{"id":4071,"date":"2026-10-15T03:00:22","date_gmt":"2026-10-15T02:00:22","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/kimya\/cozunurluk-carpimi-ksp-hesaplama\/"},"modified":"2026-10-15T03:00:22","modified_gmt":"2026-10-15T02:00:22","slug":"cozunurluk-carpimi-ksp-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/kimya\/cozunurluk-carpimi-ksp-hesaplama\/","title":{"rendered":"\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131 (Ksp) hesaplama"},"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\">Molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fckten Ksp hesaplama<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4071\" data-favorite-title=\"\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/kimya\/cozunurluk-carpimi-ksp-hesaplama\/\" data-favorite-excerpt=\"Az \u00e7\u00f6z\u00fcn\u00fcr bir tuzun molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fcnden \u00e7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131n\u0131 (Ksp) hesaplay\u0131n. \u00c7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fc, birimini ve AaBb form\u00fcl\u00fcndeki katyon ile anyon katsay\u0131lar\u0131n\u0131 girin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-chemistry-1\">\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\/cozunurluk-carpimi-ksp-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4071\" data-post=\"4071\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fck (s)<\/label><div class=\"term\">s<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"molar_znrlk_s\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.00021\" min=\"0\" value=\"0.00021\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"molL\" selected>mol\/L<\/option><option value=\"mmolL\">mmol\/L<\/option><option value=\"gL\">g\/L<\/option><option value=\"mgL\">mg\/L<\/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><small id=\"calc-info-1\">Tuzun denge h\u00e2linde saf sudaki \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fc. De\u011feri yaln\u0131zca g\/L veya mg\/L cinsinden biliyorsan\u0131z o birimi se\u00e7in ve mol k\u00fctlesini a\u015fa\u011f\u0131ya girin.<\/small><\/div><div class=\"field has-term\" id=\"input-2\" hidden><label for=\"field-3\">Tuzun mol k\u00fctlesi (M)<\/label><div class=\"term\">M<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"tuzun_mol_ktlesi_m\" id=\"field-3\" aria-describedby=\"calc-unit-3 calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 78.07\" min=\"0\" value=\"78.07\"\/><div class=\"unit\" id=\"calc-unit-3\">g\/mol<\/div><small id=\"calc-info-3\">Yaln\u0131zca \u00e7\u00f6z\u00fcn\u00fcrl\u00fck g\/L veya mg\/L cinsinden verildi\u011finde, mol\/L&#039;ye d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in gereklidir (\u00f6rn. CaF\u2082 = 78,07 g\/mol).<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">Katyon katsay\u0131s\u0131 (a)<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"katyon_katsays_a\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1\" min=\"1\" max=\"12\" value=\"1\"\/><small id=\"calc-info-4\">Bir form\u00fcl birimindeki katyon say\u0131s\u0131 (\u00f6rn. CaF\u2082&#039;de Ca\u00b2\u207a i\u00e7in 1, Ag\u2082CrO\u2084&#039;te Ag\u207a i\u00e7in 2).