What [I] is required to just begin precipitation of a BiI3(s) from a solution of 0.62 M Bi3+(aq)? (Suggestion: Write the dissolving equation and Ksp expression for BiI3 before starting this problem.)<\/p>\n\n\n\n
a. 1.3 x 10-18 M
b. 7.9 x 10-7 M
c. 2.2 x 10-6 M
d. 1.1 x 10-6 M
e. 1.1 x 10-9 M<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n To determine the minimum iodide ion concentration ([I^-]) required to begin the precipitation of (\\text{BiI}_3 (s)), we need to analyze the solubility equilibrium of bismuth(III) iodide.<\/p>\n\n\n\n The dissolution of (\\text{BiI}_3) in water is represented by:<\/p>\n\n\n\n [ The solubility product constant ((K_{sp})) expression for this equilibrium is:<\/p>\n\n\n\n [ Given that precipitation begins when the ionic product equals the solubility product ((K_{sp})), we set up the equilibrium condition:<\/p>\n\n\n\n [ From reference data, the solubility product constant for (\\text{BiI}_3) is:<\/p>\n\n\n\n [ Setting up the equation:<\/p>\n\n\n\n [ Solving for ([I^-]):<\/p>\n\n\n\n [ [ [ [ From the given answer choices, the closest match is:<\/p>\n\n\n\n [ Precipitation begins when the ionic product ([\\text{Bi}^{3+}][\\text{I}^-]^3) reaches or exceeds the solubility product (K_{sp}). Since the solution contains (0.62 \\ M) (\\text{Bi}^{3+}), we calculated the minimum iodide concentration required for precipitation. Using the (K_{sp}) value and solving for ([I^-]), we found that the threshold concentration is approximately (1.1 \\times 10^{-6} \\ M), which corresponds to option d<\/strong>.<\/p>\n\n\n\n This means that as soon as the iodide ion concentration reaches this value, (\\text{BiI}_3) will begin to precipitate out of solution. If the iodide concentration is lower, the solution remains unsaturated, and no precipitation occurs.<\/p>\n","protected":false},"excerpt":{"rendered":" What [I] is required to just begin precipitation of a BiI3(s) from a solution of 0.62 M Bi3+(aq)? (Suggestion: Write the dissolving equation and Ksp expression for BiI3 before starting this problem.) a. 1.3 x 10-18 Mb. 7.9 x 10-7 Mc. 2.2 x 10-6 Md. 1.1 x 10-6 Me. 1.1 x 10-9 M The correct […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-203461","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203461","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=203461"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/203461\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=203461"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=203461"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=203461"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Write the Dissociation Equation and (K_{sp}) Expression<\/h3>\n\n\n\n
\\text{BiI}_3 (s) \\rightleftharpoons \\text{Bi}^{3+} (aq) + 3\\text{I}^- (aq)
]<\/p>\n\n\n\n
K_{sp} = [\\text{Bi}^{3+}][\\text{I}^-]^3
]<\/p>\n\n\n\n
K_{sp} = (0.62)[I^-]^3
]<\/p>\n\n\n\nStep 2: Solve for ([I^-])<\/h3>\n\n\n\n
K_{sp} = 8.3 \\times 10^{-19}
]<\/p>\n\n\n\n
8.3 \\times 10^{-19} = (0.62)[I^-]^3
]<\/p>\n\n\n\n
[I^-]^3 = \\frac{8.3 \\times 10^{-19}}{0.62}
]<\/p>\n\n\n\n
[I^-]^3 = 1.34 \\times 10^{-18}
]<\/p>\n\n\n\n
[I^-] = \\sqrt[3]{1.34 \\times 10^{-18}}
]<\/p>\n\n\n\n
[I^-] \\approx 1.1 \\times 10^{-6} \\text{ M}
]<\/p>\n\n\n\nStep 3: Select the Correct Answer<\/h3>\n\n\n\n
\\mathbf{d. \\ 1.1 \\times 10^{-6} \\ M}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n