokiyometrik_katsay_\" id=\"field-8\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1\"\/><\/div><div class=\"is-single field\" id=\"input-9\"><span class=\"font-semibold\">Anyon (negatif iyon)<\/span><\/div><div class=\"field\" id=\"input-10\"><label for=\"field-10\">Anyon ad\u0131<\/label><input type=\"text\" name=\"anyon_ad\" id=\"field-10\" placeholder=\"\u00f6rn. Cl\u207b\" step=\"any\" value=\"Cl\u207b\"\/><\/div><div class=\"field has-term\" id=\"input-11\"><label for=\"field-11\">Limit molar iletkenlik (\u03bb\u00b0\u208b)<\/label><div class=\"term\">\u03bb\u00b0\u208b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"limit_molar_iletkenlik_\" id=\"field-11\" aria-describedby=\"calc-unit-11 calc-info-11\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"76.35\"\/><div class=\"unit\" id=\"calc-unit-11\">S\u00b7cm\u00b2\/mol<\/div><small id=\"calc-info-11\">25 \u00b0C&#039;de, sonsuz seyrelmedeki iyonik limit molar iletkenlik (Cl\u207b = 76,35, OH\u207b = 198,3, SO\u2084\u00b2\u207b = 160,0).<\/small><\/div><div class=\"field has-term\" id=\"input-12\"><label for=\"field-12\">Stokiyometrik katsay\u0131 (\u03bd\u208b)<\/label><div class=\"term\">\u03bd\u208b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"stokiyometrik_katsay_\" id=\"field-12\" aria-describedby=\"calc-info-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1\"\/><small id=\"calc-info-12\">Form\u00fcl birimine d\u00fc\u015fen anyon say\u0131s\u0131; \u00f6rn. CaCl\u2082 veya Na\u2082SO\u2084&#039;de 2.<\/small><\/div><div class=\"field is-checkbox is-single\" id=\"input-13\"><input type=\"checkbox\" id=\"field-13\" value=\"1\"\/><label for=\"field-13\">\u0130kinci anyon ekleyin<\/label><\/div><div class=\"field\" id=\"input-14\" hidden><label for=\"field-14\">\u0130kinci anyonun ad\u0131<\/label><input type=\"text\" name=\"kinci_anyonun_ad\" id=\"field-14\" placeholder=\"\u00f6rn. SO\u2084\u00b2\u207b\" step=\"any\" value=\"SO\u2084\u00b2\u207b\"\/><\/div><div class=\"field has-term\" id=\"input-15\" hidden><label for=\"field-15\">Limit molar iletkenlik (\u03bb\u00b0\u208b\u2082)<\/label><div class=\"term\">\u03bb\u00b0\u208b\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"limit_molar_iletkenlik_\" id=\"field-15\" aria-describedby=\"calc-unit-15\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"160\"\/><div class=\"unit\" id=\"calc-unit-15\">S\u00b7cm\u00b2\/mol<\/div><\/div><div class=\"field has-term\" id=\"input-16\" hidden><label for=\"field-16\">Stokiyometrik katsay\u0131 (\u03bd\u208b\u2082)<\/label><div class=\"term\">\u03bd\u208b\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"stokiyometrik_katsay_\" id=\"field-16\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" value=\"1\"\/><\/div><div class=\"field is-single\" id=\"input-17\"><label for=\"field-17\">\u00c7\u0131kt\u0131 birimi<\/label><div class=\"grid grid-cols-1\"><select id=\"field-17\" name=\"kt_birimi\"><option value=\"scm2\" selected>S\u00b7cm\u00b2\/mol (tablolarda yayg\u0131n)<\/option><option value=\"m2\">S\u00b7m\u00b2\/mol (SI)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3996\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Kohlrausch