{"id":3831,"date":"2026-10-07T12:27:58","date_gmt":"2026-10-07T11:27:58","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/kimya\/radyoaktif-bozunma-hesaplayici\/"},"modified":"2026-10-07T12:27:58","modified_gmt":"2026-10-07T11:27:58","slug":"radyoaktif-bozunma-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/kimya\/radyoaktif-bozunma-hesaplayici\/","title":{"rendered":"Radyoaktif bozunma 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\">Radyoaktif bir izotopun kalan miktar\u0131n\u0131 bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3831\" data-favorite-title=\"Radyoaktif bozunma\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/kimya\/radyoaktif-bozunma-hesaplayici\/\" data-favorite-excerpt=\"Radyoaktif bir izotopun herhangi bir s\u00fcre sonunda ne kadar kald\u0131\u011f\u0131n\u0131 hesaplay\u0131n. Ba\u015flang\u0131\u00e7 miktar\u0131n\u0131 veya aktiviteyi, yar\u0131 \u00f6mr\u00fc ve ge\u00e7en s\u00fcreyi girin; kalan miktar\u0131, bozunma sabitini ve yar\u0131 \u00f6m\u00fcr say\u0131s\u0131n\u0131 \u00f6\u011frenin.\" 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\/radyoaktif-bozunma-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3831\" data-post=\"3831\"><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\">Ba\u015flang\u0131\u00e7 miktar\u0131 veya aktivitesi (N\u2080)<\/label><div class=\"term\">N\u2080<\/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=\"balang_miktar_veya_aktivitesi_n\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 100\" min=\"0\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"g\" selected>g<\/option><option value=\"mg\">mg<\/option><option value=\"kg\">kg<\/option><option value=\"mol\">mol<\/option><option value=\"Bq\">Bq<\/option><option value=\"MBq\">MBq<\/option><option value=\"Ci\">Ci<\/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\">\u0130zotopun ba\u015flang\u0131\u00e7 k\u00fctlesi, atom say\u0131s\u0131, mol say\u0131s\u0131 veya aktivitesi<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Yar\u0131 \u00f6m\u00fcr (t\u00bd)<\/label><div class=\"term\">t\u00bd<\/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=\"yar_mr_t\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 5730\" min=\"0\" value=\"5730\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"sec\">saniye<\/option><option value=\"min\">minutes<\/option><option value=\"hr\">saat<\/option><option value=\"day\">g\u00fcn<\/option><option value=\"yr\" selected>y\u0131l<\/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-3\">Miktar\u0131n yar\u0131s\u0131na d\u00fc\u015fmesi i\u00e7in ge\u00e7en s\u00fcre (varsay\u0131lan: karbon-14)<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Ge\u00e7en s\u00fcre (t)<\/label><div class=\"term\">t<\/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=\"geen_sre_t\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 11460\" min=\"0\" value=\"11460\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"birim\" aria-label=\"Birim\"><option value=\"sec\">saniye<\/option><option value=\"min\">minutes<\/option><option value=\"hr\">saat<\/option><option value=\"day\">g\u00fcn<\/option><option value=\"yr\" selected>y\u0131l<\/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-5\">\u0130lk \u00f6l\u00e7\u00fcmden bu yana ge\u00e7en s\u00fcre<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3831\">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> Radyoaktif bozunma sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Kalan miktar veya aktivite (N\u2080 ile ayn\u0131 birim)<\/span><span class=\"result-term\">N<\/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>Bozunan kesir<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"%\"><\/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>Kalan kesir<\/span><\/span><span class=\"field-value\" id=\"result-3\" data-unit=\"%\"><\/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-4\"><span class=\"field-title\"><span>Yar\u0131 \u00f6m\u00fcr say\u0131s\u0131<\/span><span class=\"result-term\">n<\/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>Bozunma sabiti ve ayr\u0131nt\u0131lar<\/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=\"3831\" 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>Radyoaktif bozunma 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\\[ N = N_0 \\cdot 2^{-t\/t_{1\/2}} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(N\\) \u2014 \\(t\\) s\u00fcresi sonunda kalan miktar veya aktivite, \\(N_0\\) ile ayn\u0131 birimde<\/li>\n<li>\\(N_0\\) \u2014 ba\u015flang\u0131\u00e7 miktar\u0131 veya aktivitesi (g, mol, Bq, Ci ya da atom say\u0131s\u0131)<\/li>\n<li>\\(t\\) \u2014 ge\u00e7en s\u00fcre<\/li>\n<li>\\(t_{1\/2}\\) \u2014 izotopun yar\u0131 \u00f6mr\u00fc, \\(t\\) ile ayn\u0131 zaman biriminde<\/li>\n<\/ul>\n<p>Form\u00fcl \u00fcstel bozunmay\u0131 ifade eder: bir yar\u0131 \u00f6m\u00fcr ge\u00e7ti\u011finde kalan miktar yar\u0131ya iner. E\u015fde\u011fer bir bi\u00e7imde bozunma sabiti \\(\\lambda = \\ln 2 \/ t_{1\/2}\\) kullan\u0131l\u0131r ve \\(N = N_0 e^{-\\lambda t}\\) elde edilir.<\/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>Radyoaktif bozunma \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> bir \u00f6rnek ba\u015flang\u0131\u00e7ta, yar\u0131 \u00f6mr\u00fc 5730 y\u0131l olan karbon-14'ten 100 g i\u00e7eriyor. 11460 y\u0131l sonra ne kadar\u0131 kal\u0131r?<\/p>\n<p>\\[ n = \\frac{t}{t_{1\/2}} = \\frac{11460}{5730} = 2 \\text{ yar\u0131 \u00f6m\u00fcr} \\]<\/p>\n<p>\\[ N = 100 \\cdot 2^{-2} = 100 \\cdot 0.25 = 25 \\text{ g} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> 25 g karbon-14 kal\u0131r; %75 bozunmu\u015f, %25 kalm\u0131\u015ft\u0131r ve 2 yar\u0131 \u00f6m\u00fcr ge\u00e7mi\u015ftir. Bozunma sabiti \\(\\lambda\\), y\u0131l ba\u015f\u0131na \\(1.2097 \\times 10^{-4}\\) (saniye ba\u015f\u0131na yakla\u015f\u0131k \\(3.833 \\times 10^{-12}\\)) de\u011ferindedir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Ba\u015flang\u0131\u00e7 miktar\u0131n\u0131 veya aktiviteyi (N\u2080)<\/strong> girin \u2014 bir k\u00fctle, atom say\u0131s\u0131, mol say\u0131s\u0131 ya da aktivite \u2014 ve birimini se\u00e7in (g, mg, kg, mol, Bq, MBq veya Ci).<\/li>\n<li>\u0130zotopun <strong>yar\u0131 \u00f6mr\u00fcn\u00fc (t\u00bd)<\/strong> girin ve zaman birimini se\u00e7in (saniye, dakika, saat, g\u00fcn veya y\u0131l). \u00d6ntan\u0131ml\u0131 de\u011fer olan 5730 y\u0131l, karbon-14'\u00fcn yar\u0131 \u00f6mr\u00fcd\u00fcr.