<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-5\">Anyon katsay\u0131s\u0131 (b)<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"anyon_katsays_b\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 2\" min=\"1\" max=\"12\" value=\"2\"\/><small id=\"calc-info-5\">Bir form\u00fcl birimindeki anyon say\u0131s\u0131 (\u00f6rn. CaF\u2082&#039;de F\u207b i\u00e7in 2, Ag\u2082CrO\u2084&#039;te CrO\u2084\u00b2\u207b i\u00e7in 1).<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4071\">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> \u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131 sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131<\/span><span class=\"result-term\">Ksp<\/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\" id=\"output-2\"><span class=\"field-title\"><span>Dengedeki katyon deri\u015fimi<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"mol\/L\"><\/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\" id=\"output-3\"><span class=\"field-title\"><span>Dengedeki anyon deri\u015fimi<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"mol\/L\"><\/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>Hesaplama ayr\u0131nt\u0131lar\u0131<\/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 class=\"field-result is-column\" id=\"output-5\"><span class=\"field-title\"><span>Yayg\u0131n Ksp de\u011ferleri (25 \u00b0C)<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/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=\"4071\" 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>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131<\/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\\[ K_{sp} = [A]^a[B]^b = (a\\,s)^a\\,(b\\,s)^b = a^a \\cdot b^b \\cdot s^{\\,a+b} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(s\\) \u2014 tuzun saf sudaki molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fc (mol\/L)<\/li>\n<li>\\(a\\) \u2014 bir form\u00fcl biriminin serbest b\u0131rakt\u0131\u011f\u0131 katyon say\u0131s\u0131<\/li>\n<li>\\(b\\) \u2014 bir form\u00fcl biriminin serbest b\u0131rakt\u0131\u011f\u0131 anyon say\u0131s\u0131<\/li>\n<li>\\([A]\\), \\([B]\\) \u2014 denge h\u00e2lindeki iyon deri\u015fimleri (mol\/L)<\/li>\n<\/ul>\n<p>\\(A_aB_b\\) tuzu \\(A_aB_b(s) \\rightleftharpoons aA^{}+bB\\) bi\u00e7iminde \u00e7\u00f6z\u00fcnd\u00fc\u011f\u00fcnde, \u00e7\u00f6z\u00fcnen her form\u00fcl birimi \\(a\\) katyon ve \\(b\\) anyon serbest b\u0131rak\u0131r; dolay\u0131s\u0131yla \\([A] = a\\,s\\) ve \\([B] = b\\,s\\) olur. Bu de\u011ferleri denge ifadesinde yerine koydu\u011funuzda \\(K_{sp}\\) do\u011frudan molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fckten bulunur.<\/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>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131 \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> kalsiyum flor\u00fcr, CaF\\(_2\\), 25 \\(^\\circ\\)C'de saf suda \\(2.1\\times10^{-4}\\) mol\/L molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011fe sahiptir. Her form\u00fcl birimi bir Ca\\(^{2+}\\) ve iki F\\(^{-}\\) iyonu serbest b\u0131rak\u0131r; bu nedenle \\(a = 1\\) ve \\(b = 2\\) olur.