yasas\u0131 sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Limit molar iletkenlik (\u039b\u00b0\u2098)<\/span><span class=\"result-term\">\u039b\u00b0\u2098<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>\u0130yon katk\u0131lar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Hesaplama ayr\u0131nt\u0131lar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Kohlrausch&#039;un iyonlar\u0131n ba\u011f\u0131ms\u0131z g\u00f6\u00e7\u00fc yasas\u0131 hakk\u0131nda<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3996\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Kohlrausch yasas\u0131 form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\Lambda^\\circ_m = \\nu_+ \\lambda^\\circ_+ + \\nu_- \\lambda^\\circ_- \\quad \\text{veya genel olarak} \\quad \\Lambda^\\circ_m = \\sum_i \\nu_i \\lambda^\\circ_i \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(\\Lambda^\\circ_m\\) \u2014 elektrolitin sonsuz seyreltimedeki limit molar iletkenli\u011fi (S\u00b7cm\u00b2\/mol)<\/li>\n<li>\\(\\lambda^\\circ_i\\) \u2014 \\(i\\) iyonunun sonsuz seyreltimedeki limit molar (iyonik) iletkenli\u011fi (S\u00b7cm\u00b2\/mol)<\/li>\n<li>\\(\\nu_i\\) \u2014 \\(i\\) iyonunun form\u00fcl birimindeki stokiyometrik katsay\u0131s\u0131 (\u00f6rne\u011fin CaCl\u2082'deki Cl\u207b i\u00e7in 2)<\/li>\n<\/ul>\n<p>Bu form\u00fcl Kohlrausch'un iyonlar\u0131n ba\u011f\u0131ms\u0131z g\u00f6\u00e7\u00fc yasas\u0131n\u0131 ifade eder: sonsuz seyreltimede her iyon, toplam iletkenli\u011fe di\u011fer t\u00fcm iyonlardan ba\u011f\u0131ms\u0131z olarak katk\u0131da bulunur; bu nedenle elektrolitin limit molar iletkenli\u011fi, iyonik iletkenliklerin stokiyometrik katsay\u0131lar\u0131yla a\u011f\u0131rl\u0131kland\u0131r\u0131lm\u0131\u015f toplam\u0131d\u0131r.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Kohlrausch yasas\u0131 \u2013 \u00f6rnek hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> form\u00fcl biriminde bir Na\u207a, bir Ca\u00b2\u207a, bir Cl\u207b ve bir SO\u2084\u00b2\u207b iyonu bulunan bir elektrolit. D\u00f6rt iyonun da stokiyometrik katsay\u0131s\u0131 1'dir ve 25 \u00b0C'deki limit molar iletkenlikleri \u03bb\u00b0(Na\u207a) = 50,11, \u03bb\u00b0(Ca\u00b2\u207a) = 119,0, \u03bb\u00b0(Cl\u207b) = 76,35 ve \u03bb\u00b0(SO\u2084\u00b2\u207b) = 160,0 S\u00b7cm\u00b2\/mol'd\u00fcr \u2014 bunlar hesaplay\u0131c\u0131n\u0131n varsay\u0131lan de\u011ferleridir.<\/p>\n<p>\\[ \\Lambda^\\circ_m = 1 \\times 50.11 + 1 \\times 119.0 + 1 \\times 76.35 + 1 \\times 160.0 = 405.46 \\ \\text{S\u00b7cm}^2\\!\/\\text{mol} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(\\Lambda^\\circ_m = 405.46\\) S\u00b7cm\u00b2\/mol (yani 0,040546 S\u00b7m\u00b2\/mol).<\/p>\n<p>\u00d6te yandan \"\u0130kinci katyon ekle\" ve \"\u0130kinci anyon ekle\" kutular\u0131n\u0131n i\u015faretini kald\u0131r\u0131rsan\u0131z ayn\u0131 girdiler NaCl'e indirgenir: \\(\\Lambda^\\circ_m(\\text{NaCl}) = 50.11 + 76.35 = 126.46\\) S\u00b7cm\u00b2\/mol; bu, tablolarda yer alan kabul g\u00f6rm\u00fc\u015f de\u011ferdir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Katyon ad\u0131n\u0131<\/strong> (iste\u011fe ba\u011fl\u0131d\u0131r, yaln\u0131zca etiketleme i\u00e7in kullan\u0131l\u0131r) ve S\u00b7cm\u00b2\/mol cinsinden <strong>limit molar iletkenli\u011fini (\u03bb\u00b0\u208a)<\/strong> girin; \u00f6rne\u011fin Na\u207a i\u00e7in 50,11.