{"id":197,"date":"2026-10-04T09:08:52","date_gmt":"2026-10-04T08:08:52","guid":{"rendered":"https:\/\/wpcalc.com\/pl\/chemia\/polaczone-prawo-gazowe\/"},"modified":"2026-10-04T09:08:52","modified_gmt":"2026-10-04T08:08:52","slug":"polaczone-prawo-gazowe","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pl\/chemia\/polaczone-prawo-gazowe\/","title":{"rendered":"Kalkulator po\u0142\u0105czonego prawa gazowego"},"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 po\u0142\u0105czonego prawa gazowego<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"197\" data-favorite-title=\"Po\u0142\u0105czone prawo gazowe\" data-favorite-url=\"https:\/\/wpcalc.com\/pl\/chemia\/polaczone-prawo-gazowe\/\" data-favorite-excerpt=\"Oblicz nieznan\u0105 warto\u015b\u0107 pocz\u0105tkowego lub ko\u0144cowego ci\u015bnienia, obj\u0119to\u015bci albo temperatury, korzystaj\u0105c z po\u0142\u0105czonego prawa gazowego. Wybierz wielko\u015b\u0107 do obliczenia, a nast\u0119pnie wprowad\u017a pozosta\u0142e pi\u0119\u0107 warto\u015bci.\" 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\/polaczone-prawo-gazowe\/\" method=\"POST\" class=\"calculator\" id=\"calculator-197\" data-post=\"197\"><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=\"vi\">Obj\u0119to\u015b\u0107 pocz\u0105tkowa (V\u1d62)<\/option><option value=\"pi\">Ci\u015bnienie pocz\u0105tkowe (P\u1d62)<\/option><option value=\"ti\">Temperatura pocz\u0105tkowa (T\u1d62)<\/option><option value=\"vf\">Obj\u0119to\u015b\u0107 ko\u0144cowa (Vf)<\/option><option value=\"pf\">Ci\u015bnienie ko\u0144cowe (Pf)<\/option><option value=\"tf\">Temperatura ko\u0144cowa (Tf)<\/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\" hidden><label for=\"field-2\">Obj\u0119to\u015b\u0107 pocz\u0105tkowa (V\u1d62)<\/label><div class=\"field-group\"><input type=\"number\" name=\"objto_pocztkowa_v\" id=\"field-2\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"l\">L<\/option><option value=\"ml\">mL<\/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\">Ci\u015bnienie pocz\u0105tkowe (P\u1d62)<\/label><div class=\"field-group\"><input type=\"number\" name=\"cinienie_pocztkowe_p\" id=\"field-4\" step=\"any\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"kpa\">kPa<\/option><option value=\"atm\">atm<\/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><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-6\">Temperatura pocz\u0105tkowa (T\u1d62)<\/label><input type=\"number\" name=\"temperatura_pocztkowa_t\" id=\"field-6\" aria-describedby=\"calc-unit-6\" step=\"any\" value=\"273\"\/><div class=\"unit\" id=\"calc-unit-6\">K<\/div><\/div><div class=\"field\" id=\"input-5\"><label for=\"field-7\">Obj\u0119to\u015b\u0107 ko\u0144cowa (Vf)<\/label><div class=\"field-group\"><input type=\"number\" name=\"objto_kocowa_vf\" id=\"field-7\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"l\">L<\/option><option value=\"ml\">mL<\/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-6\"><label for=\"field-9\">Ci\u015bnienie ko\u0144cowe (Pf)<\/label><div class=\"field-group\"><input type=\"number\" name=\"cinienie_kocowe_pf\" id=\"field-9\" step=\"any\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"kpa\">kPa<\/option><option value=\"atm\">atm<\/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><\/div><div class=\"field\" id=\"input-7\"><label for=\"field-11\">Temperatura ko\u0144cowa (Tf)<\/label><input type=\"number\" name=\"temperatura_kocowa_tf\" id=\"field-11\" aria-describedby=\"calc-unit-11\" step=\"any\" value=\"293\"\/><div class=\"unit\" id=\"calc-unit-11\">K<\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Przelicz ponownie\" id=\"calculate-button\" data-post=\"197\">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=\"197\" 