{"id":3836,"date":"2026-10-07T12:41:04","date_gmt":"2026-10-07T11:41:04","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/kimya\/van-der-waals-denklemi-hesaplayici\/"},"modified":"2026-10-07T12:41:04","modified_gmt":"2026-10-07T11:41:04","slug":"van-der-waals-denklemi-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/kimya\/van-der-waals-denklemi-hesaplayici\/","title":{"rendered":"Van der Waals Denklemi 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\">Van der Waals denklemiyle ger\u00e7ek gaz bas\u0131nc\u0131 tahmini<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3836\" data-favorite-title=\"Van der Waals Denklemi\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/kimya\/van-der-waals-denklemi-hesaplayici\/\" data-favorite-excerpt=\"Van der Waals denklemiyle ger\u00e7ek gaz bas\u0131nc\u0131n\u0131 hesaplay\u0131n. Gaz miktar\u0131n\u0131, hacmi, s\u0131cakl\u0131\u011f\u0131 ve a ile b sabitlerini girin; bas\u0131nc\u0131, s\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc Z&#039;yi ve ideal gaz yasas\u0131ndan sapmay\u0131 g\u00f6r\u00fcn.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-wind-2\">\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\/van-der-waals-denklemi-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3836\" data-post=\"3836\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Gaz miktar\u0131 (n)<\/label><div class=\"term\">n<\/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=\"gaz_miktar_n\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1\" min=\"0\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"mol\" selected>mol<\/option><option value=\"mmol\">mmol<\/option><option value=\"kmol\">kmol<\/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\">Gaz\u0131n mol say\u0131s\u0131<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Hacim (V)<\/label><div class=\"term\">V<\/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=\"hacim_v\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 10\" min=\"0\" value=\"10\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"L\" selected>L<\/option><option value=\"mL\">mL<\/option><option value=\"m3\">m\u00b3<\/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\">Gaz\u0131 bulunduran kab\u0131n hacmi<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">S\u0131cakl\u0131k (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=\"scaklk_t\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 300\" min=\"0\" value=\"300\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"birim\" aria-label=\"Birim\"><option value=\"K\" selected>K<\/option><option value=\"C\">\u00b0C<\/option><option value=\"F\">\u00b0F<\/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\">Gaz\u0131n mutlak s\u0131cakl\u0131\u011f\u0131<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-7\">\u00c7ekim sabiti (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><div class=\"field-group\"><input type=\"text\" name=\"ekim_sabiti_a\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1.3708\" min=\"0\" value=\"1.3708\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"birim\" aria-label=\"Birim\"><option value=\"barL2\" selected>L\u00b2\u00b7bar\/mol\u00b2<\/option><option value=\"atmL2\">L\u00b2\u00b7atm\/mol\u00b2<\/option><option value=\"Pam6\">Pa\u00b7m\u2076\/mol\u00b2<\/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-7\">Van der Waals a sabiti \u2014 1.3708 L\u00b2\u00b7bar\/mol\u00b2 azot (N\u2082) de\u011feridir<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-9\">Kovol\u00fcm sabiti (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><div class=\"field-group\"><input type=\"text\" name=\"kovolm_sabiti_b\" id=\"field-9\" aria-describedby=\"calc-info-9\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.0387\" min=\"0\" value=\"0.0387\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"birim\" aria-label=\"Birim\"><option