<\/p>\n<p>\\[ [\\mathrm{Ca^{2+}}] = s = 2.1\\times10^{-4}\\ \\mathrm{mol\/L}, \\quad [\\mathrm{F^-}] = 2s = 4.2\\times10^{-4}\\ \\mathrm{mol\/L} \\]<\/p>\n<p>\\[ K_{sp} = [\\mathrm{Ca^{2+}}][\\mathrm{F^-}]^2 = (s)(2s)^2 = 4s^3 = 4\\,(2.1\\times10^{-4})^3 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(K_{sp} \\approx 3.7\\times10^{-11}\\) olup bu de\u011fer, 25 \\(^\\circ\\)C'de CaF\\(_2\\) i\u00e7in literat\u00fcrde verilen \\(3.9\\times10^{-11}\\) de\u011feriyle uyumludur.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r<\/h2>\n<ol>\n<li>Tuzun \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fcn\u00fc <strong>Molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fck (s)<\/strong> alan\u0131na girin ve a\u00e7\u0131l\u0131r listeden birimini (mol\/L, mmol\/L, g\/L veya mg\/L) se\u00e7in.<\/li>\n<li>g\/L veya mg\/L se\u00e7tiyseniz <strong>Tuzun molar k\u00fctlesi (M)<\/strong> alan\u0131 g\u00f6r\u00fcn\u00fcr \u2014 de\u011ferin mol\/L'ye d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilmesi i\u00e7in tuzun molar k\u00fctle\u00adsini g\/mol cinsinden girin. Emin de\u011filseniz <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/kimyasal-formulden-yuzde-bilesim-hesaplama\/\">kimyasal form\u00fclden y\u00fczde bile\u015fim hesaplama arac\u0131yla<\/a> bulabilirsiniz.<\/li>\n<li><strong>Katyon katsay\u0131s\u0131n\u0131 (a)<\/strong>, bir form\u00fcl birimindeki katyon say\u0131s\u0131na ayarlay\u0131n (CaF\\(_2\\) i\u00e7indeki Ca\\(^{2+}\\) i\u00e7in 1, Ag\\(_2\\)CrO\\(_4\\) i\u00e7indeki Ag\\(^+\\) i\u00e7in 2).<\/li>\n<li><strong>Anyon katsay\u0131s\u0131n\u0131 (b)<\/strong>, bir form\u00fcl birimindeki anyon say\u0131s\u0131na ayarlay\u0131n (CaF\\(_2\\) i\u00e7indeki F\\(^{-\\) i\u00e7in 2, CrO\\(_4^{2-}\\) i\u00e7in 1).<\/li>\n<li><strong>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131n\u0131<\/strong>, denge h\u00e2lindeki katyon ve anyon deri\u015fimlerini, hesaplaman\u0131n t\u00fcm ayr\u0131nt\u0131lar\u0131n\u0131 ve kar\u015f\u0131la\u015ft\u0131rma i\u00e7in yayg\u0131n literat\u00fcr \\(K_{sp}\\) de\u011ferlerini i\u00e7eren tabloyu g\u00f6r\u00fcn.<\/li>\n<\/ol>\n<h2>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131 nedir<\/h2>\n<p>\u00c7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131 \\(K_{sp}\\), suda az \u00e7\u00f6z\u00fcnen iyonik bir kat\u0131n\u0131n \u00e7\u00f6z\u00fcnme dengesinin denge sabitidir. AgCl veya CaF\\(_2\\) gibi bir tuz suya eklendi\u011finde, \u00e7\u00f6zelti doygun h\u00e2le gelene kadar \u00e7\u00f6z\u00fcn\u00fcr; bu noktada kat\u0131 ile \u00e7\u00f6z\u00fcnm\u00fc\u015f iyonlar\u0131 dinamik bir dengededir. \u0130yi \u00e7\u00f6z\u00fcnen tuzlar\u0131n aksine bu bile\u015fikler yaln\u0131zca \u00e7ok k\u00fc\u00e7\u00fck bir \u00f6l\u00e7\u00fcde \u00e7\u00f6z\u00fcn\u00fcr ve \\(K_{sp}\\) bu \u00f6l\u00e7\u00fcn\u00fcn ne kadar k\u00fc\u00e7\u00fck oldu\u011funu tam olarak say\u0131salla\u015ft\u0131r\u0131r.<\/p>\n<p>\\(K_{sp}\\) yaln\u0131zca s\u0131cakl\u0131\u011fa (genellikle 25 \\(^\\circ\\)C'de tablola\u015ft\u0131r\u0131l\u0131r) ve tuzun kimli\u011fine ba\u011fl\u0131d\u0131r; \u00e7\u00f6z\u00fcnmemi\u015f bir miktar kat\u0131 kald\u0131\u011f\u0131 s\u00fcrece ne kadar kat\u0131 bulundu\u011funa ba\u011fl\u0131 de\u011fildir. Daha k\u00fc\u00e7\u00fck bir \\(K_{sp}\\), daha az \u00e7\u00f6z\u00fcnen bir tuz anlam\u0131na gelir. \u00d6rne\u011fin AgBr (\\(K_{sp} = 5.4\\times10^{-13}\\)), CaSO\\(_4\\) (\\(K_{sp} = 2.4\\times10^{-5}\\)) y\u00f6n\u00fcnden \u00e7ok daha az \u00e7\u00f6z\u00fcn\u00fcr.