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 po\u0142\u0105czonego prawa gazowego<\/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\\[ \\frac{P_i V_i}{T_i} = \\frac{P_f V_f}{T_f} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Gdzie:<\/strong><\/p>\n<ul>\n<li>\\(P_i\\) i \\(P_f\\) \u2014 pocz\u0105tkowe i ko\u0144cowe ci\u015bnienie bezwzgl\u0119dne<\/li>\n<li>\\(V_i\\) i \\(V_f\\) \u2014 pocz\u0105tkowa i ko\u0144cowa obj\u0119to\u015b\u0107<\/li>\n<li>\\(T_i\\) i \\(T_f\\) \u2014 pocz\u0105tkowa i ko\u0144cowa temperatura w kelwinach (K)<\/li>\n<\/ul>\n<p>Po\u0142\u0105czone prawo gazowe opisuje dwa stany tej samej ilo\u015bci gazu. Przekszta\u0142caj\u0105c r\u00f3wnanie, mo\u017cna wyznaczy\u0107 ka\u017cd\u0105 z sze\u015bciu warto\u015bci, gdy pozosta\u0142e pi\u0119\u0107 jest znanych.<\/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>Po\u0142\u0105czone prawo gazowe \u2013 przyk\u0142ad obliczenia<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Przyk\u0142ad:<\/strong> Przy domy\u015blnych warto\u015bciach kalkulatora znajd\u017a obj\u0119to\u015b\u0107 pocz\u0105tkow\u0105, gdy gaz znajduje si\u0119 pocz\u0105tkowo przy 100 kPa i 273 K, a nast\u0119pnie osi\u0105ga obj\u0119to\u015b\u0107 1 L przy 100 kPa i 293 K.<\/p>\n<p>\\[ V_i = \\frac{P_f V_f T_i}{P_i T_f} = \\frac{(100\\,\\mathrm{kPa})(1\\,\\mathrm{L})(273\\,\\mathrm{K})}{(100\\,\\mathrm{kPa})(293\\,\\mathrm{K})} \\approx 0.9317\\,\\mathrm{L} \\]<\/p>\n<p><strong>Wynik:<\/strong> Obj\u0119to\u015b\u0107 pocz\u0105tkowa wynosi 0,9317 L. Przy niezmienionym ci\u015bnieniu gaz zajmuje wi\u0119cej miejsca w wy\u017cszej temperaturze ko\u0144cowej.<\/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 niewiadom\u0105: obj\u0119to\u015b\u0107 pocz\u0105tkow\u0105 (V\u1d62), ci\u015bnienie pocz\u0105tkowe (P\u1d62), temperatur\u0119 pocz\u0105tkow\u0105 (T\u1d62), obj\u0119to\u015b\u0107 ko\u0144cow\u0105 (Vf), ci\u015bnienie ko\u0144cowe (Pf) lub temperatur\u0119 ko\u0144cow\u0105 (Tf). Kalkulator ukrywa wybrane pole.<\/li>\n<li>Wprowad\u017a pi\u0119\u0107 znanych warto\u015bci w pozosta\u0142ych polach stanu pocz\u0105tkowego i ko\u0144cowego. Podawaj temperatury w K; pola temperatury nie przyjmuj\u0105 stopni Celsjusza ani Fahrenheita.<\/li>\n<li>W przypadku p\u00f3l obj\u0119to\u015bci wybierz L lub mL, a w przypadku p\u00f3l ci\u015bnienia \u2014 kPa, atm lub mmHg. Je\u015bli podajesz obie obj\u0119to\u015bci, u\u017cyj <strong>tej samej jednostki obj\u0119to\u015bci<\/strong>: ten kalkulator nie przelicza jednostek mi\u0119dzy L i mL podczas oblicze\u0144. Jednostki ci\u015bnienia natomiast przelicza wewn\u0119trznie.<\/li>\n<li>Odczytaj obliczon\u0105 warto\u015b\u0107 z wyniku. Obliczone ci\u015bnienie wy\u015bwietlane jest w kPa; obliczona obj\u0119to\u015b\u0107 u\u017cywa jednostki wybranej dla znanej obj\u0119to\u015bci.<\/li>\n<\/ol>\n<h2>Co m\u00f3wi po\u0142\u0105czone prawo gazowe<\/h2>\n<p>Po\u0142\u0105czone prawo gazowe opisuje, jak ci\u015bnienie, obj\u0119to\u015b\u0107 i temperatura bezwzgl\u0119dna zmieniaj\u0105 si\u0119 razem dla sta\u0142ej ilo\u015bci gazu. M\u00f3wi, \u017ce \\(PV\/T\\) pozostaje sta\u0142e mi\u0119dzy stanem pocz\u0105tkowym i ko\u0144cowym, o ile gaz mo\u017cna traktowa\u0107 jako idealny. Znaj\u0105c pi\u0119\u0107 z sze\u015bciu warto\u015bci pocz\u0105tkowych i ko\u0144cowych, mo\u017cna wyznaczy\u0107 sz\u00f3st\u0105.<\/p>\n<p>Zale\u017cno\u015b\u0107 ta \u0142\u0105czy dwa prostsze prawa. W sta\u0142ej temperaturze ci\u015bnienie i obj\u0119to\u015b\u0107 s\u0105 odwrotnie proporcjonalne, co opisuje <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-boylea\/\">prawo Boyla<\/a>: spr\u0119\u017cenie gazu zwykle podnosi jego ci\u015bnienie. Przy sta\u0142ym ci\u015bnieniu obj\u0119to\u015b\u0107 jest proporcjonalna do temperatury bezwzgl\u0119dnej, co opisuje <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-charlesa\/\">prawo Charlesa<\/a>. Po\u0142\u0105czone prawo gazowe uwzgl\u0119dnia jednocze\u015bnie zmiany ci\u015bnienia i temperatury.