value=\"Lmol\" selected>L\/mol<\/option><option value=\"cm3mol\">cm\u00b3\/mol<\/option><option value=\"m3mol\">m\u00b3\/mol<\/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-9\">Van der Waals b sabiti \u2014 0.0387 L\/mol azot (N\u2082) de\u011feridir<\/small><\/div><div class=\"field is-single\" id=\"input-6\"><label for=\"field-11\">Sonu\u00e7lar i\u00e7in bas\u0131n\u00e7 birimi<\/label><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"sonular_iin_basn_birimi\"><option value=\"atm\" selected>atm<\/option><option value=\"bar\">bar<\/option><option value=\"kPa\">kPa<\/option><option value=\"MPa\">MPa<\/option><option value=\"psi\">psi<\/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=\"3836\">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> Bas\u0131n\u00e7 sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Ger\u00e7ek gaz bas\u0131nc\u0131<\/span><span class=\"result-term\">P<\/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>S\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc Z<\/span><span class=\"result-term\">Z<\/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\" id=\"output-3\"><span class=\"field-title\"><span>\u0130deal gaz bas\u0131nc\u0131ndan sapma<\/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>Molar hacim<\/span><span class=\"result-term\">V\/n<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"L\/mol\"><\/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>Hesaplama ayr\u0131nt\u0131lar\u0131<\/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=\"3836\" 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>Van der Waals Denklemi 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\"><\/div>\r\n\t<\/figure>\r\n\t{formula}<br \/>\n\\[ \\left(P + a\\frac{n^2}{V^2}\\right)(V - nb) = nRT \\quad\\Longleftrightarrow\\quad P = \\frac{nRT}{V - nb} - a\\left(\\frac{n}{V}\\right)^2 \\\\ Z = \\frac{PV}{nRT} \\\\[\/formula]<\/p>\n<p><strong>Buradaki:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 ger\u00e7ek gaz\u0131n bas\u0131nc\u0131<\/li>\n<li>\\(n\\) \u2014 gaz miktar\u0131 (mol)<\/li>\n<li>\\(V\\) \u2014 kab\u0131n hacmi (L)<\/li>\n<li>\\(T\\) \u2014 mutlak s\u0131cakl\u0131k (K)<\/li>\n<li>\\(R\\) \u2014 gaz sabiti, \\(0.082057\\ \\text{L\u00b7atm\/(mol\u00b7K)}\\)<\/li>\n<li>\\(a\\) \u2014 molek\u00fcller aras\u0131 \u00e7ekimi d\u00fczelten \u00e7ekim sabiti<\/li>\n<li>\\(b\\) \u2014 molek\u00fcllerin sonlu hacmini d\u00fczelten kovol\u00fcm (\u00f6z hacim) sabiti<\/li>\n<li>\\(Z\\) \u2014 s\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc (ideal gaz i\u00e7in \\(Z = 1\\))<\/li>\n<\/ul>\n<p>Denklem, ideal gaz yasas\u0131n\u0131 iki d\u00fczeltme terimiyle geni\u015fletir: \\(a\\) terimi molek\u00fcller birbirini \u00e7ekti\u011fi i\u00e7in bas\u0131nc\u0131 d\u00fc\u015f\u00fcr\u00fcr; \\(b\\) terimi ise molek\u00fcllerin hareket edebilece\u011fi bo\u015flu\u011fu daraltt\u0131\u011f\u0131 i\u00e7in bas\u0131nc\u0131 y\u00fckseltir.<\/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>Van der Waals Denklemi \u2013 \u00d6rnek Hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 300 K s\u0131cakl\u0131kta 10 L'lik bir kapta 1 mol azot (N\u2082). Azot i\u00e7in \\(a = 1.3708\\ \\text{L\u00b2\u00b7bar\/mol\u00b2}\\) ve \\(b = 0.0387\\ \\text{L\/mol}\\). \\(a\\)'y\u0131 L\u00b2\u00b7atm\/mol\u00b2 birimine \u00e7evirirsek \\(a = 1.3708 \\times 0.986923 = 1.3529\\ \\text{L\u00b2\u00b7atm\/mol\u00b2}\\) bulunur.