<\/li>\n<li>\u0130lk \u00f6l\u00e7\u00fcmden bu yana <strong>ge\u00e7en s\u00fcreyi (t)<\/strong> ve zaman birimini girin. Yar\u0131 \u00f6m\u00fcr ile ge\u00e7en s\u00fcre farkl\u0131 birimlerde olabilir \u2014 hesaplay\u0131c\u0131 bunlar\u0131 otomatik olarak d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: girdi\u011finiz birimle ayn\u0131 birimde <strong>kalan miktar veya aktivite (N)<\/strong>, y\u00fczde cinsinden <strong>bozunan kesir<\/strong> ve <strong>kalan kesir<\/strong>, <strong>yar\u0131 \u00f6m\u00fcr say\u0131s\u0131 (n)<\/strong> ve saniye ba\u015f\u0131na ile se\u00e7ti\u011finiz yar\u0131 \u00f6m\u00fcr birimi ba\u015f\u0131na <strong>bozunma sabiti<\/strong> \\(\\lambda\\).<\/li>\n<\/ol>\n<h2>Radyoaktif bozunma nedir?<\/h2>\n<p>Radyoaktif bozunma, karars\u0131z bir atom \u00e7ekirde\u011finin \u0131\u015f\u0131n\u0131m \u2014 alfa par\u00e7ac\u0131klar\u0131, beta par\u00e7ac\u0131klar\u0131 veya gama \u0131\u015f\u0131nlar\u0131 \u2014 yayarak enerji kaybetmesi ve farkl\u0131, daha kararl\u0131 bir \u00e7ekirde\u011fe d\u00f6n\u00fc\u015fmesiyle kendili\u011finden ger\u00e7ekle\u015fen s\u00fcre\u00e7tir. Bozunma tek tek atomlar d\u00fczeyinde rastlant\u0131sal, istatistiksel bir s\u00fcre\u00e7 oldu\u011fundan, saf bir izotopun b\u00fcy\u00fck bir \u00f6rne\u011fi t\u00fcm\u00fcyle \u00f6ng\u00f6r\u00fclebilir bir h\u0131zla bozunur: birim zamanda ger\u00e7ekle\u015fen bozunma say\u0131s\u0131 her zaman var olan atom say\u0131s\u0131yla orant\u0131l\u0131d\u0131r.<\/p>\n<p>Bu orant\u0131l\u0131l\u0131k \u00fcstel bozunmaya yol a\u00e7ar. <em>Yar\u0131 \u00f6m\u00fcr<\/em>, bir \u00f6rnekteki atomlar\u0131n yar\u0131s\u0131n\u0131n bozundu\u011fu karakteristik s\u00fcredir. Bir yar\u0131 \u00f6m\u00fcr sonunda izotopun %50'si, iki yar\u0131 \u00f6m\u00fcr sonunda %25'i, \u00fc\u00e7 yar\u0131 \u00f6m\u00fcr sonunda %12,5'i kal\u0131r ve b\u00f6yle gider. Miktar hi\u00e7bir zaman tam olarak s\u0131f\u0131ra ula\u015fmaz, ancak yakla\u015f\u0131k 7\u201310 yar\u0131 \u00f6m\u00fcr sonunda ihmal edilebilecek kadar k\u00fc\u00e7\u00fcl\u00fcr.<\/p>\n<p>\\(N\\) sonucu, ge\u00e7en s\u00fcrenin sonunda ba\u015flang\u0131\u00e7taki izotopun ne kadar\u0131n\u0131n h\u00e2l\u00e2 var oldu\u011funu g\u00f6sterir. \"Kaybolan\" madde yok olmam\u0131\u015ft\u0131r \u2014 yavru \u00fcr\u00fcne d\u00f6n\u00fc\u015fm\u00fc\u015ft\u00fcr. \u00d6rne\u011fin karbon-14 azot-14'e bozunur ve uranyum-238, bir bozunma zinciri sonunda kararl\u0131 kur\u015fun-206'ya d\u00f6n\u00fc\u015f\u00fcr. K\u00fctle yerine madde miktarlar\u0131yla \u00e7al\u0131\u015f\u0131yorsan\u0131z <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/atom-mol-cevirici\/\">atom\u2013mol d\u00f6n\u00fc\u015ft\u00fcr\u00fcc\u00fcs\u00fc<\/a> atomlarla mollar aras\u0131ndaki d\u00f6n\u00fc\u015f\u00fcmde size yard\u0131mc\u0131 olabilir.<\/p>\n<p>Bozunma denklemi atom say\u0131s\u0131yla orant\u0131l\u0131 <em>her<\/em> nicelik \u2014 k\u00fctle, mol, atom say\u0131s\u0131 ya da bekerel veya k\u00fcri cinsinden aktivite \u2014 i\u00e7in ge\u00e7erli oldu\u011fundan hesaplay\u0131c\u0131 bunlar\u0131n t\u00fcm\u00fcn\u00fc kabul eder. Y\u00fczde cinsinden kalan kesir, hangi birimi se\u00e7ti\u011finize bak\u0131lmaks\u0131z\u0131n ayn\u0131d\u0131r.