<\/p>\n<p>Interpretuj wynik w powi\u0105zaniu z wprowadzonymi warunkami. W przyk\u0142adzie ci\u015bnienie pozostaje na poziomie 100 kPa, podczas gdy temperatura ro\u015bnie od 273 K do 293 K. Obliczona obj\u0119to\u015b\u0107 pocz\u0105tkowa jest mniejsza ni\u017c znana obj\u0119to\u015b\u0107 ko\u0144cowa, co zgadza si\u0119 z oczekiwaniem, \u017ce cieplejszy gaz zajmuje wi\u0119cej miejsca, je\u015bli jego ci\u015bnienie mo\u017ce pozosta\u0107 sta\u0142e. Prawo por\u00f3wnuje dwa stany; nie opisuje, jak szybko gaz przechodzi mi\u0119dzy nimi.<\/p>\n<p>Je\u015bli chcesz obliczy\u0107 tak\u017ce ilo\u015b\u0107 gazu albo powi\u0105za\u0107 pojedynczy stan z jego ci\u015bnieniem, obj\u0119to\u015bci\u0105 i temperatur\u0105, skorzystaj z <a href=\"https:\/\/wpcalc.com\/pl\/chemia\/prawo-gazow-doskonalych\/\">kalkulatora prawa gaz\u00f3w idealnych<\/a>. Po\u0142\u0105czone prawo gazowe nie wymaga podania ilo\u015bci gazu, poniewa\u017c zak\u0142ada, \u017ce ilo\u015b\u0107 ta si\u0119 nie zmienia.<\/p>\n<h2>Za\u0142o\u017cenia i wskaz\u00f3wki praktyczne<\/h2>\n<ul>\n<li><strong>Utrzymuj sta\u0142\u0105 ilo\u015b\u0107 gazu.<\/strong> Nie stosuj po\u0142\u0105czonego prawa gazowego bez zmian, je\u015bli mi\u0119dzy dwoma stanami gaz dostaje si\u0119 do uk\u0142adu, ucieka z niego lub reaguje.<\/li>\n<li><strong>U\u017cywaj temperatury bezwzgl\u0119dnej.<\/strong> Podawaj kelwiny, a nie stopnie Celsjusza. Aby zamieni\u0107 temperatur\u0119 w stopniach Celsjusza na kelwiny, dodaj 273,15. Aby obliczenia mia\u0142y sens fizyczny, temperatury musz\u0105 by\u0107 wi\u0119ksze od 0 K.<\/li>\n<li><strong>U\u017cywaj ci\u015bnienia bezwzgl\u0119dnego.<\/strong> Ci\u015bnienie manometryczne mierzy ci\u015bnienie wzgl\u0119dem otoczenia i nie mo\u017ce by\u0107 wprowadzone bezpo\u015brednio tak, jakby by\u0142o ci\u015bnieniem bezwzgl\u0119dnym. Najpierw przelicz je na ci\u015bnienie bezwzgl\u0119dne.<\/li>\n<li><strong>Dopasuj jednostki obj\u0119to\u015bci.<\/strong> Wybierz L dla obu wprowadzanych obj\u0119to\u015bci albo mL dla obu. Na przyk\u0142ad zamie\u0144 500 mL na 0,5 L przed por\u00f3wnaniem z obj\u0119to\u015bci\u0105 podan\u0105 w L.<\/li>\n<li><strong>Uwzgl\u0119dnij zachowanie gaz\u00f3w rzeczywistych.<\/strong> R\u00f3wnanie jest przybli\u017ceniem dla gazu idealnego. Wyniki mog\u0105 by\u0107 mniej wiarygodne przy wysokich ci\u015bnieniach, bardzo niskich temperaturach lub w pobli\u017cu skraplania, gdzie gazy rzeczywiste mog\u0105 istotnie odbiega\u0107 od zachowania idealnego.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Oblicz nieznan\u0105 warto\u015b\u0107 pocz\u0105tkowego lub ko\u0144cowego ci\u015bnienia, obj\u0119to\u015bci albo temperatury, korzystaj\u0105c z po\u0142\u0105czonego prawa gazowego. Wybierz wielko\u015b\u0107 do obliczenia, a nast\u0119pnie wprowad\u017a pozosta\u0142e pi\u0119\u0107 warto\u015bci.<\/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-197","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\/197","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=197"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/197\/revisions"}],"predecessor-version":[{"id":1095,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/197\/revisions\/1095"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/media?parent=197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/categories?post=197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/tags?post=197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}