{"id":28493,"date":"2025-06-20T12:51:37","date_gmt":"2025-06-20T12:51:37","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=28493"},"modified":"2025-06-20T12:51:39","modified_gmt":"2025-06-20T12:51:39","slug":"glycerine-at-20c-has-a-specific-gravity-of-1-263","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/glycerine-at-20c-has-a-specific-gravity-of-1-263\/","title":{"rendered":"Glycerine at 20\u00b0C has a specific gravity of 1.263"},"content":{"rendered":"\n<p>Glycerine at 20\u00b0C has a specific gravity of 1.263. Compute its density and specific weight.<\/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>Let&#8217;s solve the problem step-by-step:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Given:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Specific gravity (SG) of glycerine at 20\u00b0C = 1.263<\/li>\n\n\n\n<li>Temperature = 20\u00b0C (important because density depends on temperature)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">What to find:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Density (\u03c1) of glycerine (in kg\/m\u00b3 or g\/cm\u00b3)<\/li>\n\n\n\n<li>Specific weight (\u03b3) of glycerine (in N\/m\u00b3)<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understanding specific gravity<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Specific gravity (SG)<\/strong> is the ratio of the density of a substance to the density of water at a specified temperature (usually 4\u00b0C for water since it is the max density point).<\/li>\n\n\n\n<li>The density of water at 4\u00b0C = 1000 kg\/m\u00b3 (or 1 g\/cm\u00b3)<\/li>\n\n\n\n<li>So:<\/li>\n<\/ul>\n\n\n\n<p>SG=\u03c1substance\u03c1waterSG = \\frac{\\rho_{\\text{substance}}}{\\rho_{\\text{water}}}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Calculate density of glycerine<\/h3>\n\n\n\n<p>\u03c1glycerine=SG\u00d7\u03c1water=1.263\u00d71000=1263&nbsp;kg\/m3\\rho_{\\text{glycerine}} = SG \\times \\rho_{\\text{water}} = 1.263 \\times 1000 = 1263 \\text{ kg\/m}^3<\/p>\n\n\n\n<p>So, the density of glycerine at 20\u00b0C is <strong>1263 kg\/m\u00b3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Calculate specific weight<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Specific weight (\u03b3) is the weight per unit volume.<\/li>\n\n\n\n<li>It is related to density by:<\/li>\n<\/ul>\n\n\n\n<p>\u03b3=\u03c1\u00d7g\\gamma = \\rho \\times g<\/p>\n\n\n\n<p>where gg = acceleration due to gravity \u2248 9.81 m\/s\u00b2. \u03b3=1263\u00d79.81=12394.03&nbsp;N\/m3\\gamma = 1263 \\times 9.81 = 12394.03 \\text{ N\/m}^3<\/p>\n\n\n\n<p>So, the specific weight of glycerine is approximately <strong>12,394 N\/m\u00b3<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Summary:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Density of glycerine at 20\u00b0C = <strong>1263 kg\/m\u00b3<\/strong><\/li>\n\n\n\n<li>Specific weight of glycerine at 20\u00b0C = <strong>12,394 N\/m\u00b3<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation (300 words):<\/h3>\n\n\n\n<p>Specific gravity is a dimensionless quantity that compares the density of a substance to the density of a reference substance, usually water at 4\u00b0C. Because the density of water at this temperature is 1000 kg\/m\u00b3, the specific gravity numerically equals the density of the substance in kg\/m\u00b3 divided by 1000.<\/p>\n\n\n\n<p>In this problem, glycerine&#8217;s specific gravity is 1.263, meaning glycerine is 1.263 times denser than water. To find the actual density, multiply this ratio by the density of water, which results in 1263 kg\/m\u00b3. This tells us that one cubic meter of glycerine weighs more than one cubic meter of water due to its higher molecular mass and packing density.<\/p>\n\n\n\n<p>Specific weight, on the other hand, represents the force per unit volume due to gravity. It is computed by multiplying the density by gravitational acceleration (9.81 m\/s\u00b2 on Earth). Specific weight is useful in fluid mechanics and engineering because it directly relates to the weight force exerted by the fluid volume, important for calculating pressure, buoyancy, and flow characteristics.<\/p>\n\n\n\n<p>Here, multiplying 1263 kg\/m\u00b3 by 9.81 m\/s\u00b2 gives about 12,394 N\/m\u00b3, meaning that each cubic meter of glycerine weighs approximately 12,394 newtons (about 1263 kilograms-force).<\/p>\n\n\n\n<p>Both values are essential for practical applications such as designing equipment that handles glycerine, estimating fluid flow in pipes, or calculating forces on submerged structures. Temperature is crucial because fluid density changes with temperature; here, the value is specifically for 20\u00b0C, which is standard room temperature.<\/p>\n\n\n\n<p>In summary, knowing specific gravity allows quick density calculation by comparison to water, and specific weight connects that density to gravitational force, both key properties in fluid dynamics and engineering design.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Glycerine at 20\u00b0C has a specific gravity of 1.263. Compute its density and specific weight. The correct answer and explanation is: Let&#8217;s solve the problem step-by-step: Given: What to find: Step 1: Understanding specific gravity SG=\u03c1substance\u03c1waterSG = \\frac{\\rho_{\\text{substance}}}{\\rho_{\\text{water}}} Step 2: Calculate density of glycerine \u03c1glycerine=SG\u00d7\u03c1water=1.263\u00d71000=1263&nbsp;kg\/m3\\rho_{\\text{glycerine}} = SG \\times \\rho_{\\text{water}} = 1.263 \\times 1000 = 1263 [&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-28493","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28493","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=28493"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28493\/revisions"}],"predecessor-version":[{"id":28494,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28493\/revisions\/28494"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}