{"id":59560,"date":"2016-04-02T09:51:15","date_gmt":"2016-04-02T07:51:15","guid":{"rendered":"http:\/\/wpcalc.com\/?p=59560"},"modified":"2025-05-20T12:02:06","modified_gmt":"2025-05-20T09:02:06","slug":"combined-gas-law","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/chemistry\/combined-gas-law\/","title":{"rendered":"Combined Gas Law Calculator"},"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 class=\"text-lg font-display font-bold\">Combined Gas Law Calculator<\/h2><\/div><div class=\"relative group inline-block\">\n  <button class=\"favorite\" id=\"favorite\" data-favorite-id=\"59560\" data-favorite-title=\"Combined Gas Law\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/chemistry\/combined-gas-law\/\" data-favorite-excerpt=\"The Combined Gas Law Calculator helps determine the missing parameter among pressure, volume, and temperature by applying the combined gas law, which merges Boyle\u2019s, Charles\u2019s, and Gay-Lussac\u2019s laws. It\u2019s especially useful in thermodynamics and chemistry to analyze gas behavior when multiple variables change. Simply input five known values to solve for the sixth.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-wind-2\">\n    <span class=\"icon icon-shape-star-empty\"><\/span>\n  <\/button>\n  <div class=\"absolute right-full -translate-y-1\/2 top-1\/2 mr-2 w-max max-w-xs px-3 py-2 bg-gray-800 text-white text-xs rounded shadow-lg opacity-0 group-hover:opacity-100 transition-opacity duration-200 z-10 pointer-events-none\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/en\/chemistry\/combined-gas-law\/\" method=\"POST\" class=\"calculator\" id=\"calculator-59560\" data-post=\"59560\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">I want to calculate<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"i_want_to_calculate\"><option value=\"vi\">Initial Volume (V\u1d62)<\/option><option value=\"pi\">Initial Pressure (P\u1d62)<\/option><option value=\"ti\">Initial Temperature (T\u1d62)<\/option><option value=\"vf\">Final Volume (Vf)<\/option><option value=\"pf\">Final Pressure (Pf)<\/option><option value=\"tf\">Final Temperature (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\">Initial Volume (V\u1d62)<\/label><div class=\"field-group\"><input type=\"number\" name=\"initial_volume_v\" id=\"field-2\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"unit\" aria-label=\"Unit\"><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\">Initial Pressure (P\u1d62)<\/label><div class=\"field-group\"><input type=\"number\" name=\"initial_pressure_p\" id=\"field-4\" step=\"any\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"unit\" aria-label=\"Unit\"><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\">Initial Temperature (T\u1d62)<\/label><input type=\"number\" name=\"initial_temperature_t\" id=\"field-6\" step=\"any\" value=\"273\"\/><div class=\"unit\">K<\/div><\/div><div class=\"field\" id=\"input-5\"><label for=\"field-7\">Final Volume (Vf)<\/label><div class=\"field-group\"><input type=\"number\" name=\"final_volume_vf\" id=\"field-7\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"unit\" aria-label=\"Unit\"><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\">Final Pressure (Pf)<\/label><div class=\"field-group\"><input type=\"number\" name=\"final_pressure_pf\" id=\"field-9\" step=\"any\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"unit\" aria-label=\"Unit\"><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\">Final Temperature (Tf)<\/label><input type=\"number\" name=\"final_temperature_tf\" id=\"field-11\" step=\"any\" value=\"293\"\/><div class=\"unit\">K<\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"59560\">Calculate<\/button><button type=\"reset\">Reset<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calculate automatically<\/label><small>If enabled, the result will update automatically when you change any value.<\/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> Your Results<\/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 class=\"copy-result\" data-tooltip=\"Copy Result\"><span class=\"copy-icon icon icon-document-copy\"><\/span><\/button><\/div><\/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\" 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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>Combined Gas Law Formula<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Formula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">$$\\frac{P_i \\cdot V_i}{T_i} = \\frac{P_f \\cdot V_f}{T_f}$$<\/div>\r\n\t<\/figure>\r\n\t<br \/>\n<strong>Where:<\/strong> <\/p>\n<ul>\n<li>$$P_i$$, $$V_i$$, $$T_i$$ are the initial pressure, volume, and temperature<\/li>\n<li>$$P_f$$, $$V_f$$, $$T_f$$ are the final pressure, volume, and temperature<\/li>\n<li>Temperatures must be in Kelvin (K)<\/li>\n<li>Pressures and volumes should use consistent units<\/li>\n<\/ul>\n<p>\r\n<\/section><br \/>\nThe combined gas law is widely used in physics and chemistry when a gas undergoes changes involving pressure, volume, and temperature. It allows you to find one unknown variable when the other five are known. For example, you can calculate the final temperature after a gas is compressed or expanded, or determine the initial pressure before heating. It\u2019s especially useful for laboratory experiments and industrial gas processes. Always ensure temperatures are converted to Kelvin and units are consistent to maintain accuracy.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Combined Gas Law Calculator helps determine the missing parameter among pressure, volume, and temperature by applying the combined gas law, which merges Boyle\u2019s, Charles\u2019s, and Gay-Lussac\u2019s laws. It\u2019s especially useful in thermodynamics and chemistry to analyze gas behavior when multiple variables change. Simply input five known values to solve for the sixth.<\/p>\n","protected":false},"author":70,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[54],"tags":[55],"class_list":["post-59560","post","type-post","status-publish","format-standard","hentry","category-chemistry","tag-gases"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59560","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/users\/70"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=59560"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59560\/revisions"}],"predecessor-version":[{"id":64709,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/59560\/revisions\/64709"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=59560"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=59560"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=59560"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}