{"id":3911,"date":"2026-10-14T06:54:55","date_gmt":"2026-10-14T05:54:55","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/fizik\/adiyabatik-surec-hesaplayici\/"},"modified":"2026-10-14T06:54:55","modified_gmt":"2026-10-14T05:54:55","slug":"adiyabatik-surec-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/fizik\/adiyabatik-surec-hesaplayici\/","title":{"rendered":"Adiyabatik S\u00fcre\u00e7 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\">Adyabatik S\u0131k\u0131\u015ft\u0131rma veya Genle\u015fme Sonras\u0131nda \u0130deal Gaz\u0131n Son Durumunu Bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3911\" data-favorite-title=\"Adiyabatik S\u00fcre\u00e7\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/fizik\/adiyabatik-surec-hesaplayici\/\" data-favorite-excerpt=\"\u0130deal bir gaz\u0131n tersinir adiyabatik (izentrofik) s\u0131k\u0131\u015ft\u0131rmas\u0131 veya genle\u015fmesi sonras\u0131ndaki son bas\u0131nc\u0131, hacmi ve s\u0131cakl\u0131\u011f\u0131 hesaplay\u0131n. Ba\u015flang\u0131\u00e7 durumunu, son duruma ait bir b\u00fcy\u00fckl\u00fc\u011f\u00fc ve \u0131s\u0131 kapasitesi oran\u0131 \u03b3&#039;y\u0131 girin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-physic\">\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\/fizik\/adiyabatik-surec-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3911\" data-post=\"3911\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Bilinen son b\u00fcy\u00fckl\u00fck<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"bilinen_son_byklk\"><option value=\"v2\" selected>Son hacim (son bas\u0131n\u00e7 bulunur)<\/option><option value=\"p2\">Son bas\u0131n\u00e7 (son hacim bulunur)<\/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><div class=\"is-single field\" id=\"input-2\"><span class=\"font-semibold\">Ba\u015flang\u0131\u00e7 durumu<\/span><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Ba\u015flang\u0131\u00e7 bas\u0131nc\u0131 (P\u2081)<\/label><div class=\"term\">P\u2081<\/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_basnc_p\" id=\"field-3\" aria-describedby=\"calc-info-3\" 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-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"kpa\" selected>kPa<\/option><option value=\"bar\">bar<\/option><option value=\"atm\">atm<\/option><option value=\"psi\">psi<\/option><option value=\"mmhg\">mmHg<\/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\">S\u00fcrecin ba\u015f\u0131ndaki bas\u0131n\u00e7. Bir atmosfer \u2248 101,3 kPa.<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-5\">Ba\u015flang\u0131\u00e7 hacmi (V\u2081)<\/label><div class=\"term\">V\u2081<\/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_hacmi_v\" id=\"field-5\" aria-describedby=\"calc-info-5\" 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-6\" name=\"birim\" aria-label=\"Birim\"><option value=\"m3\" selected>m\u00b3<\/option><option value=\"l\">L<\/option><option value=\"cm3\">cm\u00b3<\/option><option value=\"ft3\">ft\u00b3<\/option><option value=\"in3\">in\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-5\">S\u00fcrecin ba\u015f\u0131ndaki gaz hacmi.