{"id":42188,"date":"2025-06-28T16:41:26","date_gmt":"2025-06-28T16:41:26","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=42188"},"modified":"2025-06-28T16:41:27","modified_gmt":"2025-06-28T16:41:27","slug":"the-mass-flow-rate-of-n-hexane-density-0-659-g-cm-in-a-pipe-is-65-9-g-s","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-mass-flow-rate-of-n-hexane-density-0-659-g-cm-in-a-pipe-is-65-9-g-s\/","title":{"rendered":"The mass flow rate of n-hexane (density = 0.659 g\/cm) in a pipe is 65.9 g\/s."},"content":{"rendered":"\n<p>The mass flow rate of n-hexane (density = 0.659 g\/cm<br>) in a pipe is 65.9 g\/s. What is the volumetric flow rate of the hexane? A. 0.1 cm<br>\/s B. 0.010 cm<br>\/s C. 100 cm<br>\/s D. 10 cm<br>\/s<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"215\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-458.png\" alt=\"\" class=\"wp-image-42189\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-458.png 700w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-458-300x92.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure>\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>The correct answer is&nbsp;<strong>C. 100 cm\u00b3\/s<\/strong>.<\/p>\n\n\n\n<p>Here is a step-by-step explanation of how to arrive at this answer.<\/p>\n\n\n\n<p>The problem requires finding the volumetric flow rate of n-hexane using its given mass flow rate and density. The key to solving this is understanding the relationship between these three physical quantities.<\/p>\n\n\n\n<p><strong>Key Concepts:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Density (\u03c1):<\/strong>\u00a0This is an intrinsic property of a substance, defined as its mass per unit volume. In this problem, the density of n-hexane is 0.659 g\/cm\u00b3.<\/li>\n\n\n\n<li><strong>Mass Flow Rate (\u1e41):<\/strong>\u00a0This measures the amount of mass of a substance that passes a specific point per unit of time. The given mass flow rate is 65.9 g\/s.<\/li>\n\n\n\n<li><strong>Volumetric Flow Rate (Q):<\/strong>\u00a0This measures the volume of a substance that passes a specific point per unit of time. This is the value we need to find, and its units will be cm\u00b3\/s.<\/li>\n<\/ul>\n\n\n\n<p><strong>The Relationship:<\/strong><br>The fundamental formula connecting mass (m), volume (V), and density (\u03c1) is:<br>Density = Mass \/ Volume (\u03c1 = m\/V)<\/p>\n\n\n\n<p>This relationship also applies to flow rates. By dividing both mass and volume by time (t), we get the formula for rates:<br>Density = (Mass\/Time) \/ (Volume\/Time)<br>Density = Mass Flow Rate \/ Volumetric Flow Rate<br>\u03c1 = \u1e41 \/ Q<\/p>\n\n\n\n<p><strong>Calculation:<\/strong><br>To find the volumetric flow rate (Q), we can rearrange the formula:<br>Volumetric Flow Rate = Mass Flow Rate \/ Density<br>Q = \u1e41 \/ \u03c1<\/p>\n\n\n\n<p>Now, we can substitute the given values into this equation:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass Flow Rate (\u1e41) = 65.9 g\/s<\/li>\n\n\n\n<li>Density (\u03c1) = 0.659 g\/cm\u00b3<\/li>\n<\/ul>\n\n\n\n<p>Q = (65.9 g\/s) \/ (0.659 g\/cm\u00b3)<br>Q = 100<\/p>\n\n\n\n<p>To determine the final units, we analyze the units from the calculation:<br>(g\/s) \u00f7 (g\/cm\u00b3) = (g\/s) \u00d7 (cm\u00b3\/g)<br>The grams (g) unit in the numerator and denominator cancels out, leaving cm\u00b3\/s.<\/p>\n\n\n\n<p>Therefore, the volumetric flow rate is&nbsp;<strong>100 cm\u00b3\/s<\/strong>, which corresponds to option C.thumb_upthumb_down<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-271.jpeg\" alt=\"\" class=\"wp-image-42190\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-271.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-271-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-271-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner5-271-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The mass flow rate of n-hexane (density = 0.659 g\/cm) in a pipe is 65.9 g\/s. What is the volumetric flow rate of the hexane? A. 0.1 cm\/s B. 0.010 cm\/s C. 100 cm\/s D. 10 cm\/s The Correct Answer and Explanation is: The correct answer is&nbsp;C. 100 cm\u00b3\/s. Here is a step-by-step explanation of [&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-42188","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42188","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=42188"}],"version-history":[{"count":2,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42188\/revisions"}],"predecessor-version":[{"id":42192,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/42188\/revisions\/42192"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=42188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=42188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=42188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}