{"id":147,"date":"2026-10-04T08:58:22","date_gmt":"2026-10-04T07:58:22","guid":{"rendered":"https:\/\/wpcalc.com\/pl\/chemia\/prawo-boylea\/"},"modified":"2026-10-04T08:58:22","modified_gmt":"2026-10-04T07:58:22","slug":"prawo-boylea","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pl\/chemia\/prawo-boylea\/","title":{"rendered":"Kalkulator prawa Boyle'a"},"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\">Rozwi\u0105zywanie zada\u0144 z prawa Boyle&#039;a<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"147\" data-favorite-title=\"Prawo Boyle&#039;a\" data-favorite-url=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-boylea\/\" data-favorite-excerpt=\"Za pomoc\u0105 prawa Boyle&#039;a oblicz pocz\u0105tkowe lub ko\u0144cowe ci\u015bnienie albo obj\u0119to\u015b\u0107 gazu. Wybierz niewiadom\u0105 i wprowad\u017a pozosta\u0142e trzy warto\u015bci, zak\u0142adaj\u0105c sta\u0142\u0105 temperatur\u0119.\" aria-label=\"Dodaj do ulubionych\" 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\/pl\/chemia\/prawo-boylea\/\" method=\"POST\" class=\"calculator\" id=\"calculator-147\" data-post=\"147\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Pola danych<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Chc\u0119 obliczy\u0107<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"chc_obliczy\"><option value=\"v2\">Obj\u0119to\u015b\u0107 ko\u0144cowa (V\u2082)<\/option><option value=\"v1\">Obj\u0119to\u015b\u0107 pocz\u0105tkowa (V\u2081)<\/option><option value=\"p1\">Ci\u015bnienie pocz\u0105tkowe (P\u2081)<\/option><option value=\"p2\">Ci\u015bnienie ko\u0144cowe (P\u2082)<\/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=\"field\" id=\"input-2\"><label for=\"field-2\">Ci\u015bnienie pocz\u0105tkowe (P\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"cinienie_pocztkowe_p\" id=\"field-2\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"jednostki\" aria-label=\"Jednostki\"><option value=\"atm\">atm<\/option><option value=\"pa\">Pa<\/option><option value=\"kpa\">kPa<\/option><option value=\"mmhg\">mmHg<\/option><option value=\"bar\">bar<\/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><div class=\"field\" id=\"input-3\"><label for=\"field-4\">Obj\u0119to\u015b\u0107 pocz\u0105tkowa (V\u2081)<\/label><div class=\"field-group\"><input type=\"number\" name=\"objto_pocztkowa_v\" id=\"field-4\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"jednostki\" aria-label=\"Jednostki\"><option value=\"l\">L<\/option><option value=\"ml\">mL<\/option><option value=\"cm3\">cm\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><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-6\">Ci\u015bnienie ko\u0144cowe (P\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"cinienie_kocowe_p\" id=\"field-6\" step=\"any\" value=\"2\"\/><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"jednostki\" aria-label=\"Jednostki\"><option value=\"atm\">atm<\/option><option value=\"pa\">Pa<\/option><option value=\"kpa\">kPa<\/option><option value=\"mmhg\">mmHg<\/option><option value=\"bar\">bar<\/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><div class=\"field\" id=\"input-5\" hidden><label for=\"field-8\">Obj\u0119to\u015b\u0107 ko\u0144cowa (V\u2082)<\/label><div