<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-7\">Ba\u015flang\u0131\u00e7 s\u0131cakl\u0131\u011f\u0131 (T\u2081)<\/label><div class=\"term\">T\u2081<\/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_scakl_t\" id=\"field-7\" aria-describedby=\"calc-info-7\" 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-8\" 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-7\">S\u00fcrecin ba\u015f\u0131ndaki s\u0131cakl\u0131k. Oda s\u0131cakl\u0131\u011f\u0131 \u2248 293 K (20 \u00b0C).<\/small><\/div><div class=\"is-single field\" id=\"input-6\"><span class=\"font-semibold\">Son durum<\/span><\/div><div class=\"field has-term\" id=\"input-7\" hidden><label for=\"field-10\">Son hacim (V\u2082)<\/label><div class=\"term\">V\u2082<\/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=\"son_hacim_v\" id=\"field-10\" aria-describedby=\"calc-info-10\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.5\" min=\"0\" value=\"0.5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-11\" name=\"birim\" aria-label=\"Birim\"><option value=\"m3\" selected>m\u00b3<\/option><option value=\"l\">L<\/option><option value=\"cm3\">cm\u00b3<\/option><option value=\"ft3\">ft\u00b3<\/option><option value=\"in3\">in\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-10\">S\u00fcrecin sonundaki hacim. V\u2081&#039;den k\u00fc\u00e7\u00fck bir de\u011fer s\u0131k\u0131\u015fmay\u0131, b\u00fcy\u00fck bir de\u011fer genle\u015fmeyi g\u00f6sterir.<\/small><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-12\">Son bas\u0131n\u00e7 (P\u2082)<\/label><div class=\"term\">P\u2082<\/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=\"son_basn_p\" id=\"field-12\" aria-describedby=\"calc-info-12\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 200\" min=\"0\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-13\" name=\"birim\" aria-label=\"Birim\"><option value=\"kpa\" selected>kPa<\/option><option value=\"bar\">bar<\/option><option value=\"atm\">atm<\/option><option value=\"psi\">psi<\/option><option value=\"mmhg\">mmHg<\/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-12\">S\u00fcrecin sonundaki bas\u0131n\u00e7. P\u2081&#039;den b\u00fcy\u00fck bir de\u011fer s\u0131k\u0131\u015fmay\u0131, k\u00fc\u00e7\u00fck bir de\u011fer genle\u015fmeyi g\u00f6sterir.<\/small><\/div><div class=\"field has-term\" id=\"input-9\"><label for=\"field-14\">Is\u0131 kapasitesi oran\u0131 (\u03b3)<\/label><div class=\"term\">\u03b3<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"is_kapasitesi_oran_\" id=\"field-14\" aria-describedby=\"calc-info-14\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1.4\" min=\"1\" value=\"1.4\"\/><small id=\"calc-info-14\">\u03b3 = c\u1d58\/c\u1d5b. Tek atomlu gaz \u2248 1,67, iki atomlu gaz (hava, N\u2082, O\u2082) \u2248 1,40, \u00e7ok atomlu gaz (CO\u2082) \u2248 1,29.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3911\">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> Adyabatik s\u00fcre\u00e7 sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Son bas\u0131n\u00e7 (P\u2082)<\/span><span class=\"result-term\">P\u2082<\/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>Son hacim (V\u2082)<\/span><span class=\"result-term\">V\u2082<\/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>Son s\u0131cakl\u0131k (T\u2082)<\/span><span class=\"result-term\">T\u2082<\/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>Yap\u0131lan i\u015f ve ayr\u0131nt\u0131lar<\/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=\"3911\" 