{"id":269249,"date":"2025-07-24T15:34:13","date_gmt":"2025-07-24T15:34:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=269249"},"modified":"2025-07-24T15:34:15","modified_gmt":"2025-07-24T15:34:15","slug":"rearrange-the-following-equation-to-solve-for-c-q-mcdeltat-c-q-mdeltat-qm-deltat-deltat-qm-mdeltat-q","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/24\/rearrange-the-following-equation-to-solve-for-c-q-mcdeltat-c-q-mdeltat-qm-deltat-deltat-qm-mdeltat-q\/","title":{"rendered":"Rearrange the following equation to solve for \\”c\\”, q = m(c)(\\DeltaT) c=? q\/(m\\DeltaT) (qm)\/\\DeltaT (\\DeltaT)\/(qm) (m\\DeltaT)\/q"},"content":{"rendered":"\n

Rearrange the following equation to solve for \\”c\\”, q = m(c)(\\DeltaT) c=? q\/(m\\DeltaT) (qm)\/\\DeltaT (\\DeltaT)\/(q<\/em>m) (m\\DeltaT)\/q<\/p>\n\n\n\n

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

To solve for ccc in the equation:q=m\u22c5c\u22c5(\u0394T)q = m \\cdot c \\cdot (\\Delta T)q=m\u22c5c\u22c5(\u0394T)<\/p>\n\n\n\n

Follow these steps:<\/p>\n\n\n\n

    \n
  1. Start with the given equation<\/strong>: q=m\u22c5c\u22c5(\u0394T)q = m \\cdot c \\cdot (\\Delta T)q=m\u22c5c\u22c5(\u0394T)<\/li>\n\n\n\n
  2. Isolate ccc<\/strong>:
    To solve for ccc, you need to get ccc by itself on one side of the equation. Currently, ccc is multiplied by both mmm and \u0394T\\Delta T\u0394T. To isolate ccc, divide both sides of the equation by m\u22c5\u0394Tm \\cdot \\Delta Tm\u22c5\u0394T: qm\u22c5\u0394T=c\\frac{q}{m \\cdot \\Delta T} = cm\u22c5\u0394Tq\u200b=c<\/li>\n\n\n\n
  3. Final rearranged equation<\/strong>:
    The rearranged equation is: c=qm\u22c5\u0394Tc = \\frac{q}{m \\cdot \\Delta T}c=m\u22c5\u0394Tq\u200b<\/li>\n<\/ol>\n\n\n\n

    So, the correct answer is c=qm\u22c5\u0394Tc = \\frac{q}{m \\cdot \\Delta T}c=m\u22c5\u0394Tq\u200b.<\/p>\n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    This equation represents a formula used in calorimetry, where:<\/p>\n\n\n\n

      \n
    • qqq is the heat energy absorbed or released (in joules, J),<\/li>\n\n\n\n
    • mmm is the mass of the substance (in grams, g),<\/li>\n\n\n\n
    • \u0394T\\Delta T\u0394T is the change in temperature (in degrees Celsius or Kelvin),<\/li>\n\n\n\n
    • ccc is the specific heat capacity (in J\/g\u00b7\u00b0C or J\/g\u00b7K).<\/li>\n<\/ul>\n\n\n\n

      To isolate ccc, we divide both sides by the product m\u22c5\u0394Tm \\cdot \\Delta Tm\u22c5\u0394T. This allows us to express the specific heat capacity ccc in terms of the heat qqq, the mass mmm, and the temperature change \u0394T\\Delta T\u0394T.<\/p>\n\n\n\n

      This equation is fundamental for determining the heat capacity of a substance when heat is added or removed, and it’s commonly used in thermal studies and calorimetry experiments.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      Rearrange the following equation to solve for \\”c\\”, q = m(c)(\\DeltaT) c=? q\/(m\\DeltaT) (qm)\/\\DeltaT (\\DeltaT)\/(qm) (m\\DeltaT)\/q The Correct Answer and Explanation is: To solve for ccc in the equation:q=m\u22c5c\u22c5(\u0394T)q = m \\cdot c \\cdot (\\Delta T)q=m\u22c5c\u22c5(\u0394T) Follow these steps: So, the correct answer is c=qm\u22c5\u0394Tc = \\frac{q}{m \\cdot \\Delta T}c=m\u22c5\u0394Tq\u200b. Explanation: This equation represents 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-269249","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269249","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=269249"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/269249\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=269249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=269249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=269249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}