<\/p>\n<p>\u00d6nemli bir ince nokta ise stokiyometridir. \u0130yon oranlar\u0131 farkl\u0131 olan tuzlar\u0131n \\(K_{sp}\\) de\u011ferleri do\u011frudan kar\u015f\u0131la\u015ft\u0131r\u0131lamaz: CaF\\(_2\\) i\u00e7in \\(K_{sp} = 4s^3\\), buna kar\u015f\u0131l\u0131k AgCl i\u00e7in \\(K_{sp} = s^2\\)dir. \\(K_{sp}\\) ile molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fck aras\u0131ndaki ili\u015fki her zaman \\(a\\) ve \\(b\\) katsay\u0131lar\u0131ndan ge\u00e7er; hesaplay\u0131c\u0131n\u0131n bu de\u011ferleri sormas\u0131n\u0131n nedeni de budur.<\/p>\n<p>\\(K_{sp}\\), iki \u00e7\u00f6zelti kar\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7\u00f6kelme olup olmayaca\u011f\u0131n\u0131 \u00f6ng\u00f6rmenin de temelidir \u2014 iyon \u00e7arp\u0131m\u0131n\u0131 \\(K_{sp}\\) ile <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/cokelme-tahmini-hesaplayici\/\">\u00e7\u00f6kelme \u00f6ng\u00f6r\u00fcs\u00fc hesaplama arac\u0131nda<\/a> kar\u015f\u0131la\u015ft\u0131rabilirsiniz. Ayn\u0131 denge; ortak iyon etkisini, kalitatif analizdeki ay\u0131rma i\u015flemlerini ve <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/su-sertligi-hesaplama\/\">su sertli\u011fi hesaplama arac\u0131n\u0131n<\/a> \u00f6l\u00e7t\u00fc\u011f\u00fc kire\u00e7 olu\u015fturan minerallerin davran\u0131\u015f\u0131n\u0131 y\u00f6netir.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Saf su, ba\u015fka iyon kayna\u011f\u0131 yok.<\/strong> Form\u00fcl, \u00e7\u00f6z\u00fcnen tuzun her iki iyonun da tek kayna\u011f\u0131 oldu\u011funu varsayar. \u00c7\u00f6zelti zaten bir ortak iyon i\u00e7eriyorsa (\u00f6rne\u011fin NaF'den gelen F\\(^{-\\)), \u00e7\u00f6z\u00fcn\u00fcrl\u00fck d\u00fc\u015fer ve yaln\u0131zca \\(s\\) kullan\u0131lan basit hesap ge\u00e7erlili\u011fini yitirir.<\/li>\n<li><strong>Yan reaksiyon yok.<\/strong> Hidroliz eden, kompleks olu\u015fturan veya suyla tepkimeye giren iyonlar (karbonatlar, s\u00fclf\u00fcrler, zay\u0131f asit veya bazlar\u0131n tuzlar\u0131), basit \\(K_{sp}\\) modelinden farkl\u0131 g\u00f6r\u00fcnen \u00e7\u00f6z\u00fcn\u00fcrl\u00fckler g\u00f6sterir. \u00d6rne\u011fin Mg(OH)\\(_2\\), pH'a ba\u011fl\u0131 OH\\(^{-\\) deri\u015fiminden etkilenir.<\/li>\n<li><strong>Deri\u015fimler aktiviteye yakla\u015ft\u0131r\u0131l\u0131r.<\/strong> Kat\u0131 bi\u00e7imiyle \\(K_{sp}\\) iyon aktiviteleriyle yaz\u0131l\u0131r. Az \u00e7\u00f6z\u00fcnen tuzlar\u0131n seyrek doygun \u00e7\u00f6zeltileri i\u00e7in bu yakla\u015f\u0131klama m\u00fckemmeldir; hesaplay\u0131c\u0131n\u0131n yakla\u015f\u0131k 0,1 mol\/L'nin \u00fczerindeki \u00e7\u00f6z\u00fcn\u00fcrl\u00fckleri reddetmesinin nedeni de budur.<\/li>\n<li><strong>S\u0131cakl\u0131k \u00f6nemlidir.<\/strong> T\u00fcm sonu\u00e7lar 25 \\(^\\circ\\)C varsayar. Endotermik \u00e7\u00f6z\u00fcnmelerde \u00e7\u00f6z\u00fcn\u00fcrl\u00fck genellikle s\u0131cakl\u0131kla artar, dolay\u0131s\u0131yla \\(K_{sp}\\) de buna g\u00f6re de\u011fi\u015fir \u2014 denge sabitlerinin s\u0131cakl\u0131k ba\u011f\u0131ml\u0131l\u0131\u011f\u0131 i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/van-t-hoff-denklem-hesaplayici\/\">Van 't Hoff denklemi hesaplama arac\u0131na<\/a> bak\u0131n.