{"id":21093,"date":"2025-06-15T07:30:37","date_gmt":"2025-06-15T07:30:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21093"},"modified":"2025-06-15T07:30:43","modified_gmt":"2025-06-15T07:30:43","slug":"what-is-the-mass-of-nacl-in-64-7-ml-of-a-10-0-w-v-solution","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-mass-of-nacl-in-64-7-ml-of-a-10-0-w-v-solution\/","title":{"rendered":"What is the mass of NaCl in 64.7 mL of a 10.0% w\/v solution"},"content":{"rendered":"\n<p>What is the mass of NaCl in 64.7 mL of a 10.0% w\/v solution?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Answer:<\/strong><br>The mass of NaCl in 64.7 mL of a 10.0% w\/v solution is <strong>6.47 grams<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation (300 words):<\/strong><\/p>\n\n\n\n<p>To find the mass of NaCl in a given volume of a 10.0% w\/v (weight\/volume) solution, we first need to understand what the percentage concentration means.<\/p>\n\n\n\n<p>A <strong>10.0% w\/v solution<\/strong> means that there are 10.0 grams of solute (NaCl) dissolved in every 100 milliliters of the solution. The notation \u201cw\/v\u201d literally stands for weight per volume.<\/p>\n\n\n\n<p>Given this, the concentration tells us:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>10.0 g NaCl \/ 100 mL solution<\/li>\n<\/ul>\n\n\n\n<p>Now, we want to find the mass of NaCl in <strong>64.7 mL<\/strong> of this solution.<\/p>\n\n\n\n<p>We can use a simple proportion based on the definition of concentration: mass&nbsp;of&nbsp;NaCl=(10.0&nbsp;g&nbsp;NaCl100&nbsp;mL&nbsp;solution)\u00d764.7&nbsp;mL&nbsp;solution\\text{mass of NaCl} = \\left(\\frac{10.0 \\text{ g NaCl}}{100 \\text{ mL solution}}\\right) \\times 64.7 \\text{ mL solution}<\/p>\n\n\n\n<p>Calculate: mass&nbsp;of&nbsp;NaCl=0.10&nbsp;g\/mL\u00d764.7&nbsp;mL=6.47&nbsp;g\\text{mass of NaCl} = 0.10 \\text{ g\/mL} \\times 64.7 \\text{ mL} = 6.47 \\text{ g}<\/p>\n\n\n\n<p>Therefore, 64.7 mL of a 10.0% w\/v NaCl solution contains 6.47 grams of sodium chloride.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Additional points to consider:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The w\/v percentage is often used in solutions where the solute is a solid dissolved in a liquid, and the volume of the solution is measured in milliliters.<\/li>\n\n\n\n<li>The density of the solution is not necessarily needed here because the w\/v percentage is based on total volume of solution, not just the solvent.<\/li>\n\n\n\n<li>This calculation assumes the solution is well mixed and homogeneous.<\/li>\n\n\n\n<li>If the problem asked for a different unit (such as molarity or mass in different units), additional steps would be needed.<\/li>\n<\/ul>\n\n\n\n<p>This method can be applied for any w\/v percentage solution if you know the volume and want to find the mass of solute.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the mass of NaCl in 64.7 mL of a 10.0% w\/v solution? The correct answer and explanation is: Answer:The mass of NaCl in 64.7 mL of a 10.0% w\/v solution is 6.47 grams. Explanation (300 words): To find the mass of NaCl in a given volume of a 10.0% w\/v (weight\/volume) solution, we [&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-21093","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21093","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=21093"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21093\/revisions"}],"predecessor-version":[{"id":21094,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21093\/revisions\/21094"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}