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>Adiyabatik S\u00fcre\u00e7<\/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\\[ P_1 V_1^{\\gamma} = P_2 V_2^{\\gamma} \\qquad T_1 V_1^{\\gamma-1} = T_2 V_2^{\\gamma-1} \\qquad W = \\frac{P_1 V_1 - P_2 V_2}{\\gamma - 1} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradan:<\/strong><\/p>\n<ul>\n<li>\\(P_1, V_1, T_1\\) \u2014 gaz\u0131n ba\u015flang\u0131\u00e7 bas\u0131nc\u0131, hacmi ve mutlak s\u0131cakl\u0131\u011f\u0131<\/li>\n<li>\\(P_2, V_2, T_2\\) \u2014 son bas\u0131n\u00e7, hacim ve mutlak s\u0131cakl\u0131k<\/li>\n<li>\\(\\gamma = c_p \/ c_v\\) \u2014 gaz\u0131n \u0131s\u0131 kapasitesi oran\u0131 (tek atomlu gazlar i\u00e7in 1,67; hava gibi \u00e7ift atomlu gazlar i\u00e7in 1,40)<\/li>\n<li>\\(W\\) \u2014 s\u00fcre\u00e7 boyunca gaz\u0131n yapt\u0131\u011f\u0131 i\u015f (J)<\/li>\n<\/ul>\n<p>Bu ba\u011f\u0131nt\u0131lar ideal bir gaz\u0131n tersinir adiyabatik (izentrofik) s\u00fcrecini tan\u0131mlar: \u00e7evreyle \u0131s\u0131 al\u0131\u015fveri\u015fi olmad\u0131\u011f\u0131 i\u00e7in bas\u0131n\u00e7, hacim ve s\u0131cakl\u0131k \\(P V^{\\gamma}\\) sabitiyle birbirine ba\u011fl\u0131d\u0131r; i\u015f terimi de \\(Q = 0\\) ko\u015fulu alt\u0131nda termodinami\u011fin birinci yasas\u0131ndan do\u011frudan \u00e7\u0131kar, yani \\(\\Delta U = -W\\) olur.<\/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>Adiyabatik S\u00fcre\u00e7 \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 100 kPa ve 300 K'de bulunan 1 m\u00b3 hava, adiyabatik olarak ba\u015flang\u0131\u00e7 hacminin yar\u0131s\u0131na s\u0131k\u0131\u015ft\u0131r\u0131l\u0131yor. Hava i\u00e7in \u03b3 = 1,4.<\/p>\n<p>\\[ P_2 = P_1 \\left( \\frac{V_1}{V_2} \\right)^{\\gamma} = 100\\,\\text{kPa} \\times 2^{1.4} \\approx 263.9\\,\\text{kPa} \\]<\/p>\n<p>\\[ T_2 = T_1 \\left( \\frac{V_1}{V_2} \\right)^{\\gamma-1} = 300\\,\\text{K} \\times 2^{0.4} \\approx 395.85\\,\\text{K} \\; (\\approx 122.7\\,\\text{\u00b0C}) \\]<\/p>\n<p>\\[ W = \\frac{P_1 V_1 - P_2 V_2}{\\gamma - 1} = \\frac{100\\,000 \\times 1 - 263\\,902 \\times 0.5}{0.4} \\approx -79\\,877\\,\\text{J} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> son bas\u0131n\u00e7 \u2248 263,9 kPa (\u2248 2,60 atm), son s\u0131cakl\u0131k \u2248 395,85 K (\u2248 122,7 \u00b0C) ve gaz \u00fczerinde yakla\u015f\u0131k 79,9 kJ i\u015f yap\u0131lm\u0131\u015ft\u0131r; gaz\u0131n \u0131s\u0131nmas\u0131n\u0131n nedeni de budur.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>\u201cSon de\u011fer olarak neyi biliyorum\u201d<\/strong> a\u00e7\u0131l\u0131r men\u00fcs\u00fcnden, size son hacmin mi verildi\u011fini (son bas\u0131nc\u0131 istiyorsan\u0131z) yoksa son bas\u0131nc\u0131n m\u0131 verildi\u011fini (son hacmi istiyorsan\u0131z) se\u00e7in.<\/li>\n<li><strong>Ba\u015flang\u0131\u00e7 bas\u0131nc\u0131n\u0131 (P\u2081)<\/strong>, <strong>ba\u015flang\u0131\u00e7 hacmini (V\u2081)<\/strong> ve <strong>ba\u015flang\u0131\u00e7 s\u0131cakl\u0131\u011f\u0131n\u0131 (T\u2081)<\/strong> girin; her alan i\u00e7in birimi se\u00e7in (kPa, bar, atm, psi, mmHg; m\u00b3, L, cm\u00b3, ft\u00b3, in\u00b3; K, \u00b0C, \u00b0F). T\u00fcm giri\u015fler otomatik olarak SI birimlerine \u00e7evrilir.