{"id":16329,"date":"2022-08-05T10:18:20","date_gmt":"2022-08-05T10:18:20","guid":{"rendered":"http:\/\/emswitchgear.com\/?p=16329"},"modified":"2022-08-05T10:56:57","modified_gmt":"2022-08-05T10:56:57","slug":"to-possess-a-look-at-pure-logarithms-make","status":"publish","type":"post","link":"https:\/\/emswitchgear.com\/index.php\/2022\/08\/05\/to-possess-a-look-at-pure-logarithms-make\/","title":{"rendered":"To possess a look at pure logarithms, make reference to Very important Enjoy 6 inside the Section eleven"},"content":{"rendered":"<p><title>To possess a look at pure logarithms, make reference to Very important Enjoy 6 inside the Section eleven<\/title><br \/>\n<hdos>Notice the new Pattern<\/h2>\n<p>Erratic compounds has low boiling circumstances and you can relatively poor intermolecular affairs; nonvolatile ingredients enjoys high boiling factors and apparently strong intermolecular interactions.<\/p>\n<p>The fresh great boost in steam tension that have growing temperature in the Contour &#8220;Brand new Steam Pressures many Liquid as a function of Temperatures&#8221; allows us to explore natural logarithms to share with you this new nonlinear relationships because the a linear one to. 9 &#8220;Important Event 6&#8221;.<\/p>\n<p>ln P = ? ? H vap Roentgen ( step 1 T ) + C Picture to own a straight line : y = m x + b<\/p>\n<p><!--more--><\/p>\n<p>where ln P is the natural logarithm of the vapor pressure, ?H<sub>vap<\/sub> is the enthalpy of vaporization, R is the universal gas constant [8.314 J\/(mol\u00b7K)], T is the temperature in kelvins, and C is the y-intercept, which is a constant for any given line. A plot of ln P versus the inverse of the absolute temperature (1\/T) is a straight line with a slope of ??H<sub>vap<\/sub>\/R. Equation 11.1, called the Clausius\u2013Clapeyron equation A linear relationship that expresses the nonlinear relationship between the vapor pressure of a liquid and temperature: ln P = ? ? H vap \/ R T + C , where P is pressure, ? H vap is the heat of vaporization, R is the universal gas constant, T is the absolute temperature, and C is a constant. The Clausius\u2013Clapeyron equation can be used to calculate the heat of vaporization of a liquid from its measured vapor pressure at two or more temperatures. , can be used to calculate the ?H<sub>vap<\/sub> of a liquid from its measured vapor pressure at two or more temperatures. The simplest way to determine ?H<sub>vap<\/sub> is to measure the vapor pressure of a liquid at two temperatures and insert the values of P and T for these points into Equation 11.2, which is derived from the Clausius\u2013Clapeyron equation:<\/p>\n<p>ln ( P 2 P 1 ) = ? ? H v an effective p Roentgen ( step one T dos ? 1 T step one )<\/p>\n<p>Conversely, if we know ?H<sub>vap<\/sub> and the vapor pressure P<sub>1<\/sub> at any temperature T<sub>1<\/sub>, we can use Equation 11.2 to calculate the vapor pressure P<sub>2<\/sub> at any other temperature T<sub>2<\/sub>, as shown in Example six.<\/p>\n<h2>Example 6<\/h2>\n<p>From these data, calculate the enthalpy of vaporization (?H<sub>vap<\/sub>) of mercury and predict the vapor pressure of the liquid at 160\u00b0C. (Safety note: mercury is highly toxic; when it is spilled, its vapor pressure generates hazardous levels of mercury vapor.)<\/p>\n<p>A Use Equation 11.2 to obtain ?H<sub>vap<\/sub> directly from two pairs of values in the table, making sure to convert all values to the appropriate units.<\/p>\n<p>A The table gives the measured vapor pressures of liquid Hg for four temperatures. Although one way to proceed would be to plot the data using Equation 11.1 and find the value of ?H<sub>vap<\/sub> from the slope of the line, an alternative <a href=\"https:\/\/datingranking.net\/tr\/lumen-inceleme\/\">lumen tan\u00c4\u00b1\u00c5\u0178ma web sitesi<\/a> approach is to use Equation 11.2 to obtain ?H<sub>vap<\/sub> directly from two pairs of values listed in the table, assuming no errors in our measurement. We therefore select two sets of values from the table and convert the temperatures from degrees Celsius to kelvins because the equation requires absolute temperatures. Substituting the values measured at 80.0\u00b0C (T<sub>1<\/sub>) and 120.0\u00b0C (T<sub>2<\/sub>) into Equation 11.2 gives<\/p>\n<p>ln ( 0.7457 torr 0.0888 torr ) = ? ? H vap 8.314 J\/(mol \u00b7 K) [ step one ( 120 + 273 ) K ? step one ( 80.0 + 273 ) K ] ln ( 8.398 ) = ? ? H vap 8.314 J \u00b7 mol ? 1 \u00b7 K ? step 1 ( ? dos.88 ? ten ? cuatro K ? step 1 ) 2.13 = ? ? H vap ( ? 0.346 ? 10 ? 4 ) J ? step one \u00b7 mol ? H vap = 61,400 J\/mol = 61 .cuatro kJ\/mol<\/p>\n","protected":false},"excerpt":{"rendered":"<p>To possess a look at pure logarithms, make reference to Very important Enjoy 6 inside the Section eleven Notice the new Pattern Erratic compounds has low boiling circumstances and you can relatively poor intermolecular affairs; nonvolatile ingredients enjoys high boiling factors and apparently strong intermolecular interactions. The fresh great boost in steam tension that have [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[2392],"tags":[],"_links":{"self":[{"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/posts\/16329"}],"collection":[{"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/comments?post=16329"}],"version-history":[{"count":1,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/posts\/16329\/revisions"}],"predecessor-version":[{"id":16330,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/posts\/16329\/revisions\/16330"}],"wp:attachment":[{"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/media?parent=16329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/categories?post=16329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/emswitchgear.com\/index.php\/wp-json\/wp\/v2\/tags?post=16329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}