{"id":38864,"date":"2025-06-26T14:06:00","date_gmt":"2025-06-26T14:06:00","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=38864"},"modified":"2025-06-26T14:06:02","modified_gmt":"2025-06-26T14:06:02","slug":"calculate-the-mass-of-kmnoin-g-required-to-make-414-ml-of-0-02-m-kmnosolution","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/calculate-the-mass-of-kmnoin-g-required-to-make-414-ml-of-0-02-m-kmnosolution\/","title":{"rendered":"Calculate the mass of KMnO(in g) required to make 414 mL of 0.02 M KMnOsolution"},"content":{"rendered":"\n<p>Calculate the mass of KMnO<br>(in g) required to make 414 mL of 0.02 M KMnO<br>solution. (Note: To make the concentration as accurate as possible, an analytical balance will be used to weigh KMnO<br>. The analytical balance can read to 0.0001 g. So, keep four decimal places in the answer.) Answer:<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To calculate the mass of <strong>KMnO\u2084 (potassium permanganate)<\/strong> required to make <strong>414 mL of a 0.02 M solution<\/strong>, follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Convert mL to L<\/strong><\/h3>\n\n\n\n<p>We need the volume in liters (L), because molarity (M) is moles per liter.414\u2009mL=0.414\u2009L414\\, \\text{mL} = 0.414\\, \\text{L}414mL=0.414L<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Use the molarity formula<\/strong><\/h3>\n\n\n\n<p>Molarity (M) = moles of solute \/ liters of solution<\/p>\n\n\n\n<p>Rearranged:moles&nbsp;of&nbsp;KMnO\u2084=M\u00d7V=0.02\u00d70.414=0.00828\u2009mol\\text{moles of KMnO\u2084} = M \\times V = 0.02 \\times 0.414 = 0.00828\\, \\text{mol}moles&nbsp;of&nbsp;KMnO\u2084=M\u00d7V=0.02\u00d70.414=0.00828mol<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Find the molar mass of KMnO\u2084<\/strong><\/h3>\n\n\n\n<p>Use atomic masses from the periodic table:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>K = 39.10 g\/mol<\/li>\n\n\n\n<li>Mn = 54.94 g\/mol<\/li>\n\n\n\n<li>O = 16.00 g\/mol \u00d7 4 = 64.00 g\/mol<\/li>\n<\/ul>\n\n\n\n<p>Molar&nbsp;mass&nbsp;of&nbsp;KMnO\u2084=39.10+54.94+64.00=158.04\u2009g\/mol\\text{Molar mass of KMnO\u2084} = 39.10 + 54.94 + 64.00 = 158.04\\, \\text{g\/mol}Molar&nbsp;mass&nbsp;of&nbsp;KMnO\u2084=39.10+54.94+64.00=158.04g\/mol<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Calculate the mass<\/strong><\/h3>\n\n\n\n<p>Now use the number of moles and multiply by the molar mass:mass=moles\u00d7molar&nbsp;mass=0.00828\u00d7158.04=1.3073\u2009g\\text{mass} = \\text{moles} \\times \\text{molar mass} = 0.00828 \\times 158.04 = 1.3073\\, \\text{g}mass=moles\u00d7molar&nbsp;mass=0.00828\u00d7158.04=1.3073g<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Final Answer:<\/strong><\/h3>\n\n\n\n<p>1.3073\u2009g\\boxed{1.3073\\, \\text{g}}1.3073g\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>To prepare a chemical solution with precision, it is essential to use proper units and conversion steps. The molarity (M) represents the number of moles of solute per liter of solution. Here, we are given a volume of 414 milliliters, which needs to be converted to liters because the molarity unit includes liters, not milliliters.<\/p>\n\n\n\n<p>After converting to 0.414 liters, we multiply this by the given molarity (0.02 M) to find the moles of KMnO\u2084 needed. This gives 0.00828 moles. Next, we calculate the molar mass of KMnO\u2084 by summing the atomic masses of potassium (K), manganese (Mn), and four oxygen (O) atoms. This totals 158.04 g\/mol.<\/p>\n\n\n\n<p>Multiplying the number of moles by the molar mass gives us the mass of KMnO\u2084 required for the solution. This results in <strong>1.3073 grams<\/strong>.<\/p>\n\n\n\n<p>Since an analytical balance that reads to 0.0001 grams is used, the answer is rounded to four decimal places to ensure measurement precision. This approach ensures accurate and reliable preparation of a chemical solution, which is critical in laboratory settings where small errors can impact experimental outcomes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1075.jpeg\" alt=\"\" class=\"wp-image-38865\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1075.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1075-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1075-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the mass of KMnO(in g) required to make 414 mL of 0.02 M KMnOsolution. (Note: To make the concentration as accurate as possible, an analytical balance will be used to weigh KMnO. The analytical balance can read to 0.0001 g. So, keep four decimal places in the answer.) Answer: The Correct Answer and Explanation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-38864","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38864","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=38864"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38864\/revisions"}],"predecessor-version":[{"id":38867,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/38864\/revisions\/38867"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=38864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=38864"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=38864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}