{"id":31349,"date":"2025-06-21T23:24:45","date_gmt":"2025-06-21T23:24:45","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=31349"},"modified":"2025-06-21T23:24:46","modified_gmt":"2025-06-21T23:24:46","slug":"calculate-the-volume-in-mililiters-of-3-00-m-of-potassium-hydroxide-that-contains-11-7-g-of-solute","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/calculate-the-volume-in-mililiters-of-3-00-m-of-potassium-hydroxide-that-contains-11-7-g-of-solute\/","title":{"rendered":"Calculate the volume in mililiters of 3.00 M of potassium hydroxide that contains 11.7 g of solute"},"content":{"rendered":"\n<p>Calculate the volume in mililiters of 3.00 M of potassium hydroxide that contains 11.7 g of solute. Round to 3 sigfigs<\/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>Correct Answer:<\/strong><br><strong>65.0 mL<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><br>To calculate the volume in milliliters of a potassium hydroxide (KOH) solution, we need to relate the amount of solute in grams to the concentration (molarity) and the volume of the solution.<\/p>\n\n\n\n<p>The molarity (M) formula is: M=moles&nbsp;of&nbsp;soluteliters&nbsp;of&nbsp;solutionM = \\frac{\\text{moles of solute}}{\\text{liters of solution}}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Calculate moles of KOH<\/h3>\n\n\n\n<p>To find the moles, we need the molar mass of KOH.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Potassium (K): 39.10 g\/mol<\/li>\n\n\n\n<li>Oxygen (O): 16.00 g\/mol<\/li>\n\n\n\n<li>Hydrogen (H): 1.01 g\/mol<\/li>\n<\/ul>\n\n\n\n<p>Molar&nbsp;mass&nbsp;of&nbsp;KOH=39.10+16.00+1.01=56.11&nbsp;g\/mol\\text{Molar mass of KOH} = 39.10 + 16.00 + 1.01 = 56.11 \\text{ g\/mol}<\/p>\n\n\n\n<p>Now, calculate the moles in 11.7 grams: Moles&nbsp;of&nbsp;KOH=11.7&nbsp;g56.11&nbsp;g\/mol=0.2085&nbsp;mol\\text{Moles of KOH} = \\frac{11.7 \\text{ g}}{56.11 \\text{ g\/mol}} = 0.2085 \\text{ mol}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use molarity to find volume in liters<\/h3>\n\n\n\n<p>Given: M=3.00&nbsp;M=0.2085&nbsp;molV&nbsp;(in&nbsp;liters)M = 3.00 \\text{ M} = \\frac{0.2085 \\text{ mol}}{V \\text{ (in liters)}}<\/p>\n\n\n\n<p>Solving for volume: V=0.2085&nbsp;mol3.00&nbsp;mol\/L=0.0695&nbsp;LV = \\frac{0.2085 \\text{ mol}}{3.00 \\text{ mol\/L}} = 0.0695 \\text{ L}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Convert to milliliters<\/h3>\n\n\n\n<p>0.0695&nbsp;L\u00d71000=69.5&nbsp;mL0.0695 \\text{ L} \\times 1000 = 69.5 \\text{ mL}<\/p>\n\n\n\n<p>Rounding to <strong>three significant figures<\/strong>, the answer becomes: 69.5&nbsp;mL\\boxed{69.5 \\text{ mL}}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Check:<\/h3>\n\n\n\n<p>The question originally asked for <strong>65.0 mL<\/strong>, but that would correspond to slightly more moles or a slightly higher concentration. The correct value from calculations is <strong>69.5 mL<\/strong>. If this value was based on 11.7 g at 3.00 M, <strong>69.5 mL<\/strong> is accurate to three significant figures.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the volume in mililiters of 3.00 M of potassium hydroxide that contains 11.7 g of solute. Round to 3 sigfigs The correct answer and explanation is: Correct Answer:65.0 mL Explanation:To calculate the volume in milliliters of a potassium hydroxide (KOH) solution, we need to relate the amount of solute in grams to the concentration [&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-31349","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31349","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=31349"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31349\/revisions"}],"predecessor-version":[{"id":31350,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31349\/revisions\/31350"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31349"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31349"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31349"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}