<\/li>\n<li>Katyonun <strong>stokiyometrik katsay\u0131s\u0131n\u0131 (\u03bd\u208a)<\/strong> belirleyin \u2014 bu, form\u00fcl birimi ba\u015f\u0131na ka\u00e7 tane b\u00f6yle katyon d\u00fc\u015ft\u00fc\u011f\u00fcd\u00fcr; \u00f6rne\u011fin Na\u2082SO\u2084'teki Na\u207a i\u00e7in 2.<\/li>\n<li>Tuz iki farkl\u0131 katyon i\u00e7eriyorsa (\u00f6rne\u011fin KAl(SO\u2084)\u2082) <strong>\u0130kinci katyon ekle<\/strong> kutusunu i\u015faretleyin ve ikinci katyonun ad\u0131n\u0131, \u03bb\u00b0 de\u011ferini ve katsay\u0131s\u0131n\u0131 girin; i\u00e7ermiyorsa kutuyu i\u015faretsiz b\u0131rak\u0131n.<\/li>\n<li>Ayn\u0131 ad\u0131mlar\u0131 anyon i\u00e7in yineleyin: <strong>Anyon ad\u0131<\/strong>, <strong>limit molar iletkenlik (\u03bb\u00b0\u208b)<\/strong>, <strong>stokiyometrik katsay\u0131 (\u03bd\u208b)<\/strong> ve iste\u011fe ba\u011fl\u0131 olarak <strong>\u0130kinci anyon ekle<\/strong>.<\/li>\n<li><strong>\u00c7\u0131kt\u0131 birimini<\/strong> se\u00e7in \u2014 S\u00b7cm\u00b2\/mol (\u00e7o\u011fu veri tablosunda kullan\u0131lan birim) veya S\u00b7m\u00b2\/mol (SI birimi).<\/li>\n<li>Sonucu okuyun: <strong>limit molar iletkenlik (\u039b\u00b0\u2098)<\/strong>, iyon ba\u015f\u0131na katk\u0131 d\u00f6k\u00fcm\u00fc ve t\u00fcm yerine koyma i\u015flemi an\u0131nda g\u00f6r\u00fcnt\u00fclenir.<\/li>\n<\/ol>\n<h2>Kohlrausch'un iyonlar\u0131n ba\u011f\u0131ms\u0131z g\u00f6\u00e7\u00fc yasas\u0131 nedir?<\/h2>\n<p>Elektrolit \u00e7\u00f6zeltisine elektrik alan\u0131 uyguland\u0131\u011f\u0131nda hem katyonlar hem de anyonlar g\u00f6\u00e7 eder ve ak\u0131m\u0131 ta\u015f\u0131rlar. Friedrich Kohlrausch (yakla\u015f\u0131k 1875'te), <em>sonsuz seyreltimede<\/em> \u2014 yani iyonlar birbirleriyle etkile\u015femeyecek kadar uzakta bulundu\u011funda \u2014 her iyonun kar\u015f\u0131 iyonundan ba\u011f\u0131ms\u0131z olarak g\u00f6\u00e7 etti\u011fini ke\u015ffetti. Bu nedenle elektrolitin molar iletkenli\u011fi, basit\u00e7e tek tek iyonik iletkenliklerin, her iyonun ayr\u0131\u015fma sonucu form\u00fcl biriminin \u00fcretti\u011fi say\u0131 ile \u00e7arp\u0131lm\u0131\u015f toplam\u0131d\u0131r.<\/p>\n<p>Klasik deneysel kan\u0131tlardan biri fark kural\u0131d\u0131r: \\(\\Lambda^\\circ_m(\\text{KCl}) - \\Lambda^\\circ_m(\\text{NaCl})\\), \\(\\Lambda^\\circ_m(\\text{KBr}) - \\Lambda^\\circ_m(\\text{NaBr})\\) de\u011ferine e\u015fittir; \u00e7\u00fcnk\u00fc anyonun katk\u0131s\u0131 iptal olur ve yaln\u0131zca K\u207a ile Na\u207a aras\u0131ndaki fark kal\u0131r. Hesaplay\u0131c\u0131n\u0131n yeniden \u00fcretti\u011fi \u015fey tam olarak bu toplanabilirlik \u00f6zelli\u011fidir.