{"id":66458,"date":"2026-10-06T17:17:36","date_gmt":"2026-10-06T14:17:36","guid":{"rendered":"https:\/\/wpcalc.com\/en\/?p=66458"},"modified":"2026-10-06T17:17:36","modified_gmt":"2026-10-06T14:17:36","slug":"molarity-calculator","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/en\/chemistry\/molarity-calculator\/","title":{"rendered":"Molarity 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 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Find the Concentration of Your Solution<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"66458\" data-favorite-title=\"Molarity\" data-favorite-url=\"https:\/\/wpcalc.com\/en\/chemistry\/molarity-calculator\/\" data-favorite-excerpt=\"Calculate the molarity (molar concentration) of a solution from the solute mass and molar mass, or directly from moles, and the total solution volume. Results are given in mol\/L.\" aria-label=\"Add to Favorites\" data-favorite-icon=\"icon icon-chemistry\">\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\/chemistry\/molarity-calculator\/\" method=\"POST\" class=\"calculator\" id=\"calculator-66458\" data-post=\"66458\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Input Fields<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Input Method<\/label><div class=\"grid grid-cols-1\"><select id=\"field-1\" name=\"input_method\"><option value=\"mass\" selected>Solute mass &amp; molar mass<\/option><option value=\"moles\">Moles of solute<\/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 has-term\" id=\"input-2\"><label for=\"field-2\">Solute Mass (m)<\/label><div class=\"term\">m<\/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=\"solute_mass_m\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 58.44\" min=\"0\" value=\"58.44\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"unit\" aria-label=\"Unit\"><option value=\"g\" selected>g<\/option><option value=\"mg\">mg<\/option><option value=\"kg\">kg<\/option><option value=\"lb\">lb<\/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-2\">Mass of the substance dissolved (e.g. 58.44 g of NaCl)<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">Molar Mass (M)<\/label><div class=\"term\">M<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"molar_mass_m\" id=\"field-4\" aria-describedby=\"calc-unit-4 calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 58.44\" min=\"0\" value=\"58.44\"\/><div class=\"unit\" id=\"calc-unit-4\">g\/mol<\/div><small id=\"calc-info-4\">Mass of one mole of the solute (e.g. 58.44 g\/mol for NaCl)<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-5\">Moles of Solute (n)<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"moles_of_solute_n\" id=\"field-5\" aria-describedby=\"calc-unit-5 calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1\" min=\"0\" value=\"1\"\/><div class=\"unit\" id=\"calc-unit-5\">mol<\/div><small id=\"calc-info-5\">Amount of substance dissolved<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-6\">Solution Volume (V)<\/label><div class=\"term\">V<\/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=\"solution_volume_v\" id=\"field-6\" aria-describedby=\"calc-info-6\" 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-7\" name=\"unit\" aria-label=\"Unit\"><option value=\"L\" selected>L<\/option><option value=\"mL\">mL<\/option><option value=\"uL\">\u00b5L<\/option><option value=\"m3\">m\u00b3<\/option><option value=\"gal\">gal (US)<\/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-6\">Total volume of the prepared solution<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Re-Calculate\" id=\"calculate-button\" data-post=\"66458\">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> Solution Concentration<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Molarity<\/span><span class=\"result-term\">c<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"mol\/L\"><\/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 class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Moles of Solute<\/span><span class=\"result-term\">n<\/span><\/span><span class=\"field-value\" id=\"result-2\" data-unit=\"mol\"><\/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=\"66458\" 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>Molarity 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\">\\[ c = \\frac{n}{V} = \\frac{m}{M \\cdot V} \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Where:<\/strong><\/p>\n<ul>\n<li>\\(c\\) \u2014 molarity of the solution (mol\/L)<\/li>\n<li>\\(n\\) \u2014 moles of solute (mol)<\/li>\n<li>\\(V\\) \u2014 total volume of the solution (L)<\/li>\n<li>\\(m\\) \u2014 mass of the solute (g)<\/li>\n<li>\\(M\\) \u2014 molar mass of the solute (g\/mol)<\/li>\n<\/ul>\n<p>The formula expresses the molar concentration: the number of moles of a substance dissolved per liter of solution. If you start from a mass, the moles are first obtained by dividing by the molar mass, \\(n = m \/ M\\).<\/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>Molarity \u2013 Calculation Example<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Example:<\/strong> 58.44 g of sodium chloride (NaCl, molar mass 58.44 g\/mol) is dissolved in water and the final solution volume is 0.5 L.<\/p>\n<p>\\[ n = \\frac{m}{M} = \\frac{58.44}{58.44} = 1 \\text{ mol} \\]<\/p>\n<p>\\[ c = \\frac{n}{V} = \\frac{1}{0.5} = 2 \\text{ mol\/L} \\]<\/p>\n<p><strong>Result:<\/strong> the molarity is 2 mol\/L (2 M), obtained from 1 mol of NaCl in 0.5 L of solution.