<\/li>\n<li>Bilinen son b\u00fcy\u00fckl\u00fc\u011f\u00fc girin: 1. ad\u0131mdaki se\u00e7iminize g\u00f6re <strong>Son hacim (V\u2082)<\/strong> ya da <strong>Son bas\u0131n\u00e7 (P\u2082)<\/strong>.<\/li>\n<li>Gaz\u0131n <strong>\u0131s\u0131 kapasitesi oran\u0131n\u0131 (\u03b3)<\/strong> girin \u2014 hava ve di\u011fer \u00e7ift atomlu gazlar i\u00e7in 1,4; helyum veya argon gibi tek atomlu gazlar i\u00e7in 1,67; CO\u2082 i\u00e7in yakla\u015f\u0131k 1,29.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: \u00e7e\u015fitli birimlerle son bas\u0131n\u00e7, \u00e7e\u015fitli birimlerle son hacim, K, \u00b0C ve \u00b0F cinsinden son s\u0131cakl\u0131k ve enerji dengesi (yap\u0131lan i\u015f, i\u00e7 enerji de\u011fi\u015fimi ve iki durum i\u00e7in de \\(P V^{\\gamma}\\) sabiti).<\/li>\n<\/ol>\n<h2>Adiyabatik s\u00fcre\u00e7 nedir?<\/h2>\n<p>Adiyabatik s\u00fcre\u00e7, bir gaz\u0131n \u00e7evresiyle \u0131s\u0131 al\u0131\u015fveri\u015fi yapmad\u0131\u011f\u0131 (\\(Q = 0\\)) termodinamik s\u00fcre\u00e7tir. Enerji yine de gaza girebilir veya gazdan \u00e7\u0131kabilir \u2014 ama yaln\u0131zca mekanik i\u015f bi\u00e7iminde. Gaz s\u0131k\u0131\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00fczerinde yap\u0131lan i\u015f i\u00e7 enerjisini art\u0131r\u0131r ve s\u0131cakl\u0131k y\u00fckselir; gaz genle\u015fti\u011finde ise kendi i\u00e7 enerjisini \u00e7evreyi itmek i\u00e7in harcar ve so\u011fur. Bisiklet pompas\u0131n\u0131n h\u0131zl\u0131 pompalarken \u0131s\u0131nmas\u0131n\u0131n, sprey kutusundan \u00e7\u0131kan s\u0131k\u0131\u015ft\u0131r\u0131lm\u0131\u015f havan\u0131n genle\u015firken so\u011fuk hisettirmesinin nedeni budur.<\/p>\n<p>Bu hesaplay\u0131c\u0131, <em>ideal<\/em> bir gaz\u0131n <em>tersinir<\/em> (yar\u0131 statik, izentrofik) adiyabatik s\u00fcrecini modeller. Bu durumda durum de\u011fi\u015fkenleri \\(P V^{\\gamma} = \\text{sabit}\\) ve \\(T V^{\\gamma-1} = \\text{sabit}\\) ba\u011f\u0131nt\u0131lar\u0131na uyar. \u0130zotermal s\u00fcrece k\u0131yasla bas\u0131n\u00e7, hacimle birlikte daha dik de\u011fi\u015fir, \u00e7\u00fcnk\u00fc s\u0131cakl\u0131k da ayn\u0131 anda de\u011fi\u015fir: havan\u0131n yo\u011funlu\u011funu iki kat\u0131na \u00e7\u0131karmak (\\(\\gamma = 1.4\\)) bas\u0131nc\u0131 2 de\u011fil, \\(2^{1.4} \\approx 2.64\\) kat art\u0131r\u0131r.<\/p>\n<p>\u0130\u015fin i\u015fareti s\u00fcrecin y\u00f6n\u00fcn\u00fc g\u00f6sterir: \\(W\\)'nin negatif olmas\u0131 gaz \u00fczerinde i\u015f yap\u0131ld\u0131\u011f\u0131n\u0131 (s\u0131k\u0131\u015ft\u0131rma, \u0131s\u0131nma), pozitif olmas\u0131 gaz\u0131n \u00e7evresine i\u015f yapt\u0131\u011f\u0131n\u0131 (genle\u015fme, so\u011fuma) anlat\u0131r. \\(Q = 0\\) oldu\u011fundan termodinami\u011fin birinci yasas\u0131 \\(\\Delta U = -W\\)'ye indirgenir: sonu\u00e7larda g\u00f6rd\u00fc\u011f\u00fcn\u00fcz s\u0131cakl\u0131k de\u011fi\u015fimi, al\u0131n\u0131p verilen i\u015fin do\u011frudan bir sonucudur.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>\u0130deal gaz:<\/strong> ba\u011f\u0131nt\u0131lar, ideal gaz yakla\u015f\u0131m\u0131n\u0131n ge\u00e7erli oldu\u011fu bas\u0131n\u00e7larda do\u011frudur. \u00c7ok y\u00fcksek bas\u0131n\u00e7larda veya yo\u011fu\u015fmaya yak\u0131n ko\u015fullarda ger\u00e7ek gaz etkileri \u00f6nem kazan\u0131r ve sonu\u00e7lar sapar.