{"id":55816,"date":"2015-10-24T15:57:50","date_gmt":"2015-10-24T13:57:50","guid":{"rendered":"http:\/\/wpcalc.com\/?p=55816"},"modified":"2026-09-28T09:30:59","modified_gmt":"2026-09-28T06:30:59","slug":"molar-flow-rate","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/converters\/molar-flow-rate\/","title":{"rendered":"Molar Flow Rate Converter"},"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\">Convert Molar Flow Rate Between Units<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"55816\" data-favorite-title=\"Molar Flow Rate\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/converters\/molar-flow-rate\/\" data-favorite-excerpt=\"Convert a molar flow rate between mol\/s, mmol\/s, mol\/min, mol\/h, kmol\/h, and mol\/day. Enter a value, then select the starting and target units.\" aria-label=\"Add to Favorites\" 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\/en\/converters\/molar-flow-rate\/\" method=\"POST\" class=\"calculator\" id=\"calculator-55816\" data-post=\"55816\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Molar flow rate value<\/label><input type=\"text\" name=\"molar_flow_rate_value\" id=\"field-1\" aria-describedby=\"calc-unit-1 calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"2\"\/><div class=\"unit\" id=\"calc-unit-1\"><\/div><small id=\"calc-info-1\">Enter the molar flow rate to convert<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">From unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"from_unit\"><option value=\"mol\/s\">Mole per second (mol\/s)<\/option><option value=\"mmol\/s\">Millimole per second (mmol\/s)<\/option><option value=\"mol\/min\">Mole per minute (mol\/min)<\/option><option value=\"mol\/h\">Mole per hour (mol\/h)<\/option><option value=\"kmol\/h\">Kilomole per hour (kmol\/h)<\/option><option value=\"mol\/day\">Mole per day (mol\/day)<\/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-3\"><label for=\"field-3\">To unit<\/label><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"to_unit\"><option value=\"mol\/s\">Mole per second (mol\/s)<\/option><option value=\"mmol\/s\">Millimole per second (mmol\/s)<\/option><option value=\"mol\/min\">Mole per minute (mol\/min)<\/option><option value=\"mol\/h\">Mole per hour (mol\/h)<\/option><option value=\"kmol\/h\">Kilomole per hour (kmol\/h)<\/option><option value=\"mol\/day\">Mole per day (mol\/day)<\/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=\"Re-Calculate\" id=\"calculate-button\" data-post=\"55816\">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\" id=\"output-1\"><span class=\"field-title\"><span>Converted Molar Flow Rate<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copy Result\" aria-label=\"Copy Result\"><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\">Copy link to this calculation<\/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>Leave a Comment<\/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=\"55816\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">How did this result make you feel?<\/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\">Like <\/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\">Helpful <\/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\">Confused <\/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\">Disappointed <\/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\">Inaccurate <\/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>Molar Flow Rate 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\">\n\\[ q_{\\mathrm{out}}=q_{\\mathrm{in}}\\frac{f_{\\mathrm{from}}}{f_{\\mathrm{to}}} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(q_{\\mathrm{in}}\\) \u2014 the entered molar flow rate in the selected starting unit<\/li>\n<li>\\(q_{\\mathrm{out}}\\) \u2014 the converted molar flow rate in the selected target unit<\/li>\n<li>\\(f_{\\mathrm{from}}\\) and \\(f_{\\mathrm{to}}\\) \u2014 the numbers of mol\/s represented by one starting unit and one target unit, respectively<\/li>\n<\/ul>\n<p>The formula first expresses the entered rate in mol\/s, then divides by the mol\/s equivalent of the target unit. It changes the unit, not the physical flow rate.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-459\">.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>Molar Flow Rate \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> Convert the calculator\u2019s default value of 2 mol\/s to mol\/h.<\/p>\n<p>One mol\/h equals \\(1\/3600\\) mol\/s, so:<\/p>\n<p>\\[ q_{\\mathrm{out}}=2\\,\\frac{\\mathrm{mol}}{\\mathrm{s}}\\times\\frac{3600\\,\\mathrm{s}}{1\\,\\mathrm{h}}=7200\\,\\frac{\\mathrm{mol}}{\\mathrm{h}} \\]<\/p>\n<p><strong>Result:<\/strong> 2 mol\/s = 7,200 mol\/h.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to use the calculator<\/h2>\n<ol>\n<li>Enter a nonnegative number in <strong>Molar flow rate value<\/strong>. The default is 2.<\/li>\n<li>Choose the unit of that number in <strong>From unit<\/strong>. The default is mol\/s.