{"id":2393,"date":"2025-05-12T18:15:54","date_gmt":"2025-05-12T12:45:54","guid":{"rendered":"https:\/\/leverageedu.com\/questions-answers\/?p=2393"},"modified":"2025-05-12T18:15:57","modified_gmt":"2025-05-12T12:45:57","slug":"for-a-dilute-solution-mole-fraction-of-solute-is-class-11-chemistry-cbse","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/questions-answers\/for-a-dilute-solution-mole-fraction-of-solute-is-class-11-chemistry-cbse\/","title":{"rendered":"For a dilute solution, mole fraction of solute is given as (n= no. of moles of solute) and (N= number of moles of solvent)"},"content":{"rendered":"\n<p><strong>Answer: <\/strong>The correct answer is (C) n\/N. Because in a very dilute solution, the number of moles of the solvent (N) is significantly larger than the number of moles of the solute (n). Therefore, the total number of moles in the solution (n+N) is approximately equal to N. The mole fraction of the solute is defined as the ratio of the number of moles of the solute to the total number of moles in the solution. Thus, for a dilute solution, the mole fraction of the solute is approximately n\/N.<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>Complete Answer:<\/strong><\/p>\n\n\n\n<p>The mole fraction of a component in a solution is defined as the ratio of the number of moles of that component to the total number of moles of all components in the solution.\u00a0\u00a0\u00a0<\/p>\n\n\n\n<p>Let:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n = number of moles of solute<\/li>\n\n\n\n<li>N = number of moles of solvent<\/li>\n<\/ul>\n\n\n\n<p>The total number of moles in the solution is n+N.<\/p>\n\n\n\n<p>Therefore, the mole fraction of the solute (x<em><sub>solute<\/sub><\/em><em>\u200b<\/em>) is given by:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>X<\/strong><strong><em><sub>solute<\/sub><\/em><\/strong><strong><em>\u200b\u00a0 = <\/em><\/strong><strong>(number of moles of solute\u200b) \/ (total number of moles)<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>= (n)\/(n+N)<\/strong><\/p>\n\n\n\n<p>Now, let\u2019s consider a dilute solution. A dilute solution is one in which the amount of solute is very small compared to the amount of solvent. Mathematically, this means that n<<N (the number of moles of solute is much less than the number of moles of solvent).<\/p>\n\n\n\n<p>In such a case, when we look at the denominator (n+N), since n is negligibly small compared to N, we can approximate the denominator as:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>n+N \u2248 N<\/strong><\/p>\n\n\n\n<p>Therefore, for a dilute solution, the mole fraction of the solute can be approximated as:<\/p>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size\"><strong>X<\/strong><strong><em><sub>solute<\/sub><\/em><\/strong><strong><em>\u200b <\/em><\/strong><strong>\u2248 n\/N<\/strong><\/p>\n\n\n\n<p>This simplified expression is Option (C), which is used commonly in dilute solutions.<\/p>\n\n\n\n<p>Now let\u2019s examine why the other options are incorrect:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>(A) N\/n:<\/strong> This represents the ratio of the number of moles of solvent to the number of moles of solute. This is the inverse of a quantity related to concentration, but it is not the mole fraction of the solute. In a dilute solution, N is much larger than n, so this ratio would be a very large number, not a fraction between 0 and 1, which is characteristic of mole fractions.<br><\/li>\n\n\n\n<li><strong>(B) (N)\/(n+N):<\/strong> This represents the mole fraction of the solvent, not the solute. The mole fraction of the solvent is the number of moles of the solvent divided by the total number of moles in the solution. In a dilute solution, this value would be very close to 1.<br><\/li>\n\n\n\n<li><strong>(D) Both B and C:<\/strong> As explained above, option B represents the mole fraction of the solvent, and option C represents the approximate mole fraction of the solute in a dilute solution. Therefore, both cannot be the correct answer for the mole fraction of the solute.<\/li>\n<\/ul>\n\n\n\n<p>In summary, for a dilute solution where the number of moles of solute (n) is significantly less than the number of moles of solvent (N), the mole fraction of the solute is approximately given by n\/N.<\/p>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color has-medium-font-size wp-elements-701942d4c5c16a95d15e5b3c238c5b18\"><strong>Common Chemistry Doubts:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/why-is-calcium-sulphate-hemihydrate-called-plaster-of-paris\/\"><strong>Why is Calcium Sulphate Hemihydrate called Plaster of Paris?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-is-the-formula-mass-of-the-iodine-molecule\/\"><strong>What is the Formula Mass of the Iodine Molecule?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/write-down-the-name-of-the-functional-group-of-cho\/\"><strong>Write Down the Name of the Functional Group of \u2013CHO<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-do-you-mean-by-a-precipitation-reaction-explain-by-giving-examples\/\"><strong>What Do You Mean by a Precipitation Reaction?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-do-you-mean-by-polar-protic-and-polar-aprotic-solvents\/\"><strong>What Do You Mean by Polar Protic and Polar Aprotic Solvents?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/why-is-ice-at-273k-more-effective-in-cooling-than-water-at-the-same-temperature-class-11-chemistry-cbse\/\"><strong>Why is ice at 273K more effective in cooling than water at the same temperature?<\/strong><\/a><\/td><\/tr><tr><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-is-threshold-energy\/\"><strong>What is threshold energy?<\/strong><\/a><\/td><td><a href=\"https:\/\/leverageedu.com\/questions-answers\/what-are-the-bond-angles-of-a-molecule-with-trigonal-bipyramidal-geometry\/\"><strong>What are the bond angles of a molecule with trigonal bipyramidal geometry?<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"Answer: The correct answer is (C) n\/N. Because in a very dilute solution, the number of moles of&hellip;\n","protected":false},"author":115,"featured_media":2399,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[10,4],"tags":[],"class_list":{"0":"post-2393","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-chemistry","8":"category-science"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>For a dilute solution, mole fraction of solute is given as (n= no. of moles of solute) and (N= number of moles of solvent)<\/title>\n<meta name=\"description\" content=\"For a dilute solution, mole fraction of solute is given as (n= no. of moles of solute) and (N= number of moles of solvent).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/leverageedu.com\/questions-answers\/for-a-dilute-solution-mole-fraction-of-solute-is-class-11-chemistry-cbse\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"For a dilute solution, mole fraction of solute is given as (n= no. of moles of solute) and (N= number of moles of solvent)\" \/>\n<meta property=\"og:description\" content=\"For a dilute solution, mole fraction of solute is given as (n= no. of moles of solute) and (N= number of moles of solvent).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/leverageedu.com\/questions-answers\/for-a-dilute-solution-mole-fraction-of-solute-is-class-11-chemistry-cbse\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions &amp; 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