{"id":213815,"date":"2025-05-12T12:05:49","date_gmt":"2025-05-12T12:05:49","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=213815"},"modified":"2025-05-12T12:05:52","modified_gmt":"2025-05-12T12:05:52","slug":"the-density-of-water-at-room-temperature-25-degrees-c-is-0-9970-g-cm-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/05\/12\/the-density-of-water-at-room-temperature-25-degrees-c-is-0-9970-g-cm-3\/","title":{"rendered":"The density of water at room temperature (25 degrees C) is 0.9970 g cm-3"},"content":{"rendered":"\n

The density of water at room temperature (25 degrees C) is 0.9970 g cm-3. How many pounds does the water in a full 5.0 gallon pail weigh?<\/p>\n\n\n\n

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

To find how many pounds<\/strong> the water in a full 5.0-gallon<\/strong> pail weighs at 25\u00b0C<\/strong> (where the density of water is 0.9970 g\/cm\u00b3<\/strong>), we must go through a unit conversion process:<\/p>\n\n\n\n

\n\n\n\n

\u2705 Correct Answer: Approximately 41.6 pounds<\/strong><\/h3>\n\n\n\n
\n\n\n\n

Step-by-Step Explanation (300+ words):<\/h3>\n\n\n\n

This problem involves converting volume to mass and then converting mass from grams to pounds. We’ll break this down into steps:<\/p>\n\n\n\n

\n\n\n\n

1. Convert Gallons to Cubic Centimeters (cm\u00b3)<\/strong><\/h3>\n\n\n\n

We know:<\/p>\n\n\n\n

    \n
  • 1 US gallon = 3.78541 liters<\/strong><\/li>\n\n\n\n
  • 1 liter = 1,000 cm\u00b3<\/strong><\/li>\n<\/ul>\n\n\n\n

    So:<\/p>\n\n\n\n

    $$
    5.0 \\text{ gallons} = 5.0 \\times 3.78541 = 18.92705 \\text{ liters}
    $$<\/p>\n\n\n\n

    $$
    18.92705 \\text{ liters} = 18.92705 \\times 1000 = 18,927.05 \\text{ cm}^3
    $$<\/p>\n\n\n\n

    \n\n\n\n

    2. Use the Density to Calculate Mass in Grams<\/strong><\/h3>\n\n\n\n

    Density of water at 25\u00b0C = 0.9970 g\/cm\u00b3<\/strong><\/p>\n\n\n\n

    $$
    \\text{Mass} = \\text{Volume} \\times \\text{Density}
    $$<\/p>\n\n\n\n

    $$
    \\text{Mass} = 18,927.05 \\text{ cm}^3 \\times 0.9970 \\text{ g\/cm}^3 = 18,869.27 \\text{ grams}
    $$<\/p>\n\n\n\n

    \n\n\n\n

    3. Convert Grams to Pounds<\/strong><\/h3>\n\n\n\n

    We know:<\/p>\n\n\n\n

      \n
    • 1 pound (lb) = 453.59237 grams<\/strong><\/li>\n<\/ul>\n\n\n\n

      $$
      \\text{Mass in pounds} = \\frac{18,869.27}{453.59237} \\approx 41.6 \\text{ pounds}
      $$<\/p>\n\n\n\n

      \n\n\n\n

      \u2714 Summary:<\/h3>\n\n\n\n
        \n
      • You started with 5.0 gallons of water.<\/li>\n\n\n\n
      • Converted gallons to cm\u00b3 to match the units of density.<\/li>\n\n\n\n
      • Used the density to find mass in grams.<\/li>\n\n\n\n
      • Finally, converted grams to pounds.<\/li>\n<\/ul>\n\n\n\n

        This method emphasizes the importance of proper unit conversion in solving real-world science problems. A slight difference in the density (for example, if water were warmer or colder) would have a small effect on the final weight. But at room temperature (25\u00b0C), water is nearly at its maximum density, which helps standardize calculation<\/p>\n","protected":false},"excerpt":{"rendered":"

        The density of water at room temperature (25 degrees C) is 0.9970 g cm-3. How many pounds does the water in a full 5.0 gallon pail weigh? The Correct Answer and Explanation is: To find how many pounds the water in a full 5.0-gallon pail weighs at 25\u00b0C (where the density of water is 0.9970 […]<\/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-213815","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213815","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=213815"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/213815\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=213815"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=213815"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=213815"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}