{"id":319,"date":"2024-04-02T07:17:23","date_gmt":"2024-04-02T06:17:23","guid":{"rendered":"https:\/\/tutors4you.com\/?page_id=319"},"modified":"2024-04-02T07:17:23","modified_gmt":"2024-04-02T06:17:23","slug":"first-law-of-thermodynamics","status":"publish","type":"page","link":"https:\/\/tutors4you.com\/index.php\/first-law-of-thermodynamics\/","title":{"rendered":"First Law of Thermodynamics"},"content":{"rendered":"\n<div class=\"well well-sm\">\n\t\t\t\n\t\t\t <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Let us consider one of the most fundamental\n        principles of the physical world &#8211; The Law of\n        Conservation of Energy &#8211; It states that <\/font><font\n        color=\"#FF0000\" size=\"4\" face=\"Arial\">energy cannot be\n        created or destroyed.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Now, let us apply this law to various\n        processes in chemistry. It can be written as <\/font><\/p>\n        <p align=\"center\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\"><img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\" height=\"16\">U\n        = Q + W<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Where <img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\"\n        height=\"16\">U is the change in internal energy<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n        Q is heat<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;\n        W is work<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">According to this, there are two kinds of\n        processes that can lead to a change in the internal\n        energy of the system &#8211; they are heat and work.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Let us consider the sign convention:<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(i)&nbsp;&nbsp;&nbsp; Heat flowing into the\n        system is positive. It increases the internal energy of\n        the system.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(ii)&nbsp;&nbsp; Heat flowing out of the\n        system is negative. It decreases the internal energy of\n        the system.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(iii)&nbsp; Work done by the system is\n        positive. It decreases the internal energy of the system.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Note that: U is a state function. From a\n        given value of ?U, one cannot make out whether this\n        change has come about by adding heat to it or by doing\n        work on it.<\/font><\/p>\n        <p align=\"left\"><font color=\"#FF0000\" size=\"4\"\n        face=\"Arial\">System work:&nbsp; <\/font><font\n        color=\"#000080\" size=\"4\" face=\"Arial\">When we talk about\n        work done by a thermodynamic system, we are usually\n        talking about the work done by a gas in expanding.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(i)&nbsp;&nbsp;&nbsp; Work done at constant\n        pressure<\/font><\/p>\n        <p align=\"center\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">W = P<img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\"\n        height=\"16\">V<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">It is given by the area under the PV graph<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(ii)&nbsp;&nbsp;&nbsp; Work done when the\n        pressure is changing<\/font><\/p>\n        <p align=\"center\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">W = <img loading=\"lazy\" decoding=\"async\" src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\"\n        height=\"16\">PdV<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">Note: That work and heat are not state\n        functions. They do depend on the path followed between\n        the initial and final states.<\/font><\/p>\n        <p align=\"left\"><font color=\"#008000\" size=\"4\"\n        face=\"Arial\">Example<\/font><\/p>\n        <p align=\"left\"><font color=\"#008000\" size=\"4\"\n        face=\"Arial\">Calculate the internal energy change in each\n        of the following cases:<\/font><\/p>\n        <p align=\"left\"><font color=\"#008000\" size=\"4\"\n        face=\"Arial\">(i)&nbsp;&nbsp;&nbsp; A system absorbs 5kJ\n        of heat and does 1kJ of work.<\/font><\/p>\n        <p align=\"left\"><font color=\"#008000\" size=\"4\"\n        face=\"Arial\">(ii)&nbsp;&nbsp; 5kJ of work is done on the\n        system and 1kJ of heat is given out by the system.<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(i)&nbsp;&nbsp;&nbsp; Q = +5kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; W =\n        -1kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <img loading=\"lazy\" decoding=\"async\"\n        src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\" height=\"16\">U = Q + W = 5 +\n        (-1) = 4kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">(ii)&nbsp;&nbsp; W = +5kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Q =\n        -1kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <img loading=\"lazy\" decoding=\"async\"\n        src=\"\/wp-content\/uploads\/2024\/03\/delta.jpg\" width=\"14\" height=\"16\">U = Q + W = -1 + 5\n        = 4kJ<\/font><\/p>\n        <p align=\"left\"><font color=\"#000080\" size=\"4\"\n        face=\"Arial\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; In both\n        the cases, the interval energy of the system increases.<\/font><\/p>\n        <p align=\"left\"><font color=\"#FF0000\" face=\"Arial\"><b>&nbsp;&nbsp;&nbsp;<\/b><\/font><\/p>\n       \t\t\n               \n\t\t<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Let us consider one of the most fundamental principles of the physical world &#8211; The Law of Conservation of Energy &#8211; It states that energy cannot be created or destroyed. Now, let us apply this law to various processes in chemistry. It can be written as U = Q + W Where U is the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-319","page","type-page","status-publish","hentry"],"blocksy_meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>First Law of Thermodynamics - Tutors 4 You<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/tutors4you.com\/index.php\/first-law-of-thermodynamics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"First Law of Thermodynamics - Tutors 4 You\" \/>\n<meta property=\"og:description\" content=\"Let us consider one of the most fundamental principles of the physical world &#8211; The Law of Conservation of Energy &#8211; It states that energy cannot be created or destroyed. 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