Convert the temperatures in parts (a) and (b) and temperature intervals in parts (c) and (d):
(a) T = 85?F to ?R, ?C, K
(b) T = \u2013 10?C to K, ?F, ?R
(c) ?T = 85?C to K, ?F, ?R
(d) ?T = 150?R to ?F, ?C, K<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n Let’s start with the conversions:<\/p>\n\n\n\n Temperature intervals can be converted using only the scale factors (no offsets):<\/p>\n<\/blockquote>\n\n\n\n Temperature conversions involve two types: absolute temperatures<\/strong> and temperature intervals<\/strong>. Absolute temperatures represent specific points on a scale, while intervals indicate a difference or change in temperature, not tied to any specific reference point.<\/p>\n\n\n\n For absolute temperatures, the formulas include offsets<\/strong> because the zero points of the scales differ. For example, Celsius and Kelvin differ by 273.15 (0\u00b0C = 273.15 K), and Fahrenheit differs from Celsius by both a scale factor and an offset.<\/p>\n\n\n\n Rankine (\u00b0R) is similar to Kelvin but based on Fahrenheit: 0 \u00b0R = 0 K. Thus, \u00b0R = \u00b0F + 459.67. Kelvin and Rankine use absolute zero as their starting point, making them absolute scales<\/strong>.<\/p>\n\n\n\n When converting temperature intervals<\/strong>, only the scale factor<\/strong> matters. This is because intervals (e.g., \u0394T = 20\u00b0C) don’t depend on where the temperature scale starts \u2014 they just represent the “amount” of change. For example, an 85\u00b0C difference is the same as an 85 K difference, since Celsius and Kelvin have the same unit size.<\/p>\n\n\n\n The scale between \u00b0C and \u00b0F is a factor of 9\/5, so a 1\u00b0C interval equals a 1.8\u00b0F interval. The same applies to \u00b0F and \u00b0R since they both use the same interval size, just shifted to start at absolute zero.<\/p>\n\n\n\n Understanding both absolute and interval conversions is crucial in science and engineering, particularly when dealing with thermodynamics, material behavior, or climate analysis, where precision across scales is essential.<\/p>\n","protected":false},"excerpt":{"rendered":" Convert the temperatures in parts (a) and (b) and temperature intervals in parts (c) and (d):(a) T = 85?F to ?R, ?C, K(b) T = \u2013 10?C to K, ?F, ?R(c) ?T = 85?C to K, ?F, ?R(d) ?T = 150?R to ?F, ?C, K The correct answer and explanation is : Let’s start with […]<\/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-207573","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207573","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=207573"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/207573\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=207573"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=207573"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=207573"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n(a) Convert T = 85\u00b0F to \u00b0R, \u00b0C, K:<\/strong><\/h3>\n\n\n\n
\n
[ T(\u00b0R) = T(\u00b0F) + 459.67 = 85 + 459.67 = \\boxed{544.67\\,\u00b0R} ]<\/li>\n\n\n\n
[ T(\u00b0C) = \\frac{5}{9}(T(\u00b0F) – 32) = \\frac{5}{9}(85 – 32) = \\frac{5}{9}(53) \\approx \\boxed{29.44\\,\u00b0C} ]<\/li>\n\n\n\n
[ T(K) = T(\u00b0C) + 273.15 \\approx 29.44 + 273.15 = \\boxed{302.59\\,K} ]<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n(b) Convert T = \u201310\u00b0C to K, \u00b0F, \u00b0R:<\/strong><\/h3>\n\n\n\n
\n
[ T(K) = T(\u00b0C) + 273.15 = -10 + 273.15 = \\boxed{263.15\\,K} ]<\/li>\n\n\n\n
[ T(\u00b0F) = \\frac{9}{5}(T(\u00b0C)) + 32 = \\frac{9}{5}(-10) + 32 = -18 + 32 = \\boxed{14\\,\u00b0F} ]<\/li>\n\n\n\n
[ T(\u00b0R) = T(\u00b0F) + 459.67 = 14 + 459.67 = \\boxed{473.67\\,\u00b0R} ]<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n(c) Convert \u0394T = 85\u00b0C to K, \u00b0F, \u00b0R:<\/strong><\/h3>\n\n\n\n
\n
\n
[ \\Delta T(K) = \\Delta T(\u00b0C) = \\boxed{85\\,K} ]<\/li>\n\n\n\n
[ \\Delta T(\u00b0F) = \\frac{9}{5} \\times 85 = \\boxed{153\\,\u00b0F} ]<\/li>\n\n\n\n
[ \\Delta T(\u00b0R) = \\Delta T(\u00b0F) = \\boxed{153\\,\u00b0R} ]<\/li>\n<\/ol>\n\n\n\n
\n\n\n\n(d) Convert \u0394T = 150\u00b0R to \u00b0F, \u00b0C, K:<\/strong><\/h3>\n\n\n\n
\n
[ \\Delta T(\u00b0F) = \\Delta T(\u00b0R) = \\boxed{150\\,\u00b0F} ]<\/li>\n\n\n\n
[ \\Delta T(\u00b0C) = \\frac{5}{9} \\times 150 \\approx \\boxed{83.33\\,\u00b0C} ]<\/li>\n\n\n\n
[ \\Delta T(K) = \\Delta T(\u00b0C) = \\boxed{83.33\\,K} ]<\/li>\n<\/ol>\n\n\n\n
\n\n\n\nExplanation (Approx. 300 Words):<\/strong><\/h3>\n\n\n\n