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Saf izotop:<\/strong> hesaplama, ba\u015flang\u0131\u00e7 malzemesinin yaln\u0131zca ilgili izotopu i\u00e7erdi\u011fini varsayar. Ger\u00e7ek bir \u00f6rnekte yavru \u00fcr\u00fcnler ve di\u011fer safs\u0131zl\u0131klar, bozunma denkleminin hesaba katmad\u0131\u011f\u0131 bir k\u00fctle ekler.<\/li>\n<li><strong>Kapal\u0131 sistem:<\/strong> ge\u00e7en s\u00fcre boyunca izotop eklenmez ya da \u00e7\u0131kar\u0131lmaz. S\u0131zma, bula\u015fma veya kimyasal al\u0131\u015fveri\u015f sonucu bozar \u2014 bu, radyometrik ya\u015f tayininde ba\u015fl\u0131ca endi\u015fe konusudur.<\/li>\n<li><strong>Aktivite girdileri:<\/strong> bir aktivite (Bq, MBq, Ci) girerseniz sonu\u00e7 kalan aktivitedir, kalan k\u00fctle de\u011fil. Farkl\u0131 izotoplar\u0131n aktiviteleri, yar\u0131 \u00f6m\u00fcrleri ve molar k\u00fctleleri bilinmeden k\u00fctle \u00fczerinden do\u011frudan kar\u015f\u0131la\u015ft\u0131r\u0131lamaz.<\/li>\n<li><strong>Y\u0131l tan\u0131m\u0131:<\/strong> hesaplay\u0131c\u0131, n\u00fckleer ve jeokimya veri tablolar\u0131nda standart olan 365,25 g\u00fcnl\u00fck J\u00fclyen y\u0131l\u0131n\u0131 kullan\u0131r. \u00c7ok k\u0131sa \u00f6m\u00fcrl\u00fc izotoplar i\u00e7in yuvarlama sorunlar\u0131n\u0131 \u00f6nlemek amac\u0131yla saniye veya dakika kullan\u0131n.<\/li>\n<li><strong>\u00c7ok say\u0131da yar\u0131 \u00f6m\u00fcr:<\/strong> yakla\u015f\u0131k 10 yar\u0131 \u00f6m\u00fcr sonunda kalan kesir %0,1'in alt\u0131ndad\u0131r. Bu kadar eski \u00f6rnekler i\u00e7in verilen sonu\u00e7lar matematiksel duyarl\u0131\u011f\u0131 yans\u0131t\u0131r, \u00f6l\u00e7\u00fcm duyarl\u0131l\u0131\u011f\u0131n\u0131 de\u011fil \u2014 ger\u00e7ek dedekt\u00f6rlerin ve k\u00fctle spektrometrelerinin pratik alg\u0131lama s\u0131n\u0131rlar\u0131 vard\u0131r.<\/li>\n<\/ul>\n<p>H\u0131zl\u0131 bir sa\u011flama: yar\u0131 \u00f6m\u00fcr say\u0131s\u0131 \\(n\\) tek ba\u015f\u0131na yan\u0131t\u0131 verir. \\(n\\) tam say\u0131ysa kalan kesir basit\u00e7e \\(1\/2^n\\) olur. \u00c7\u00f6zelti deri\u015fimleri veya tepkime verimleri gibi di\u011fer kimya hesaplamalar\u0131 i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/molarite-hesaplama\/\">molarite hesaplay\u0131c\u0131s\u0131na<\/a> veya <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/yuzde-verim-hesaplayici\/\">y\u00fczde verim hesaplay\u0131c\u0131s\u0131na<\/a> bak\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Radyoaktif bir izotopun herhangi bir s\u00fcre sonunda ne kadar kald\u0131\u011f\u0131n\u0131 hesaplay\u0131n. Ba\u015flang\u0131\u00e7 miktar\u0131n\u0131 veya aktiviteyi, yar\u0131 \u00f6mr\u00fc ve ge\u00e7en s\u00fcreyi girin; kalan miktar\u0131, bozunma sabitini ve yar\u0131 \u00f6m\u00fcr say\u0131s\u0131n\u0131 \u00f6\u011frenin.<\/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-3831","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\/3831","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=3831"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3831\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3831"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3831"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3831"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}