<\/p>\n<p>\\[ P = \\frac{1 \\times 0.082057 \\times 300}{10 - 1 \\times 0.0387} - 1.3529 \\times \\left(\\frac{1}{10}\\right)^2 = \\frac{24.6171}{9.9613} - 0.01353 \\\\[\/p]<\/p>\n<p>\\[ P = 2.4713 - 0.0135 = 2.4578\\ \\text{atm} \\\\[\/p]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> ger\u00e7ek gaz bas\u0131nc\u0131 <strong>P = 2,4578 atm<\/strong> (yakla\u015f\u0131k 2,4900 bar ya da 248,98 kPa). Ideal gaz yasas\u0131 2,4617 atm verirdi; yani ger\u00e7ek bas\u0131n\u00e7 %0,16 daha d\u00fc\u015f\u00fckt\u00fcr. S\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc Z = 0,9984, molar hacim ise 10 L\/mol'd\u00fcr.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Gaz miktar\u0131n\u0131 (n)<\/strong> girin ve birimini se\u00e7in (mol, mmol veya kmol).<\/li>\n<li>Kab\u0131n <strong>hacmini (V)<\/strong> girin ve L, mL ya da m\u00b3 birimini se\u00e7in.<\/li>\n<li><strong>S\u0131cakl\u0131\u011f\u0131 (T)<\/strong> girin; K, \u00b0C veya \u00b0F olarak yazabilirsiniz, hesaplay\u0131c\u0131 onu kelvine \u00e7evirir.<\/li>\n<li>Gaz\u0131n\u0131z\u0131n <strong>\u00e7ekim sabitini (a)<\/strong> girin. Varsay\u0131lan 1,3708 L\u00b2\u00b7bar\/mol\u00b2 azot de\u011feridir; birim L\u00b2\u00b7bar\/mol\u00b2, L\u00b2\u00b7atm\/mol\u00b2 veya Pa\u00b7m\u2076\/mol\u00b2 olabilir.<\/li>\n<li><strong>Kovol\u00fcm sabitini (b)<\/strong> L\/mol, cm\u00b3\/mol veya m\u00b3\/mol cinsinden girin. Azot i\u00e7in bu de\u011fer 0,0387 L\/mol'd\u00fcr.<\/li>\n<li><strong>Sonu\u00e7 i\u00e7in bas\u0131n\u00e7 birimini<\/strong> se\u00e7in \u2014 atm, bar, kPa, MPa veya psi \u2014 ve bas\u0131nc\u0131, s\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc Z'yi, ideal gaz bas\u0131nc\u0131ndan y\u00fczde sapmay\u0131, molar hacmi ve ad\u0131m ad\u0131m hesaplama d\u00f6k\u00fcm\u00fcn\u00fc okuyun.<\/li>\n<\/ol>\n<h2>Van der Waals denklemi nedir?<\/h2>\n<p>\\(PV = nRT\\) ideal gaz yasas\u0131, gaz molek\u00fcllerinin etkile\u015fmeyen noktasal par\u00e7ac\u0131klar oldu\u011funu varsayar. Ger\u00e7ek molek\u00fcller ise sonlu bir hacim kaplar ve birbirini \u00e7eker. 1873'te Johannes Diderik van der Waals, her iki etkiyi de hesaba katan de\u011fi\u015ftirilmi\u015f bir hal denklemi \u00f6nerdi; bu ba\u015far\u0131s\u0131 1910 Nobel Fizik \u00d6d\u00fcl\u00fc'yle ta\u00e7land\u0131. Denklem, gazlar\u0131n neden s\u0131v\u0131ya yo\u011funla\u015ft\u0131\u011f\u0131n\u0131 a\u00e7\u0131klayan ilk model oldu ve ger\u00e7ek gaz davran\u0131\u015f\u0131n\u0131n klasik ders kitab\u0131 \u00f6rne\u011fi olmay\u0131 s\u00fcrd\u00fcr\u00fcyor.<\/p>\n<p>\\(a(n\/V)^2\\) d\u00fczeltmesi i\u00e7 bas\u0131nc\u0131 temsil eder: duvara \u00e7arpmak \u00fczere olan molek\u00fcller kom\u015fular\u0131 taraf\u0131ndan geri \u00e7ekilir, bu y\u00fczden \u00f6l\u00e7\u00fclen bas\u0131n\u00e7 ideal de\u011ferden d\u00fc\u015f\u00fck \u00e7\u0131kar. \\(a\\) sabiti molek\u00fcller aras\u0131 \u00e7ekimin g\u00fcc\u00fcyle artar ve su ile amonyak gibi polar, kolay yo\u011funla\u015fan gazlarda en b\u00fcy\u00fckt\u00fcr. \\(nb\\) terimi ise molek\u00fcllerin kendilerinin kaplad\u0131\u011f\u0131 hacmi d\u00fc\u015fer; b\u00f6ylece hareket edilebilen serbest hacim fiilen daral\u0131r. \\(b\\), mol ba\u015f\u0131na ger\u00e7ek molek\u00fcler hacmin yakla\u015f\u0131k d\u00f6rt kat\u0131d\u0131r.<\/p>\n<p>Hangi d\u00fczeltmenin bask\u0131n oldu\u011fu ko\u015fullara ba\u011fl\u0131d\u0131r. Orta yo\u011funluklarda genellikle \u00e7ekimler \u00fcst\u00fcn gelir ve ger\u00e7ek bas\u0131n\u00e7 ideal gaz \u00f6ng\u00f6r\u00fcs\u00fcnden <em>d\u00fc\u015f\u00fck<\/em> olur. \u00c7ok y\u00fcksek yo\u011funluklarda ise d\u0131\u015flanan hacim devreye girer ve ger\u00e7ek bas\u0131n\u00e7 <em>y\u00fcksek<\/em> olur. S\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc \\(Z = PV\/nRT\\) bunu \u00f6zetler: \\(Z  1\\), sonlu molek\u00fcler hacmin bask\u0131n oldu\u011funu; \\(Z = 1\\) ise ideal davran\u0131\u015fa kar\u015f\u0131l\u0131k gelir.