class=\"field-group\"><input type=\"number\" name=\"objto_kocowa_v\" id=\"field-8\" step=\"any\" value=\"0.5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"jednostki\" aria-label=\"Jednostki\"><option value=\"l\">L<\/option><option value=\"ml\">mL<\/option><option value=\"cm3\">cm\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><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Przelicz ponownie\" id=\"calculate-button\" data-post=\"147\">Oblicz<\/button><button type=\"reset\">Wyczy\u015b\u0107<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Obliczaj automatycznie<\/label><small>Po w\u0142\u0105czeniu wynik aktualizuje si\u0119 automatycznie po zmianie dowolnej warto\u015bci.<\/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> Twoje wyniki<\/h3><div class=\"result-box\"><div class=\"field-result is-column is-grid\" id=\"output-1\"><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><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\">Kopiuj link do tego obliczenia<\/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>Zostaw komentarz<\/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=\"147\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Jak oceniasz ten wynik?<\/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\">Lubi\u0119 to <\/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\">Pomocne <\/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\">Niejasne <\/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\">Rozczarowanie <\/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\">Niedok\u0142adne <\/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>Wz\u00f3r prawa Boyle'a<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Wz\u00f3r<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ P_1V_1=P_2V_2 \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Gdzie:<\/strong><\/p>\n<ul>\n<li>\\(P_1\\) \u2014 ci\u015bnienie pocz\u0105tkowe<\/li>\n<li>\\(V_1\\) \u2014 obj\u0119to\u015b\u0107 pocz\u0105tkowa<\/li>\n<li>\\(P_2\\) \u2014 ci\u015bnienie ko\u0144cowe<\/li>\n<li>\\(V_2\\) \u2014 obj\u0119to\u015b\u0107 ko\u0144cowa<\/li>\n<\/ul>\n<p>Dla sta\u0142ej ilo\u015bci gazu w sta\u0142ej temperaturze iloczyn ci\u015bnienia i obj\u0119to\u015bci pozostaje niezmienny. Przekszta\u0142caj\u0105c r\u00f3wnanie, mo\u017cna obliczy\u0107 dowoln\u0105 z czterech warto\u015bci, gdy pozosta\u0142e trzy s\u0105 znane.<\/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>Prawo Boyle'a \u2013 przyk\u0142ad obliczenia<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Przyk\u0142ad:<\/strong> Gaz zajmuje obj\u0119to\u015b\u0107 1 L pod pocz\u0105tkowym ci\u015bnieniem 1 atm. Jaka b\u0119dzie jego obj\u0119to\u015b\u0107 ko\u0144cowa, je\u015bli ci\u015bnienie wzro\u015bnie do 2 atm, a temperatura pozostanie sta\u0142a?<\/p>\n<p>\\[ V_2=\\frac{P_1V_1}{P_2}=\\frac{(1\\,\\mathrm{atm})(1\\,\\mathrm{L})}{2\\,\\mathrm{atm}}=0.5\\,\\mathrm{L} \\]<\/p>\n<p><strong>Wynik:<\/strong> Obj\u0119to\u015b\u0107 ko\u0144cowa wynosi 0,5 L.