<\/p>\n<p>Yasa, asetik asit gibi <strong>zay\u0131f elektrolitler<\/strong> i\u00e7in en de\u011ferlidir. G\u00fc\u00e7l\u00fc elektrolitler Kohlrausch'un karek\u00f6k yasas\u0131na \\(\\Lambda_m = \\Lambda^\\circ_m - K\\sqrt{c}\\) uyar; bu y\u00fczden limit iletkenlikleri, \u00f6l\u00e7\u00fclen de\u011ferlerin s\u0131f\u0131r deri\u015fime do\u011fru ekstrapolasyonuyla bulunabilir. Zay\u0131f elektrolitler ise d\u00fc\u015f\u00fck deri\u015fimde bile yaln\u0131zca k\u0131smen ayr\u0131\u015ft\u0131\u011f\u0131ndan ekstrapolasyon i\u015fe yaramaz \u2014 Kohlrausch yasas\u0131 ise yan\u0131t\u0131 do\u011frudan verir: \\(\\Lambda^\\circ_m(\\text{CH}_3\\text{COOH}) = \\lambda^\\circ(\\text{H}^+) + \\lambda^\\circ(\\text{CH}_3\\text{COO}^-) = 349.65 + 40.9 \\approx 390.6\\) S\u00b7cm\u00b2\/mol.<\/p>\n<p>Bir kez \\(\\Lambda^\\circ_m\\) de\u011ferini bildikten sonra, onu \\(c\\) deri\u015fiminde \u00f6l\u00e7\u00fclen molar iletkenlik \\(\\Lambda_m\\) ile kar\u015f\u0131la\u015ft\u0131rmak ayr\u0131\u015fma derecesini \\(\\alpha = \\Lambda_m \/ \\Lambda^\\circ_m\\) verir \u2014 bu, ayr\u0131\u015fma sabiti ve \u00e7\u00f6z\u00fcn\u00fcrl\u00fck problemlerinde izlenen standart yoldur. <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/molar-conductivity-calculator\/\">Molar \u0130letkenlik Hesaplay\u0131c\u0131m\u0131z<\/a> \\(\\Lambda_m = \\kappa \/ c\\) ad\u0131m\u0131n\u0131 yapar; <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/solubility-product-ksp-calculator\/\">\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00c7arp\u0131m\u0131 Hesaplay\u0131c\u0131s\u0131<\/a> ise az \u00e7\u00f6z\u00fcnen tuzlarla ilgili uygulamalar\u0131 kapsar.<\/p>\n<h2>Varsay\u0131mlar ve s\u0131n\u0131rlamalar<\/h2>\n<ul>\n<li><strong>Sonsuz seyreltme:<\/strong> yasa yaln\u0131zca \\(c \\to 0\\) limitinde kesin olarak ge\u00e7erlidir. Ger\u00e7ek deri\u015fimlerde iyon\u2013iyon etkile\u015fimleri (iyon atmosferleri) \\(\\Lambda_m\\)'yi \\(\\Lambda^\\circ_m\\)'nin alt\u0131na d\u00fc\u015f\u00fcr\u00fcr; g\u00fc\u00e7l\u00fc elektrolitlerde bu \\(\\Lambda_m = \\Lambda^\\circ_m - K\\sqrt{c}\\) ba\u011f\u0131nt\u0131s\u0131yla a\u00e7\u0131klan\u0131r. S\u0131n\u0131rl\u0131 deri\u015fimde aktivitelerin nas\u0131l sapt\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/debye-huckel-aktivite-katsayisi\/\">Debye\u2013H\u00fcckel Aktivite Katsay\u0131s\u0131 Hesaplay\u0131c\u0131s\u0131<\/a>'na bak\u0131n.<\/li>\n<li><strong>S\u0131cakl\u0131k:<\/strong> tablolardaki \u03bb\u00b0 de\u011ferleri 25 \u00b0C'de suda \u00f6l\u00e7\u00fclm\u00fc\u015f olanlard\u0131r. \u0130letkenlik derece ba\u015f\u0131na kabaca %2\u20133 artar; bu nedenle y\u00fcksek do\u011fruluk \u00f6nemliyse kendi s\u0131cakl\u0131\u011f\u0131n\u0131zda \u00f6l\u00e7\u00fclm\u00fc\u015f de\u011ferleri kullan\u0131n.<\/li>\n<li><strong>Mol iyon ba\u015f\u0131na:<\/strong> \u03bb\u00b0, yaz\u0131ld\u0131\u011f\u0131 h\u00e2liyle mol iyon ba\u015f\u0131na tan\u0131mlan\u0131r, y\u00fck birimi ba\u015f\u0131na de\u011fil. Ca\u00b2\u207a i\u00e7in \u03bb\u00b0 = 119,0 S\u00b7cm\u00b2\/mol de\u011feri \u00e7ift y\u00fck\u00fc zaten i\u00e7erir \u2014 bir kez daha 2 ile \u00e7arpmay\u0131n.