How many Btu’s must be removed from one pound of water at 200\u00b0F for it to end up as ice at 30\u00b0F? <\/p>\n\n\n\n
a. 144 Btu <\/p>\n\n\n\n
b. 828 Btu <\/p>\n\n\n\n
c. 313 Btu <\/p>\n\n\n\n
d. 526 Btu<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n Correct Answer: c. 313 Btu<\/mark><\/strong><\/p>\n\n\n\n To determine how many Btu’s must be removed from one pound of water at 200\u00b0F for it to become ice at 30\u00b0F, we need to account for the following steps:<\/p>\n\n\n\n The specific heat of liquid water is 1 Btu per pound per \u00b0F. To find the heat required to cool the water, we use the formula:<\/p>\n\n\n\n [ where:<\/p>\n\n\n\n [ The latent heat of fusion for water is approximately 144 Btu per pound. This is the amount of heat that must be removed for water to freeze.<\/p>\n\n\n\n [ The specific heat of ice is 0.5 Btu per pound per \u00b0F. The temperature change here is 2\u00b0F (32\u00b0F – 30\u00b0F). The heat removed is:<\/p>\n\n\n\n [ Now, we sum the heat removed in each step: How many Btu’s must be removed from one pound of water at 200\u00b0F for it to end up as ice at 30\u00b0F? a. 144 Btu b. 828 Btu c. 313 Btu d. 526 Btu The Correct Answer and Explanation is: Correct Answer: c. 313 Btu To determine how many Btu’s must be removed from one […]<\/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-167673","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167673","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=167673"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167673\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}\n
Step 1: Cooling water from 200\u00b0F to 32\u00b0F<\/h3>\n\n\n\n
Q = mc\\Delta T
]<\/p>\n\n\n\n\n
Q = 1 \\times 1 \\times 168 = 168 \\text{ Btu}
]<\/p>\n\n\n\nStep 2: Freezing the water at 32\u00b0F<\/h3>\n\n\n\n
Q = 144 \\text{ Btu}
]<\/p>\n\n\n\nStep 3: Cooling the ice from 32\u00b0F to 30\u00b0F<\/h3>\n\n\n\n
Q = 1 \\times 0.5 \\times 2 = 1 \\text{ Btu}
]<\/p>\n\n\n\nTotal Heat Removed<\/h3>\n\n\n\n
[
Q_{\\text{total}} = 168 \\text{ Btu (cooling water)} + 144 \\text{ Btu (freezing)} + 1 \\text{ Btu (cooling ice)} = 313 \\text{ Btu}
]<\/p>\n","protected":false},"excerpt":{"rendered":"