A pharmacist weighs out 2 kg of glycerin ( density 1.25 g \/ ml ) . Calculate for the volume of glycerin?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To calculate the volume<\/strong> of glycerin from its mass<\/strong> and density<\/strong>, we use the formula: Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}<\/p>\n\n\n\n Given:<\/strong><\/p>\n\n\n\n Now plug into the formula: Volume=2000 g1.25 g\/mL=1600 mL\\text{Volume} = \\frac{2000\\ \\text{g}}{1.25\\ \\text{g\/mL}} = 1600\\ \\text{mL}<\/p>\n\n\n\n Volume = 1600 mL<\/strong> To solve this problem, we need to understand the relationship between mass<\/strong>, density<\/strong>, and volume<\/strong>. These three are connected through the formula: Density=MassVolume\\text{Density} = \\frac{\\text{Mass}}{\\text{Volume}}<\/p>\n\n\n\n If you rearrange this formula to solve for volume<\/strong>, you get: Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}}<\/p>\n\n\n\n In the context of this problem, a pharmacist is weighing out 2 kilograms of glycerin. Since the given density is in grams per milliliter (g\/mL)<\/strong>, we must convert kilograms to grams<\/strong> to match the units: 2 kg=2000 grams2\\ \\text{kg} = 2000\\ \\text{grams}<\/p>\n\n\n\n Now we substitute into the formula using the given density of 1.25 g\/mL: Volume=20001.25=1600 mL\\text{Volume} = \\frac{2000}{1.25} = 1600\\ \\text{mL}<\/p>\n\n\n\n This tells us that 2000 grams (or 2 kg) of glycerin occupies 1600 milliliters of volume. For convenience, since pharmacists often work in liters, we can convert milliliters to liters: 1600 mL=1.6 L1600\\ \\text{mL} = 1.6\\ \\text{L}<\/p>\n\n\n\n Understanding this relationship is vital in pharmacy and chemistry, where accurate measurement of liquids based on their mass and density ensures proper formulation and dosing. This calculation is a common example of dimensional analysis<\/strong> used in real-world scientific applications.<\/p>\n","protected":false},"excerpt":{"rendered":" A pharmacist weighs out 2 kg of glycerin ( density 1.25 g \/ ml ) . Calculate for the volume of glycerin? The correct answer and explanation is: To calculate the volume of glycerin from its mass and density, we use the formula: Volume=MassDensity\\text{Volume} = \\frac{\\text{Mass}}{\\text{Density}} \ud83d\udd22 Step-by-step Solution: Given: Now plug into the formula: […]<\/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-28486","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28486","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=28486"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28486\/revisions"}],"predecessor-version":[{"id":28487,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/28486\/revisions\/28487"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=28486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=28486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=28486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n\ud83d\udd22 Step-by-step Solution:<\/h3>\n\n\n\n
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\n\n\n\n\u2705 Final Answer:<\/h3>\n\n\n\n
or
1.6 Liters<\/strong> (since 1000 mL = 1 Liter)<\/p>\n\n\n\n
\n\n\n\n\ud83d\udcd8 300-Word Explanation:<\/h3>\n\n\n\n