{"id":222405,"date":"2025-05-31T10:09:25","date_gmt":"2025-05-31T10:09:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=222405"},"modified":"2025-05-31T10:09:27","modified_gmt":"2025-05-31T10:09:27","slug":"a-chemist-prepares-a-solution-of-vanadium","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/31\/a-chemist-prepares-a-solution-of-vanadium\/","title":{"rendered":"A chemist prepares a solution of vanadium"},"content":{"rendered":"\n<p>A chemist prepares a solution of vanadium<\/p>\n\n\n\n<p>III bromide \u00c3\u201a\u00c2 VBr3 \u00c3\u201a\u00c2 by measuring out 0.75g of VBr3 into a 250.mL volumetric flask and filling to the mark with distilled water.<br>\u00c3\u201a\u00c2<\/p>\n\n\n\n<p>Calculate the molarity of<\/p>\n\n\n\n<p>Br\u00c3\u00a2\u00cb\u2020\u00e2\u20ac\u2122 anions in the chemist&#8217;s solution.<br>\u00c3\u201a\u00c2<\/p>\n\n\n\n<p>Be sure your answer is rounded to the correct number of significant digits.<br>molL<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong>To calculate the <strong>molarity of Br\u207b anions<\/strong> in the chemist&#8217;s solution, we follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Determine the molar mass of VBr\u2083<\/strong><\/h3>\n\n\n\n<p>Vanadium (V): 50.94 g\/mol<br>Bromine (Br): 79.90 g\/mol \u00d7 3 = 239.70 g\/mol<br><strong>Total molar mass of VBr\u2083 = 50.94 + 239.70 = 290.64 g\/mol<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Calculate the moles of VBr\u2083 used<\/strong><\/h3>\n\n\n\n<p>Given mass of VBr\u2083 = 0.75 g<br>Moles of VBr\u2083 = 0.75&nbsp;g290.64&nbsp;g\/mol=0.00258&nbsp;mol\\frac{0.75\\ \\text{g}}{290.64\\ \\text{g\/mol}} = 0.00258\\ \\text{mol}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Determine the moles of Br\u207b anions<\/strong><\/h3>\n\n\n\n<p>Each formula unit of VBr\u2083 contains <strong>3 Br\u207b ions<\/strong>, so: Moles&nbsp;of&nbsp;Br\u207b=0.00258&nbsp;mol&nbsp;VBr\u2083\u00d73=0.00774&nbsp;mol&nbsp;Br\u207b\\text{Moles of Br\u207b} = 0.00258\\ \\text{mol VBr\u2083} \u00d7 3 = 0.00774\\ \\text{mol Br\u207b}<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 4: Calculate the molarity of Br\u207b<\/strong><\/h3>\n\n\n\n<p>Volume of solution = 250. mL = 0.250 L Molarity&nbsp;(M)=0.00774&nbsp;mol&nbsp;Br\u207b0.250&nbsp;L=0.03096&nbsp;mol\/L\\text{Molarity (M)} = \\frac{0.00774\\ \\text{mol Br\u207b}}{0.250\\ \\text{L}} = 0.03096\\ \\text{mol\/L}<\/p>\n\n\n\n<p>Rounded to <strong>3 significant digits<\/strong> (since 0.75 g has 3 sig. figs):<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 <strong>Final Answer: 0.03096 mol\/L Br\u207b<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udca1 <strong>Explanation<\/strong><\/h3>\n\n\n\n<p>In this problem, we are asked to find the <strong>molarity of bromide ions (Br\u207b)<\/strong> in a solution made by dissolving a specific mass of <strong>vanadium(III) bromide (VBr\u2083)<\/strong> in water. Molarity refers to the number of moles of a solute per liter of solution, expressed in mol\/L. Since VBr\u2083 is an ionic compound, it dissociates completely in water into vanadium ions and bromide ions. Specifically, each mole of VBr\u2083 releases <strong>three moles of Br\u207b<\/strong> ions because its chemical formula contains three bromine atoms.<\/p>\n\n\n\n<p>The process starts by determining the <strong>molar mass<\/strong> of VBr\u2083, which is the sum of the atomic masses of vanadium and three bromines. After that, we calculate the <strong>moles of VBr\u2083<\/strong> by dividing the mass used (0.75 g) by the molar mass. From there, we multiply by 3 to find the moles of bromide ions, because each VBr\u2083 unit produces 3 Br\u207b.<\/p>\n\n\n\n<p>Finally, the moles of Br\u207b are divided by the total solution volume in liters (250 mL = 0.250 L) to obtain the <strong>molarity of Br\u207b ions<\/strong>. The answer is rounded to three significant digits, matching the precision of the given mass (0.75 g).<\/p>\n\n\n\n<p>This calculation is important in chemistry, particularly in preparing solutions for reactions, titrations, or analytical procedures where knowing ion concentration is essential.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/05\/learnexams-banner4-203.jpeg\" alt=\"\" class=\"wp-image-222406\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A chemist prepares a solution of vanadium III bromide \u00c3\u201a\u00c2 VBr3 \u00c3\u201a\u00c2 by measuring out 0.75g of VBr3 into a 250.mL volumetric flask and filling to the mark with distilled water.\u00c3\u201a\u00c2 Calculate the molarity of Br\u00c3\u00a2\u00cb\u2020\u00e2\u20ac\u2122 anions in the chemist&#8217;s solution.\u00c3\u201a\u00c2 Be sure your answer is rounded to the correct number of significant digits.molL The 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