{"id":258916,"date":"2025-07-18T15:01:39","date_gmt":"2025-07-18T15:01:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=258916"},"modified":"2025-07-18T15:01:41","modified_gmt":"2025-07-18T15:01:41","slug":"convert-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/18\/convert-3\/","title":{"rendered":"Convert"},"content":{"rendered":"\n

Convert: a. 10 ft lbf\/lbm to J\/kg b. 500 \u00b0R to K c. 1.987 Btu\/lb mol \u00b0R to cal\/g mol K d. 100 BTU\/h ft\u00b2 \u00b0F to kW\/m\u00b2 \u00b0C e. 0.002 Kg\/(m s) to lbm\/(ft s)<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Here\u2019s how we can convert each of these units step by step:<\/p>\n\n\n\n

a) Convert 10 ft\u00b7lbf\/lbm to J\/kg<\/strong><\/h3>\n\n\n\n

The conversion factor between foot-pounds and joules is:<\/p>\n\n\n\n

    \n
  • 1\u2009ft\\cdotplbf=1.35582\u2009J1 \\, \\text{ft\u00b7lbf} = 1.35582 \\, \\text{J}1ft\\cdotplbf=1.35582J<\/li>\n<\/ul>\n\n\n\n

    And for pounds mass to kilograms:<\/p>\n\n\n\n

      \n
    • 1\u2009lbm=0.453592\u2009kg1 \\, \\text{lbm} = 0.453592 \\, \\text{kg}1lbm=0.453592kg<\/li>\n<\/ul>\n\n\n\n

      Now, the conversion: 10\u2009ft\\cdotplbf\/lbm=10\u2009ft\\cdotplbf1\u2009lbm\u00d71.35582\u2009J1\u2009ft\\cdotplbf\u00d71\u2009lbm0.453592\u2009kg10 \\, \\text{ft\u00b7lbf\/lbm} = \\frac{10 \\, \\text{ft\u00b7lbf}}{1 \\, \\text{lbm}} \\times \\frac{1.35582 \\, \\text{J}}{1 \\, \\text{ft\u00b7lbf}} \\times \\frac{1 \\, \\text{lbm}}{0.453592 \\, \\text{kg}}10ft\\cdotplbf\/lbm=1lbm10ft\\cdotplbf\u200b\u00d71ft\\cdotplbf1.35582J\u200b\u00d70.453592kg1lbm\u200b =10\u00d71.355820.453592=29.9\u2009J\/kg= \\frac{10 \\times 1.35582}{0.453592} = 29.9 \\, \\text{J\/kg}=0.45359210\u00d71.35582\u200b=29.9J\/kg<\/p>\n\n\n\n

      b) Convert 500 \u00b0R to K<\/strong><\/h3>\n\n\n\n

      The conversion formula between Rankine (\u00b0R) and Kelvin (K) is: K=59\u00d7(\u00b0R\u2212459.67)K = \\frac{5}{9} \\times \\left(\u00b0R – 459.67 \\right)K=95\u200b\u00d7(\u00b0R\u2212459.67)<\/p>\n\n\n\n

      Now for the conversion: 500\u2009\u00b0R=59\u00d7(500\u2212459.67)=59\u00d740.33=22.4\u2009K500 \\, \\text{\u00b0R} = \\frac{5}{9} \\times (500 – 459.67) = \\frac{5}{9} \\times 40.33 = 22.4 \\, \\text{K}500\u00b0R=95\u200b\u00d7(500\u2212459.67)=95\u200b\u00d740.33=22.4K<\/p>\n\n\n\n

      c) Convert 1.987 Btu\/lb\u00b7mol\u00b7\u00b0R to cal\/g\u00b7mol\u00b7K<\/strong><\/h3>\n\n\n\n

      We need to know the conversion factors:<\/p>\n\n\n\n

        \n
      • 1\u2009Btu=252.164\u2009cal1 \\, \\text{Btu} = 252.164 \\, \\text{cal}1Btu=252.164cal<\/li>\n\n\n\n
      • 1\u2009lb\\cdotpmol=453.592\u2009g\\cdotpmol1 \\, \\text{lb\u00b7mol} = 453.592 \\, \\text{g\u00b7mol}1lb\\cdotpmol=453.592g\\cdotpmol<\/li>\n\n\n\n
      • 1\u2009\u00b0R=1\u2009\u00b0F=5\/9\u2009K1 \\, \\text{\u00b0R} = 1 \\, \\text{\u00b0F} = 5\/9 \\, \\text{K}1\u00b0R=1\u00b0F=5\/9K<\/li>\n<\/ul>\n\n\n\n

        So: 1.987\u2009Btu\/lb\\cdotpmol\\cdotp\u00b0R=1.987\u00d7252.164453.592\u2009cal\/g\\cdotpmol\\cdotpK1.987 \\, \\text{Btu\/lb\u00b7mol\u00b7\u00b0R} = 1.987 \\times \\frac{252.164}{453.592} \\, \\text{cal\/g\u00b7mol\u00b7K}1.987Btu\/lb\\cdotpmol\\cdotp\u00b0R=1.987\u00d7453.592252.164\u200bcal\/g\\cdotpmol\\cdotpK =1.987\u00d70.556=1.1\u2009cal\/g\\cdotpmol\\cdotpK= 1.987 \\times 0.556 = 1.1 \\, \\text{cal\/g\u00b7mol\u00b7K}=1.987\u00d70.556=1.1cal\/g\\cdotpmol\\cdotpK<\/p>\n\n\n\n

        d) Convert 100 BTU\/h\u00b7ft\u00b2\u00b7\u00b0F to kW\/m\u00b2\u00b7\u00b0C<\/strong><\/h3>\n\n\n\n