<\/li>\n<li>Choose the unit you need in <strong>To unit<\/strong>. The default is mol\/h.<\/li>\n<li>Read <strong>Converted Molar Flow Rate<\/strong>. The result is labeled with the selected target unit.<\/li>\n<\/ol>\n<p>You can select the same unit in both menus to leave the number unchanged. To reverse a conversion, swap the selections in <strong>From unit<\/strong> and <strong>To unit<\/strong>, then enter the value you want to convert back.<\/p>\n<h2>What molar flow rate means<\/h2>\n<p>Molar flow rate is the amount of a substance passing a point or entering or leaving a system per unit time. Amount of substance is measured in moles. For example, 2 mol\/s means that 2 moles pass the chosen point each second. The unit conversion does not depend on which chemical is flowing: one mole is the same amount-of-substance unit whether it describes water, oxygen, or another material.<\/p>\n<p>Molar flow rates are useful in reactor feed calculations, material balances, and stoichiometry. If a process receives two streams measured in different units, convert them to a common unit before adding or comparing their rates. A rate in mol\/day may be convenient for reporting daily production, while mol\/s may be more useful for a calculation expressed in seconds. Neither unit indicates a different physical flow; only the numerical representation changes.<\/p>\n<p>Molar flow rate differs from mass flow rate, which measures mass per unit time. Converting between the two requires the substance\u2019s molar mass as well as its flow rate. If you are working with kilograms per second or pounds per hour, use the <a href=\"https:\/\/wpcalc.com\/en\/converters\/mass-flow-rate\/\">Mass Flow Rate Converter<\/a> for conversions between mass-flow units; changing a molar-flow unit alone will not produce a mass-flow value.<\/p>\n<h2>Supported units and conversion factors<\/h2>\n<p>The calculator uses mol\/s as its reference unit. Each factor below tells you how many mol\/s equal one unit in the left column. For example, 1 kmol\/h is \\(1000\/3600\\) mol\/s because a kilomole contains 1,000 moles and an hour contains 3,600 seconds.<\/p>\n<table>\n<thead>\n<tr>\n<th>Unit<\/th>\n<th>Equivalent in mol\/s<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>mol\/s<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>mmol\/s<\/td>\n<td>0.001<\/td>\n<\/tr>\n<tr>\n<td>mol\/min<\/td>\n<td>1\/60<\/td>\n<\/tr>\n<tr>\n<td>mol\/h<\/td>\n<td>1\/3600<\/td>\n<\/tr>\n<tr>\n<td>kmol\/h<\/td>\n<td>1000\/3600<\/td>\n<\/tr>\n<tr>\n<td>mol\/day<\/td>\n<td>1\/86400<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>To check a conversion by hand, multiply the entered number by its starting-unit factor and divide by its target-unit factor. For instance, converting from mol\/h to kmol\/h divides the numerical value by 1,000. Converting from mol\/day to mol\/h divides it by 24. These relationships follow from the unit prefixes and time intervals, without requiring any information about the material.<\/p>\n<h2>Assumptions and practical tips<\/h2>\n<p>The time conversions assume a day of exactly 24 hours, an hour of 60 minutes, and a minute of 60 seconds. The converter accepts zero and positive values. It reports the converted number rounded for display, so a very small nonzero result may appear as zero; choose a smaller unit, such as mmol\/s, when you need a more readable number.<\/p>\n<p>Check that the original measurement is an <em>amount-of-substance<\/em> flow rate before entering it. A volumetric gas flow rate cannot be converted to mol\/s from its units alone: temperature, pressure, and other conditions may be needed to determine the amount of gas. For related gas calculations, see the <a href=\"https:\/\/wpcalc.com\/en\/converters\/pressure\/\">Pressure Converter<\/a>. If your work concerns dissolved-gas equilibrium rather than flow, the <a href=\"https:\/\/wpcalc.com\/en\/converters\/henrys-law\/\">Henry\u2019s Law Calculator<\/a> addresses a different relationship.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert a molar flow rate between mol\/s, mmol\/s, mol\/min, mol\/h, kmol\/h, and mol\/day. Enter a value, then select the starting and target units.<\/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":[3],"tags":[34],"class_list":["post-55816","post","type-post","status-publish","format-standard","hentry","category-converters","tag-physics-units"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55816","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=55816"}],"version-history":[{"count":2,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55816\/revisions"}],"predecessor-version":[{"id":65298,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/55816\/revisions\/65298"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=55816"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=55816"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=55816"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}