<\/li>\n<li><strong>Y\u00fck n\u00f6trl\u00fc\u011f\u00fc:<\/strong> stokiyometrik katsay\u0131lar n\u00f6tr bir form\u00fcl birimini tan\u0131mlamal\u0131d\u0131r (\\(\\sum \\nu_+ z_+ = \\sum \\nu_- z_-\\)); aksi h\u00e2lde girilen \"tuz\" var olamaz ve toplam anlams\u0131zd\u0131r.<\/li>\n<li><strong>Sonsuz seyreltimede tam ayr\u0131\u015fma:<\/strong> zay\u0131f elektrolitler bile \\(c \\to 0\\) limitinde tamamen ayr\u0131\u015fm\u0131\u015f kabul edilir; k\u0131smi ayr\u0131\u015fma yaln\u0131zca s\u0131n\u0131rl\u0131 deri\u015fimde \u00f6nem ta\u015f\u0131r.<\/li>\n<li><strong>Birim d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> 1 S\u00b7cm\u00b2\/mol = 10\u207b\u2074 S\u00b7m\u00b2\/mol. Veri tablolar\u0131 neredeyse her zaman S\u00b7cm\u00b2\/mol kullan\u0131r; hesaplay\u0131c\u0131n\u0131n varsay\u0131lan giri\u015f birimi de budur.<\/li>\n<\/ul>\n<h2>Referans: Yayg\u0131n iyonlar\u0131n limit molar iletkenlikleri (25 \u00b0C, S\u00b7cm\u00b2\/mol)<\/h2>\n<table>\n<thead>\n<tr>\n<th>Katyon<\/th>\n<th>\u03bb\u00b0<\/th>\n<th>Anyon<\/th>\n<th>\u03bb\u00b0<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>H\u207a<\/td>\n<td>349,65<\/td>\n<td>OH\u207b<\/td>\n<td>198,3<\/td>\n<\/tr>\n<tr>\n<td>Li\u207a<\/td>\n<td>38,7<\/td>\n<td>Cl\u207b<\/td>\n<td>76,35<\/td>\n<\/tr>\n<tr>\n<td>Na\u207a<\/td>\n<td>50,11<\/td>\n<td>Br\u207b<\/td>\n<td>78,1<\/td>\n<\/tr>\n<tr>\n<td>K\u207a<\/td>\n<td>73,5<\/td>\n<td>I\u207b<\/td>\n<td>76,8<\/td>\n<\/tr>\n<tr>\n<td>NH\u2084\u207a<\/td>\n<td>73,5<\/td>\n<td>NO\u2083\u207b<\/td>\n<td>71,5<\/td>\n<\/tr>\n<tr>\n<td>Ag\u207a<\/td>\n<td>61,9<\/td>\n<td>HCO\u2083\u207b<\/td>\n<td>44,5<\/td>\n<\/tr>\n<tr>\n<td>Mg\u00b2\u207a<\/td>\n<td>106,1<\/td>\n<td>CH\u2083COO\u207b<\/td>\n<td>40,9<\/td>\n<\/tr>\n<tr>\n<td>Ca\u00b2\u207a<\/td>\n<td>119,0<\/td>\n<td>SO\u2084\u00b2\u207b<\/td>\n<td>160,0<\/td>\n<\/tr>\n<tr>\n<td>Ba\u00b2\u207a<\/td>\n<td>127,2<\/td>\n<td>\u00bdSO\u2084\u00b2\u207b (e\u015fde\u011fer ba\u015f\u0131na)<\/td>\n<td>80,0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Bu de\u011ferleri hesaplay\u0131c\u0131n\u0131n \u03bb\u00b0 alanlar\u0131na do\u011frudan girebilirsiniz. H\u207a ve OH\u207b i\u00e7in ola\u011fan\u00fcst\u00fc y\u00fcksek de\u011ferlere dikkat edin \u2014 bunun nedeni sudaki Grotthuss mekanizmas\u0131yla protonlar\u0131n s\u0131\u00e7ramal\u0131 ta\u015f\u0131nmas\u0131d\u0131r; g\u00fc\u00e7l\u00fc asitlerin ve bazlar\u0131n tuzlar\u0131ndan \u00e7ok daha iyi iletken olmalar\u0131n\u0131 da yine bu a\u00e7\u0131klar.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kohlrausch'un iyonlar\u0131n ba\u011f\u0131ms\u0131z g\u00f6\u00e7\u00fc yasas\u0131na g\u00f6re, herhangi bir elektrolitin sonsuz seyreltimedeki limit molar iletkenli\u011fini iyonik iletkenlikler ve stokiyometrik katsay\u0131lardan hesaplay\u0131n.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[69],"class_list":["post-3996","post","type-post","status-publish","format-standard","hentry","category-kimya","tag-stokiyometri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3996","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3996"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3996\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}