        We use the following conversion factors:<\/p>\n\n\n\n

          \n
        • 1\u2009BTU\/h=0.293071\u2009W1 \\, \\text{BTU\/h} = 0.293071 \\, \\text{W}1BTU\/h=0.293071W<\/li>\n\n\n\n
        • 1\u2009ft\u00b2=0.092903\u2009m\u00b21 \\, \\text{ft\u00b2} = 0.092903 \\, \\text{m\u00b2}1ft\u00b2=0.092903m\u00b2<\/li>\n\n\n\n
        • 1\u2009\u00b0F=5\/9\u2009\u00b0C1 \\, \\text{\u00b0F} = 5\/9 \\, \\text{\u00b0C}1\u00b0F=5\/9\u00b0C<\/li>\n<\/ul>\n\n\n\n

          So: 100\u2009BTU\/h\\cdotpft\u00b2\\cdotp\u00b0F=100\u00d70.293071\u00d710.092903\u00d795\u2009kW\/m\u00b2\\cdotp\u00b0C100 \\, \\text{BTU\/h\u00b7ft\u00b2\u00b7\u00b0F} = 100 \\times 0.293071 \\times \\frac{1}{0.092903} \\times \\frac{9}{5} \\, \\text{kW\/m\u00b2\u00b7\u00b0C}100BTU\/h\\cdotpft\u00b2\\cdotp\u00b0F=100\u00d70.293071\u00d70.0929031\u200b\u00d759\u200bkW\/m\u00b2\\cdotp\u00b0C =100\u00d70.293071\u00d710.764\u00d71.8=565.5\u2009kW\/m\u00b2\\cdotp\u00b0C= 100 \\times 0.293071 \\times 10.764 \\times 1.8 = 565.5 \\, \\text{kW\/m\u00b2\u00b7\u00b0C}=100\u00d70.293071\u00d710.764\u00d71.8=565.5kW\/m\u00b2\\cdotp\u00b0C<\/p>\n\n\n\n

          e) Convert 0.002 kg\/(m\u00b7s) to lbm\/(ft\u00b7s)<\/strong><\/h3>\n\n\n\n

          We need to use the following conversion factors:<\/p>\n\n\n\n

            \n
          • 1\u2009kg=2.20462\u2009lbm1 \\, \\text{kg} = 2.20462 \\, \\text{lbm}1kg=2.20462lbm<\/li>\n\n\n\n
          • 1\u2009m=3.28084\u2009ft1 \\, \\text{m} = 3.28084 \\, \\text{ft}1m=3.28084ft<\/li>\n<\/ul>\n\n\n\n

            Now for the conversion: 0.002\u2009kg\/(m\\cdotps)=0.002\u00d72.204623.28084\u2009lbm\/(ft\\cdotps)0.002 \\, \\text{kg\/(m\u00b7s)} = 0.002 \\times \\frac{2.20462}{3.28084} \\, \\text{lbm\/(ft\u00b7s)}0.002kg\/(m\\cdotps)=0.002\u00d73.280842.20462\u200blbm\/(ft\\cdotps) =0.002\u00d70.671=0.00134\u2009lbm\/(ft\\cdotps)= 0.002 \\times 0.671 = 0.00134 \\, \\text{lbm\/(ft\u00b7s)}=0.002\u00d70.671=0.00134lbm\/(ft\\cdotps)<\/p>\n\n\n\n

            Summary:<\/h3>\n\n\n\n
              \n
            • a) 10 ft\u00b7lbf\/lbm = 29.9 J\/kg<\/strong><\/li>\n\n\n\n
            • b) 500 \u00b0R = 22.4 K<\/strong><\/li>\n\n\n\n
            • c) 1.987 Btu\/lb\u00b7mol\u00b7\u00b0R = 1.1 cal\/g\u00b7mol\u00b7K<\/strong><\/li>\n\n\n\n
            • d) 100 BTU\/h\u00b7ft\u00b2\u00b7\u00b0F = 565.5 kW\/m\u00b2\u00b7\u00b0C<\/strong><\/li>\n\n\n\n
            • e) 0.002 kg\/(m\u00b7s) = 0.00134 lbm\/(ft\u00b7s)<\/strong><\/li>\n<\/ul>\n\n\n\n
              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              Convert: a. 10 ft lbf\/lbm to J\/kg b. 500 \u00b0R to K c. 1.987 Btu\/lb mol \u00b0R to cal\/g mol K d. 100 BTU\/h ft\u00b2 \u00b0F to kW\/m\u00b2 \u00b0C e. 0.002 Kg\/(m s) to lbm\/(ft s) The Correct Answer and Explanation is: Here\u2019s how we can convert each of these units step by step: a) […]<\/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-258916","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258916","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=258916"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/258916\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=258916"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=258916"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=258916"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}