{"id":87172,"date":"2025-06-01T04:30:37","date_gmt":"2025-06-01T04:30:37","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87172"},"modified":"2025-06-01T04:30:37","modified_gmt":"2025-06-01T04:30:37","slug":"100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/","title":{"rendered":"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu"},"content":{"rendered":"<p>100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixture finally comes to equilibrium at 0\u00b0C with m grams of ice melted in the process. Value of m is close to : (latent heat of ice = 3.33 \u00d7 10<sup>5<\/sup> J\/kg and specific heat of water = 4.2 J g<sup>-1<\/sup>\u00b0C)<\/p>\n<p>[amp_mcq option1=&#8221;0 g&#8221; option2=&#8221;10 g&#8221; option3=&#8221;5 g&#8221; option4=&#8221;15 g&#8221; correct=&#8221;option4&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC Geoscientist &#8211; 2024<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-geoscientist-2024.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-geoscientist-2024\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nWhen the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nThe heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C &#8211; 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nSetting the heat lost by water equal to the heat gained by the melting ice: 5040 J = m (g) * 333 J\/g. m = 5040 \/ 333 g \u2248 15.135 g. The value of m is closest to 15 g among the given options.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixture finally comes to equilibrium at 0\u00b0C with m grams of ice melted in the process. Value of m is close to : (latent heat of ice = 3.33 \u00d7 105 J\/kg and specific heat of water = 4.2 &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/#more-87172\">Detailed Solution<span class=\"screen-reader-text\">100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1091],"tags":[1103,1130,1128],"class_list":["post-87172","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1103","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu<\/title>\n<meta name=\"description\" content=\"When the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C. The heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C - 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu\" \/>\n<meta property=\"og:description\" content=\"When the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C. The heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C - 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T04:30:37+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu","description":"When the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C. The heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C - 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/","og_locale":"en_US","og_type":"article","og_title":"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu","og_description":"When the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C. The heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C - 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T04:30:37+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/","url":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/","name":"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T04:30:37+00:00","dateModified":"2025-06-01T04:30:37+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"When the ice at 0\u00b0C is put into water at 5\u00b0C, the water will lose heat as it cools down to 0\u00b0C. This heat is then used to melt the ice at 0\u00b0C. The heat lost by the water is Q_water = m_water * c_water * \u0394T_water. Given m_water = 240 g, c_water = 4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9, and \u0394T_water = 5\u00b0C - 0\u00b0C = 5\u00b0C. Q_water = (240 g) * (4.2 J g\u207b\u00b9\u00b0C\u207b\u00b9) * (5\u00b0C) = 5040 J. This heat melts a mass m of ice. The heat required to melt ice is Q_melt = m * L_f. Given L_f = 3.33 \u00d7 10\u2075 J\/kg = 3.33 \u00d7 10\u2075 J \/ 1000 g = 333 J\/g.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/100-grams-of-ice-at-0c-is-put-in-240-grams-of-water-at-5c-the-mixtu\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC Geoscientist","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-geoscientist\/"},{"@type":"ListItem","position":3,"name":"100 grams of ice at 0\u00b0C is put in 240 grams of water at 5\u00b0C. The mixtu"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87172","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=87172"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87172\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87172"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87172"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87172"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}