<\/li>\n<li><strong>Tersinir ve ger\u00e7ekten adiyabatik:<\/strong> hesaplama, s\u00fcrecin yar\u0131 statik olacak kadar yava\u015f ve i\u00e7eriye ya da d\u0131\u015far\u0131ya \u0131s\u0131 s\u0131zmayacak kadar h\u0131zl\u0131 (ya da yeterince yal\u0131t\u0131lm\u0131\u015f) oldu\u011funu varsayar. H\u0131zl\u0131, t\u00fcrb\u00fclansl\u0131 s\u0131k\u0131\u015ft\u0131rma veya genle\u015fme geri d\u00f6nd\u00fcr\u00fclemezlikler do\u011furur ve farkl\u0131 son s\u0131cakl\u0131klar verir.<\/li>\n<li><strong>Sabit \u03b3:<\/strong> \u0131s\u0131 kapasitesi oran\u0131 s\u0131cakl\u0131ktan ba\u011f\u0131ms\u0131z kabul edilir. Birka\u00e7 y\u00fcz kelvinlik aral\u0131klarda bu, hava i\u00e7in iyi bir yakla\u015f\u0131kl\u0131kt\u0131r; \u00e7ok b\u00fcy\u00fck s\u0131cakl\u0131k de\u011fi\u015fimlerinde tablolardaki \\(\\gamma(T)\\) de\u011ferleri kullan\u0131lmal\u0131d\u0131r.<\/li>\n<li><strong>\u03b3'y\u0131 dikkatle se\u00e7in:<\/strong> tek atomlu bir gaz i\u00e7in 1,4 kullanmak (ya da tersini yapmak) son s\u0131cakl\u0131\u011f\u0131 onlarca kelvin kayd\u0131rabilir. Sonuca g\u00fcvenmeden \u00f6nce modellemeye \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z gaz\u0131 kontrol edin.<\/li>\n<li><strong>K\u00fctle korunumu:<\/strong> hesaplay\u0131c\u0131 sabit miktarda gaz varsayar. Gaz\u0131n k\u00fctlesi ile miktar\u0131 aras\u0131nda d\u00f6n\u00fc\u015f\u00fcm yapman\u0131z gerekiyorsa <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/yogunluk-hesaplama\/\">Yo\u011funluk hesaplay\u0131c\u0131s\u0131n\u0131<\/a>, bas\u0131n\u00e7lar\u0131n birim denetimi i\u00e7in de <a href=\"https:\/\/wpcalc.com\/tr\/fizik\/basinc-hesaplama\/\">Bas\u0131n\u00e7 hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullan\u0131n.<\/li>\n<\/ul>\n<p>Adiyabatik s\u0131k\u0131\u015ft\u0131rma ve genle\u015fme, motorlar\u0131n, kompres\u00f6rlerin, t\u00fcrbinlerin ve atmosfer fizi\u011finin merkezinde yer al\u0131r \u2014 \u00f6rne\u011fin y\u00fckselen hava par\u00e7alar\u0131n\u0131n so\u011fumas\u0131 adiyabatik s\u00fcre\u00e7 olarak yakla\u015f\u0131k hesaplan\u0131r. Bu s\u00fcre\u00e7leri \u0131s\u0131 makineleri ve verim s\u0131n\u0131rlar\u0131n\u0131n daha geni\u015f \u00e7er\u00e7evesine oturtmak i\u00e7in <a href=\"https:\/\/wpcalc.com\/en\/physics\/carnot-efficiency-calculator\/\">Carnot verimi hesaplay\u0131c\u0131s\u0131na<\/a> bak\u0131n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130deal bir gaz\u0131n tersinir adiyabatik (izentrofik) s\u0131k\u0131\u015ft\u0131rmas\u0131 veya genle\u015fmesi sonras\u0131ndaki son bas\u0131nc\u0131, hacmi ve s\u0131cakl\u0131\u011f\u0131 hesaplay\u0131n. Ba\u015flang\u0131\u00e7 durumunu, son duruma ait bir b\u00fcy\u00fckl\u00fc\u011f\u00fc ve \u0131s\u0131 kapasitesi oran\u0131 \u03b3'y\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":[10],"tags":[83],"class_list":["post-3911","post","type-post","status-publish","format-standard","hentry","category-fizik","tag-enerji-ve-is"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3911","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=3911"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3911\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3911"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3911"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3911"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}