<\/p>\n<h2>Yayg\u0131n gazlar\u0131n sabitleri<\/h2>\n<table>\n<thead>\n<tr>\n<th>Gaz<\/th>\n<th>a (L\u00b2\u00b7bar\/mol\u00b2)<\/th>\n<th>b (L\/mol)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Helyum (He)<\/td>\n<td>0,0346<\/td>\n<td>0,0238<\/td>\n<\/tr>\n<tr>\n<td>Azot (N\u2082)<\/td>\n<td>1,3708<\/td>\n<td>0,0387<\/td>\n<\/tr>\n<tr>\n<td>Oksijen (O\u2082)<\/td>\n<td>1,382<\/td>\n<td>0,0319<\/td>\n<\/tr>\n<tr>\n<td>Metan (CH\u2084)<\/td>\n<td>2,300<\/td>\n<td>0,0430<\/td>\n<\/tr>\n<tr>\n<td>Karbon dioksit (CO\u2082)<\/td>\n<td>3,657<\/td>\n<td>0,0429<\/td>\n<\/tr>\n<tr>\n<td>Amonyak (NH\u2083)<\/td>\n<td>4,225<\/td>\n<td>0,0371<\/td>\n<\/tr>\n<tr>\n<td>Su (H\u2082O)<\/td>\n<td>5,537<\/td>\n<td>0,0305<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Tablodaki sabitlerin bar bazl\u0131 oldu\u011funu unutmay\u0131n; bu de\u011ferleri kullan\u0131rken <strong>a<\/strong> i\u00e7in birim se\u00e7icisini L\u00b2\u00b7bar\/mol\u00b2 konumuna getirin.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Sabitler tam olarak sabit de\u011fildir.<\/strong> Tablolardaki \\(a\\) ve \\(b\\) de\u011ferleri deneysel verilere uydurulmu\u015ftur ve orta bas\u0131n\u00e7larda (kabaca birka\u00e7 y\u00fcz bara kadar) en g\u00fcvenilir sonucu verir. A\u015f\u0131r\u0131 yo\u011funluklarda denklem nicel olmaktan \u00e7\u0131k\u0131p nitel hale gelir.<\/li>\n<li><strong>Yo\u011funla\u015fma noktas\u0131na yak\u0131n g\u00fcvenilmezdir.<\/strong> Kritik noktaya yak\u0131n veya iki fazl\u0131 b\u00f6lgede denklem negatif bas\u0131n\u00e7, hatta tek bir bas\u0131n\u00e7 i\u00e7in birden \u00e7ok hacim bile \u00f6ng\u00f6rebilir. Hesaplay\u0131c\u0131 bu durumlar\u0131 say\u0131 yerine bir hata iletisiyle bildirir.<\/li>\n<li><strong>K\u00fc\u00e7\u00fck, polar olmayan molek\u00fcllerde en iyi sonu\u00e7 verir.<\/strong> Soy gazlar, azot ve oksijen iyi tan\u0131mlan\u0131r; su buhar\u0131 gibi g\u00fc\u00e7l\u00fc\u00e7e ili\u015fkilenen gazlar, \u00f6zellikle doyma noktas\u0131na yak\u0131n sapar.<\/li>\n<li><strong>Hacim kovol\u00fcm\u00fc a\u015fmal\u0131d\u0131r.<\/strong> \\(V - nb\\) terimi \\(V &gt; nb\\) olmas\u0131n\u0131 gerektirir; aksi halde modelin \u00e7\u00f6z\u00fcm\u00fc yoktur ve hesaplay\u0131c\u0131 bunu a\u00e7\u0131k\u00e7a bildirir.<\/li>\n<li><strong>a = b = 0<\/strong> oldu\u011funda denklem tam olarak ideal gaz yasas\u0131na indirgenir; bu, girdilerinizi h\u0131zl\u0131ca do\u011frulaman\u0131n pratik bir yoludur.<\/li>\n<\/ul>\n<p>Di\u011fer gaz faz\u0131 olaylar\u0131n\u0131 inceliyorsan\u0131z, 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 Hesaplay\u0131c\u0131<\/a>, dif\u00fczyon h\u0131zlar\u0131 i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/graham-yasasi-hesaplama\/\">Graham Yasas\u0131 Hesaplay\u0131c\u0131<\/a> veya buhar bas\u0131nc\u0131 i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/kimya\/clausius-clapeyron-hesaplama\/\">Clausius\u2013Clapeyron Hesaplay\u0131c\u0131<\/a> arac\u0131m\u0131z da i\u015finize yarayabilir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Van der Waals denklemiyle ger\u00e7ek gaz bas\u0131nc\u0131n\u0131 hesaplay\u0131n. Gaz miktar\u0131n\u0131, hacmi, s\u0131cakl\u0131\u011f\u0131 ve a ile b sabitlerini girin; bas\u0131nc\u0131, s\u0131k\u0131\u015ft\u0131r\u0131labilirlik fakt\u00f6r\u00fc Z'yi ve ideal gaz yasas\u0131ndan sapmay\u0131 g\u00f6r\u00fcn.<\/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":[41],"class_list":["post-3836","post","type-post","status-publish","format-standard","hentry","category-kimya","tag-gazlar"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3836","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=3836"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3836\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3836"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3836"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3836"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}