<\/li>\n<li><strong>Literat\u00fcr de\u011ferleriyle kar\u015f\u0131la\u015ft\u0131r\u0131n.<\/strong> Sonucunuzu \u00e7\u0131kt\u0131da g\u00f6sterilen referans tabloyla kar\u015f\u0131la\u015ft\u0131rmak h\u0131zl\u0131 bir sa\u011flama yoludur; k\u00fc\u00e7\u00fck sapmalar \u00e7\u00f6z\u00fcn\u00fcrl\u00fck verilerindeki yuvarlamadan ve iyonik \u015fiddet etkilerinden kaynaklan\u0131r.<\/li>\n<\/ul>\n<h2>25 \\(^\\circ\\)C'deki yayg\u0131n Ksp de\u011ferleri<\/h2>\n<table>\n<thead>\n<tr>\n<th>Tuz<\/th>\n<th>\u00c7\u00f6z\u00fcnme dengesi<\/th>\n<th>\\(K_{sp}\\)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>AgCl<\/td>\n<td>\\(\\mathrm{AgCl \\rightleftharpoons Ag^+ + Cl^-}\\)<\/td>\n<td>\\(1.8\\times10^{-10}\\)<\/td>\n<\/tr>\n<tr>\n<td>AgBr<\/td>\n<td>\\(\\mathrm{AgBr \\rightleftharpoons Ag^+ + Br^-}\\)<\/td>\n<td>\\(5.4\\times10^{-13}\\)<\/td>\n<\/tr>\n<tr>\n<td>Ag\\(_2\\)CrO\\(_4\\)<\/td>\n<td>\\(\\mathrm{Ag_2CrO_4 \\rightleftharpoons 2Ag^+ + CrO_4^{2-}}\\)<\/td>\n<td>\\(1.1\\times10^{-12}\\)<\/td>\n<\/tr>\n<tr>\n<td>BaSO\\(_4\\)<\/td>\n<td>\\(\\mathrm{BaSO_4 \\rightleftharpoons Ba^{2+} + SO_4^{2-}}\\)<\/td>\n<td>\\(1.1\\times10^{-10}\\)<\/td>\n<\/tr>\n<tr>\n<td>CaCO\\(_3\\) (kalsit)<\/td>\n<td>\\(\\mathrm{CaCO_3 \\rightleftharpoons Ca^{2+} + CO_3^{2-}}\\)<\/td>\n<td>\\(3.3\\times10^{-9}\\)<\/td>\n<\/tr>\n<tr>\n<td>CaF\\(_2\\)<\/td>\n<td>\\(\\mathrm{CaF_2 \\rightleftharpoons Ca^{2+} + 2F^-}\\)<\/td>\n<td>\\(3.9\\times10^{-11}\\)<\/td>\n<\/tr>\n<tr>\n<td>CaSO\\(_4\\)<\/td>\n<td>\\(\\mathrm{CaSO_4 \\rightleftharpoons Ca^{2+} + SO_4^{2-}}\\)<\/td>\n<td>\\(2.4\\times10^{-5}\\)<\/td>\n<\/tr>\n<tr>\n<td>Mg(OH)\\(_2\\)<\/td>\n<td>\\(\\mathrm{Mg(OH)_2 \\rightleftharpoons Mg^{2+} + 2OH^-}\\)<\/td>\n<td>\\(5.6\\times10^{-12}\\)<\/td>\n<\/tr>\n<tr>\n<td>PbI\\(_2\\)<\/td>\n<td>\\(\\mathrm{PbI_2 \\rightleftharpoons Pb^{2+} + 2I^-}\\)<\/td>\n<td>\\(7.1\\times10^{-9}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Bu de\u011ferler hesaplaman\u0131z\u0131 do\u011frulamak i\u00e7in yararl\u0131d\u0131r: bu tuzlardan herhangi birinin literat\u00fcrdeki \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fcn\u00fc do\u011fru katsay\u0131larla girdi\u011finizde, tablodaki \\(K_{sp}\\) de\u011feri yuvarlama hatas\u0131 s\u0131n\u0131rlar\u0131 i\u00e7inde yeniden elde edilir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Az \u00e7\u00f6z\u00fcn\u00fcr bir tuzun molar \u00e7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fcnden \u00e7\u00f6z\u00fcn\u00fcrl\u00fck \u00e7arp\u0131m\u0131n\u0131 (Ksp) hesaplay\u0131n. \u00c7\u00f6z\u00fcn\u00fcrl\u00fc\u011f\u00fc, birimini ve AaBb form\u00fcl\u00fcndeki katyon ile anyon katsay\u0131lar\u0131n\u0131 girin.<\/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":[65],"class_list":["post-4071","post","type-post","status-publish","format-standard","hentry","category-kimya","tag-reaksiyonlar"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4071","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=4071"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4071\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}