<\/p>\n<p>\n\r\n<\/section>\n<h2>Jak korzysta\u0107 z kalkulatora<\/h2>\n<ol>\n<li>W polu <strong>Chc\u0119 obliczy\u0107<\/strong> wybierz <strong>obj\u0119to\u015b\u0107 ko\u0144cow\u0105 (V\u2082)<\/strong>, <strong>obj\u0119to\u015b\u0107 pocz\u0105tkow\u0105 (V\u2081)<\/strong>, <strong>ci\u015bnienie pocz\u0105tkowe (P\u2081)<\/strong> lub <strong>ci\u015bnienie ko\u0144cowe (P\u2082)<\/strong>. Kalkulator ukrywa pole warto\u015bci, kt\u00f3r\u0105 wybra\u0142e\u015b.<\/li>\n<li>Wprowad\u017a pozosta\u0142e trzy warto\u015bci w widoczne pola <strong>Ci\u015bnienie pocz\u0105tkowe (P\u2081)<\/strong>, <strong>Obj\u0119to\u015b\u0107 pocz\u0105tkowa (V\u2081)<\/strong>, <strong>Ci\u015bnienie ko\u0144cowe (P\u2082)<\/strong> i <strong>Obj\u0119to\u015b\u0107 ko\u0144cowa (V\u2082)<\/strong>, stosownie do potrzeb.<\/li>\n<li>Wybierz <strong>Jednostki<\/strong> obok ka\u017cdej wprowadzonej warto\u015bci. Ci\u015bnienie mo\u017cna poda\u0107 w atm, Pa, kPa, mmHg lub bar. Obj\u0119to\u015b\u0107 mo\u017cna poda\u0107 w L, mL lub cm\u00b3.<\/li>\n<li>Odczytaj obliczon\u0105 warto\u015b\u0107 poni\u017cej p\u00f3l. Obliczona obj\u0119to\u015b\u0107 podawana jest w jednostce wybranej dla wprowadzonej obj\u0119to\u015bci; obliczone ci\u015bnienie wy\u015bwietlane jest w Pa.<\/li>\n<\/ol>\n<h2>Co m\u00f3wi prawo Boyle'a<\/h2>\n<p>Prawo Boyle'a opisuje, jak zmieniaj\u0105 si\u0119 ci\u015bnienie i obj\u0119to\u015b\u0107 sta\u0142ej ilo\u015bci gazu, gdy temperatura pozostaje sta\u0142a. Ci\u015bnienie i obj\u0119to\u015b\u0107 s\u0105 odwrotnie proporcjonalne: je\u015bli ci\u015bnienie si\u0119 podwoi, obj\u0119to\u015b\u0107 spadnie o po\u0142ow\u0119. Je\u015bli obj\u0119to\u015b\u0107 si\u0119 podwoi, ci\u015bnienie spadnie o po\u0142ow\u0119. R\u00f3wnanie por\u00f3wnuje dwa stany tego samego gazu, oznaczone jako \u201epocz\u0105tkowy\u201d i \u201eko\u0144cowy\u201d; nie wymaga znajomo\u015bci czasu trwania zmiany.<\/p>\n<p>Wynik jest przewidywaniem brakuj\u0105cego ci\u015bnienia lub obj\u0119to\u015bci w tych warunkach. Na przyk\u0142ad wynik 0,5 L oznacza, \u017ce gaz zajmowa\u0142by p\u00f3\u0142 litra przy podanym ci\u015bnieniu ko\u0144cowym, a nie \u017ce usuni\u0119to 0,5 L gazu. Mniejszej obj\u0119to\u015bci odpowiada wy\u017csze ci\u015bnienie, poniewa\u017c te same cz\u0105steczki gazu maj\u0105 mniej miejsca na ruch.<\/p>\n<p>Ta zale\u017cno\u015b\u0107 przydaje si\u0119 do sprawdzania pomiar\u00f3w ci\u015bnienie\u2013obj\u0119to\u015b\u0107 i szacowania skutk\u00f3w spr\u0119\u017cania lub rozpr\u0119\u017cania. Je\u015bli zmienia si\u0119 tak\u017ce temperatura, samo prawo Boyle'a nie wystarczy; u\u017cyj <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/polaczone-prawo-gazowe\/\">kalkulatora po\u0142\u0105czonego prawa gaz\u00f3w<\/a>. Je\u015bli chcesz powi\u0105za\u0107 ci\u015bnienie i obj\u0119to\u015b\u0107 z ilo\u015bci\u0105 gazu i temperatur\u0105, zobacz <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-gazow-doskonalych\/\">kalkulator prawa gaz\u00f3w doskona\u0142ych<\/a>.<\/p>\n<h2>Za\u0142o\u017cenia i praktyczne wskaz\u00f3wki<\/h2>\n<ul>\n<li><strong>Utrzymuj sta\u0142\u0105 temperatur\u0119 i sta\u0142\u0105 ilo\u015b\u0107 gazu.<\/strong> Ciep\u0142o poch\u0142oni\u0119te lub oddane podczas spr\u0119\u017cania albo dostanie si\u0119 gazu do uk\u0142adu lub jego ucieczka mog\u0105 zmieni\u0107 rzeczywisty wynik. Gwa\u0142towne spr\u0119\u017cenie mo\u017ce chwilowo ogrza\u0107 gaz, wi\u0119c pomiary wykonane bezpo\u015brednio po nim mog\u0105 nie odpowiada\u0107 przewidywaniu dla sta\u0142ej temperatury.