<\/p>\n<p>\n\r\n<\/section>\n<h2>How to Use the Molarity Calculator<\/h2>\n<ol>\n<li>Choose the <strong>Input Method<\/strong>: \u201cSolute mass &amp; molar mass\u201d if you know how many grams you weighed out, or \u201cMoles of solute\u201d if you already know the amount in moles.<\/li>\n<li>If you selected the mass method, enter the <strong>Solute Mass (m)<\/strong> and pick its unit (g, mg, kg or lb), then enter the <strong>Molar Mass (M)<\/strong> in g\/mol. For NaCl this is 58.44 g\/mol; you can build molar masses from tabulated <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/atomic-mass\/\">atomic masses<\/a>.<\/li>\n<li>If you selected the moles method, enter the <strong>Moles of Solute (n)<\/strong> instead.<\/li>\n<li>Enter the <strong>Solution Volume (V)<\/strong> and select its unit (L, mL, \u00b5L, m\u00b3 or US gallons). This must be the <em>total<\/em> volume of the finished solution, not the volume of solvent added.<\/li>\n<li>Read the results: the <strong>Molarity<\/strong> in mol\/L and the <strong>Moles of Solute<\/strong> in the solution.<\/li>\n<\/ol>\n<h2>What Is Molarity?<\/h2>\n<p>Molarity (symbol \\(c\\), often written as M) is the most common way to express the concentration of a chemical solution. It tells you how many moles of solute are contained in one liter of solution. A 1 M (\u201cone molar\u201d) solution contains exactly one mole of solute per liter; a 0.5 M solution contains half a mole per liter.<\/p>\n<p>Because it is based on moles rather than mass, molarity connects directly to stoichiometry. When a reaction equation says 2 moles of A react with 1 mole of B, equal molarities and equal volumes mean the reactants are present in a simple stoichiometric ratio. That is why recipes in the lab, buffer preparations and titration calculations are nearly always written in mol\/L.<\/p>\n<p>A key point: molarity is defined per liter of <em>solution<\/em>, not per liter of solvent. In practice you dissolve the solute in somewhat less than the final volume, then top up to the exact volume in a volumetric flask. If you divided by the volume of water added instead, the result would be slightly wrong \u2014 dissolving a substance usually changes the total volume.<\/p>\n<p>When you know a concentrated stock solution and need a dilute one, molarity combines naturally with the dilution relation \\(C_1V_1 = C_2V_2\\); our <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/c1v1-c2v2\/\">C1V1 = C2V2 calculator<\/a> handles that step.<\/p>\n<h2>Assumptions, Limitations and Practical Tips<\/h2>\n<ul>\n<li><strong>Volume is the final solution volume.<\/strong> Always measure it after the solute is fully dissolved, ideally with volumetric glassware.<\/li>\n<li><strong>The molar mass must match the actual substance.<\/strong> Use the molar mass of the form you weighed \u2014 anhydrous vs. hydrated salts differ a lot (e.g. CuSO\u2084 is 159.6 g\/mol, but CuSO\u2084\u00b75H\u2082O is 249.7 g\/mol).<\/li>\n<li><strong>Temperature matters for high precision.<\/strong> Volume expands slightly with temperature, so molarity is temperature-dependent; the related unit molality (moles per kg of solvent) is not.<\/li>\n<li><strong>Molarity assumes the solute dissolves completely and unchanged.<\/strong> If the substance reacts with the solvent, dissociates or associates, the molarity you calculate refers to the formula unit you used, not to the actual species in solution. For acid\u2013base work this distinction is important \u2014 our <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/acetate-buffer-2\/\">acetate buffer calculator<\/a> shows how dissociation affects a prepared solution.<\/li>\n<li><strong>Unit conversions are handled for you.<\/strong> Masses in mg, kg or pounds and volumes in mL, \u00b5L, m\u00b3 or gallons are converted internally, so the answer in mol\/L is always on a consistent basis.<\/li>\n<\/ul>\n<p>If you need to relate the amount of substance to the number of particles instead, the <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/convert-atoms-to-moles\/\">atoms-to-moles converter<\/a> is the natural next step, since one mole always contains Avogadro's number of entities.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the molarity (molar concentration) of a solution from the solute mass and molar mass, or directly from moles, and the total solution volume. Results are given in mol\/L.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[54],"tags":[56],"class_list":["post-66458","post","type-post","status-publish","format-standard","hentry","category-chemistry","tag-stoichiometry"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66458","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\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/comments?post=66458"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66458\/revisions"}],"predecessor-version":[{"id":66459,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/posts\/66458\/revisions\/66459"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/media?parent=66458"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/categories?post=66458"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/en\/wp-json\/wp\/v2\/tags?post=66458"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}