{"id":31456,"date":"2025-06-22T02:38:41","date_gmt":"2025-06-22T02:38:41","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=31456"},"modified":"2025-06-22T02:38:44","modified_gmt":"2025-06-22T02:38:44","slug":"the-ba3po42-molar-mass-602-0-g-mol-precipitate-that-formed-from-a-salt-mixture-has-a-mass-of-0-767-g","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/the-ba3po42-molar-mass-602-0-g-mol-precipitate-that-formed-from-a-salt-mixture-has-a-mass-of-0-767-g\/","title":{"rendered":"The Ba3(PO4)2 (molar mass = 602.0 g\/mol) precipitate that formed from a salt mixture has a mass of 0.767 g"},"content":{"rendered":"\n<p>The Ba3(PO4)2 (molar mass = 602.0 g\/mol) precipitate that formed from a salt mixture has a mass of 0.767 g. If the Na3PO4\u00c2\u00b712H2O (molar mass = 380.2 g\/mol) was the limiting reactant and BaCl2\u00c2\u00b72H2O was the excess reactant in the mixture, what is the mass of Na3FPO4\u00c2\u00b712H2O in the mixture? Select one: a) 0.812 g b) 0.690 g c) 0.716 g d) 0.968 g e) 0.933 g<\/p>\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>To find the <strong>mass of Na\u2083PO\u2084\u00b712H\u2082O<\/strong> (sodium phosphate dodecahydrate) in the mixture, we use stoichiometry based on the information provided:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Given:<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mass of <strong>Ba\u2083(PO\u2084)\u2082<\/strong> precipitate = 0.767 g<\/li>\n\n\n\n<li>Molar mass of <strong>Ba\u2083(PO\u2084)\u2082<\/strong> = 602.0 g\/mol<\/li>\n\n\n\n<li>Molar mass of <strong>Na\u2083PO\u2084\u00b712H\u2082O<\/strong> = 380.2 g\/mol<\/li>\n\n\n\n<li><strong>Na\u2083PO\u2084\u00b712H\u2082O<\/strong> is the limiting reactant<\/li>\n\n\n\n<li><strong>BaCl\u2082\u00b72H\u2082O<\/strong> is in excess<\/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\"><strong>Step 1: Moles of Ba\u2083(PO\u2084)\u2082 formed<\/strong><\/h3>\n\n\n\n<p>Moles&nbsp;of&nbsp;Ba\u2083(PO\u2084)\u2082=0.767&nbsp;g602.0&nbsp;g\/mol=0.001275&nbsp;mol\\text{Moles of Ba\u2083(PO\u2084)\u2082} = \\frac{0.767\\ \\text{g}}{602.0\\ \\text{g\/mol}} = 0.001275\\ \\text{mol}Moles&nbsp;of&nbsp;Ba\u2083(PO\u2084)\u2082=602.0&nbsp;g\/mol0.767&nbsp;g\u200b=0.001275&nbsp;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 2: Mole Ratio Between Ba\u2083(PO\u2084)\u2082 and Na\u2083PO\u2084<\/strong><\/h3>\n\n\n\n<p>From the balanced chemical equation:3BaCl2+2Na3PO4\u2192Ba3(PO4)2\u2193+6NaCl3BaCl\u2082 + 2Na\u2083PO\u2084 \u2192 Ba\u2083(PO\u2084)\u2082\u2193 + 6NaCl3BaCl2\u200b+2Na3\u200bPO4\u200b\u2192Ba3\u200b(PO4\u200b)2\u200b\u2193+6NaCl<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 moles of Na\u2083PO\u2084 produce 1 mole of Ba\u2083(PO\u2084)\u2082<\/li>\n<\/ul>\n\n\n\n<p>Moles&nbsp;of&nbsp;Na\u2083PO\u2084&nbsp;used=2\u00d70.001275=0.002550&nbsp;mol\\text{Moles of Na\u2083PO\u2084 used} = 2 \u00d7 0.001275 = 0.002550\\ \\text{mol}Moles&nbsp;of&nbsp;Na\u2083PO\u2084&nbsp;used=2\u00d70.001275=0.002550&nbsp;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: Mass of Na\u2083PO\u2084\u00b712H\u2082O in the mixture<\/strong><\/h3>\n\n\n\n<p>Mass=0.002550&nbsp;mol\u00d7380.2&nbsp;g\/mol=0.9695&nbsp;g\\text{Mass} = 0.002550\\ \\text{mol} \u00d7 380.2\\ \\text{g\/mol} = 0.9695\\ \\text{g}Mass=0.002550&nbsp;mol\u00d7380.2&nbsp;g\/mol=0.9695&nbsp;g<\/p>\n\n\n\n<p>Rounded to three significant figures:0.968&nbsp;g\\boxed{0.968\\ \\text{g}}0.968&nbsp;g\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Correct Answer: d) 0.968 g<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation <\/strong><\/h3>\n\n\n\n<p>This problem involves using stoichiometry to determine the mass of a reactant based on the amount of precipitate formed. We are told that barium phosphate, Ba\u2083(PO\u2084)\u2082, precipitates from a reaction between barium chloride and sodium phosphate. We also know the mass of the precipitate formed and that sodium phosphate is the limiting reactant, meaning it determines the amount of product made.<\/p>\n\n\n\n<p>To begin, we convert the given mass of barium phosphate to moles using its molar mass. This gives us the amount of product in moles. According to the balanced equation, two moles of sodium phosphate react to form one mole of barium phosphate. So, we multiply the moles of Ba\u2083(PO\u2084)\u2082 by 2 to find the moles of sodium phosphate that were used in the reaction.<\/p>\n\n\n\n<p>After calculating the moles of sodium phosphate, we convert it back to mass. Since the sodium phosphate is hydrated (with 12 water molecules), we use the molar mass of Na\u2083PO\u2084\u00b712H\u2082O in our calculation. Multiplying the moles by this molar mass gives the total mass of sodium phosphate that reacted, which is also the amount that was present in the mixture because it was the limiting reactant.<\/p>\n\n\n\n<p>This process demonstrates how stoichiometry helps relate the mass of reactants and products using mole ratios and molar masses. The final answer, based on careful calculations and proper rounding, is 0.968 grams of sodium phosphate dodecahydrate, corresponding to option <strong>(d)<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-341.jpeg\" alt=\"\" class=\"wp-image-31457\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-341.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-341-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-341-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Ba3(PO4)2 (molar mass = 602.0 g\/mol) precipitate that formed from a salt mixture has a mass of 0.767 g. If the Na3PO4\u00c2\u00b712H2O (molar mass = 380.2 g\/mol) was the limiting reactant and BaCl2\u00c2\u00b72H2O was the excess reactant in the mixture, what is the mass of Na3FPO4\u00c2\u00b712H2O in the mixture? Select one: a) 0.812 g [&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-31456","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31456","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=31456"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31456\/revisions"}],"predecessor-version":[{"id":31458,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31456\/revisions\/31458"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31456"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31456"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31456"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}