<\/li>\n<li><strong>U\u017cywaj ci\u015bnienia bezwzgl\u0119dnego.<\/strong> Podawaj ci\u015bnienie mierzone wzgl\u0119dem pr\u00f3\u017cni, a nie ci\u015bnienie manometryczne mierzone wzgl\u0119dem otaczaj\u0105cego powietrza. Na przyk\u0142ad odczyt manometru 1 atm w atmosferze o ci\u015bnieniu 1 atm odpowiada oko\u0142o 2 atm ci\u015bnienia bezwzgl\u0119dnego.<\/li>\n<li><strong>Podawaj warto\u015bci dodatnie i niezerowe.<\/strong> Ci\u015bnienie lub obj\u0119to\u015b\u0107 r\u00f3wne zeru mo\u017ce sprawi\u0107, \u017ce obliczenie b\u0119dzie nieokre\u015blone lub pozbawione sensu fizycznego. Sprawd\u017a, czy warto\u015bci opisuj\u0105 dwa mo\u017cliwe stany tego samego gazu.<\/li>\n<li><strong>Zgodno\u015b\u0107 jednostek obj\u0119to\u015bci przy obliczaniu ci\u015bnienia.<\/strong> Wprowadzaj <strong>Obj\u0119to\u015b\u0107 pocz\u0105tkow\u0105 (V\u2081)<\/strong> i <strong>Obj\u0119to\u015b\u0107 ko\u0144cow\u0105 (V\u2082)<\/strong> w tej samej jednostce. Kalkulator przelicza ci\u015bnienia na Pa, ale nie przelicza mi\u0119dzy dwiema obj\u0119to\u015bciami przy obliczaniu ci\u015bnienia. Pami\u0119taj, \u017ce 1 L = 1000 mL = 1000 cm\u00b3.<\/li>\n<li><strong>Uwzgl\u0119dnij zachowanie gaz\u00f3w rzeczywistych.<\/strong> Prawo Boyle'a jest u\u017cytecznym przybli\u017ceniem, ale gazy rzeczywiste mog\u0105 si\u0119 od niego odchyla\u0107, zw\u0142aszcza przy wysokich ci\u015bnieniach lub blisko skraplania. Wynik do\u015bwiadczalny mo\u017ce si\u0119 r\u00f3wnie\u017c r\u00f3\u017cni\u0107 z powodu nieszczelno\u015bci lub niepewno\u015bci pomiaru.<\/li>\n<\/ul>\n<p>Do przeliczania ci\u015bnienia: 1 atm = 101 325 Pa, 1 kPa = 1000 Pa, a 1 bar = 100 000 Pa. Kalkulator przyjmuje w przybli\u017ceniu 133,322 Pa na mmHg. Je\u015bli ci\u015bnienie ca\u0142kowite mieszaniny gaz\u00f3w sk\u0142ada si\u0119 z ci\u015bnie\u0144 cz\u0105stkowych kilku gaz\u00f3w, t\u0119 odr\u0119bn\u0105 zale\u017cno\u015b\u0107 opisuje <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-daltona\/\">kalkulator prawa Daltona<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Za pomoc\u0105 prawa Boyle'a oblicz pocz\u0105tkowe lub ko\u0144cowe ci\u015bnienie albo obj\u0119to\u015b\u0107 gazu. Wybierz niewiadom\u0105 i wprowad\u017a pozosta\u0142e trzy warto\u015bci, zak\u0142adaj\u0105c sta\u0142\u0105 temperatur\u0119.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[4],"tags":[39],"class_list":["post-147","post","type-post","status-publish","format-standard","hentry","category-chemia","tag-gazy"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/147","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/comments?post=147"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/147\/revisions"}],"predecessor-version":[{"id":1868,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/147\/revisions\/1868"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/media?parent=147"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/categories?post=147"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/tags?post=147"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}