{"id":728,"date":"2018-03-20T15:40:28","date_gmt":"2018-03-20T15:40:28","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/suny-orgbiochemistry\/?post_type=chapter&#038;p=728"},"modified":"2018-08-14T20:10:40","modified_gmt":"2018-08-14T20:10:40","slug":"7-3-phase-changes","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/chapter\/7-3-phase-changes\/","title":{"raw":"7.3 Phase Changes","rendered":"7.3 Phase Changes"},"content":{"raw":"<div id=\"navbar-top\" class=\"navbar\">\r\n<div class=\"navbar-part left\">\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Learning Objectives<\/h3>\r\n<div id=\"book-content\">\r\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\r\n<div id=\"gob-ch07_s03_n01\" class=\"learning_objectives editable block\">\r\n<ol id=\"gob-ch07_s03_l01\" class=\"orderedlist\">\r\n \t<li>Determine the heat associated with a phase change.<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<span style=\"font-size: 1rem;text-align: initial\">Depending on the surrounding conditions, normal matter usually exists as one of three <\/span><em class=\"emphasis\" style=\"font-size: 1rem;text-align: initial\">phases<\/em><span style=\"font-size: 1rem;text-align: initial\">: solid, liquid, or gas.<\/span>\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"book-content\">\r\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\r\n<p id=\"gob-ch07_s03_p02\" class=\"para editable block\">A <span class=\"margin_term\"><strong><span class=\"glossterm\">phase change\u00a0<\/span><\/strong><\/span>is a physical process in which a substance goes from one phase to another. Usually the change occurs when adding or removing heat at a particular temperature, known as the melting point or the boiling point of the substance. The <span class=\"margin_term\"><strong><span class=\"glossterm\">melting point<\/span><\/strong><\/span>\u00a0is the temperature at which the substance goes from a solid to a liquid, and it is exactly the same temperature as the\u00a0<strong>freezing point<\/strong>, the temperature at which a substance goes from a liquid to a solid). The <span class=\"margin_term\"><strong><span class=\"glossterm\">boiling point<\/span><\/strong><\/span>\u00a0is the temperature at which a substance goes from a liquid to a gas at normal atmospheric pressure. The nature of the phase change depends on the direction of the heat transfer. Heat going <em class=\"emphasis\">into<\/em> a substance changes it from a solid to a liquid or a liquid to a gas. Removing heat <em class=\"emphasis\">from<\/em> a substance changes a gas to a liquid or a liquid to a solid.\u00a0 Adding energy to molecules makes them more faster and become more disorderly.\u00a0 Removing energy from molecules makes them slow down and become more orderly.<\/p>\r\n<p class=\"para editable block\">Two key points are worth emphasizing. First, at a substance\u2019s melting point or boiling point, two phases can exist simultaneously. Take water (H<sub class=\"subscript\">2<\/sub>O) as an example. On the Celsius scale, H<sub class=\"subscript\">2<\/sub>O has a melting point of 0\u00b0C and a boiling point of 100\u00b0C. At 0\u00b0C, both the solid and liquid phases of H<sub class=\"subscript\">2<\/sub>O can coexist. However, if heat is added, some of the solid H<sub class=\"subscript\">2<\/sub>O will melt and turn into liquid H<sub class=\"subscript\">2<\/sub>O. If heat is removed, the opposite happens: some of the liquid H<sub class=\"subscript\">2<\/sub>O turns into solid H<sub class=\"subscript\">2<\/sub>O. A similar process can occur at 100\u00b0C: adding heat increases the amount of gaseous H<sub class=\"subscript\">2<\/sub>O, while removing heat increases the amount of liquid H<sub class=\"subscript\">2<\/sub>O.<\/p>\r\n\r\n<div class=\"textbox\">\r\n<p id=\"gob-ch07_s03_p03\" class=\"para editable block\"><span style=\"color: #6c64ad;font-size: 1.2em;font-weight: 600;background-color: initial\">Note<\/span><\/p>\r\n\r\n<div id=\"gob-ch07_s03_n02\" class=\"callout editable block\">\r\n<p id=\"gob-ch07_s03_p04\" class=\"para\">Water is a good substance to use as an example because many people are already familiar with it. Other substances have melting points and boiling points as well.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<p id=\"gob-ch07_s03_p05\" class=\"para editable block\">Second, the temperature of a substance does not change as the substance goes from one phase to another. In other words, phase changes are <span class=\"margin_term\"><strong><span class=\"glossterm\">isothermal,\u00a0<\/span><\/strong><span class=\"glossterm\">which<\/span><\/span> means \u201cconstant temperature\u201d). Again, consider H<sub class=\"subscript\">2<\/sub>O as an example. Solid water (ice) can exist at 0\u00b0C. If heat is added to ice at 0\u00b0C, some of the solid changes phase to make liquid, which is also at 0\u00b0C. Remember, the solid and liquid phases of H<sub class=\"subscript\">2<\/sub>O can coexist at 0\u00b0C. Only after all of the solid has melted into liquid does the addition of heat change the temperature of the substance.<\/p>\r\n<p id=\"gob-ch07_s03_p06\" class=\"para editable block\">For each phase change of a substance, there is a characteristic quantity of heat needed to perform the phase change per gram (or per mole) of material. The <span class=\"margin_term\"><strong><span class=\"glossterm\">heat of fusion<\/span><\/strong><\/span>\u00a0(\u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub>) is the amount of heat per gram (or per mole) required for a phase change that occurs at the melting point. The <span class=\"margin_term\"><strong><span class=\"glossterm\">heat of vaporization<\/span><\/strong><\/span>\u00a0(\u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub>) is the amount of heat per gram (or per mole) required for a phase change that occurs at the boiling point. If you know the total number of grams or moles of material, you can use the \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> or the \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> to determine the total heat being transferred for melting or solidification using these expressions:<\/p>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">n<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> (where <em class=\"emphasis\">n<\/em> is the number of moles)<\/span><\/span>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">or<\/span><\/span>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> (where <em class=\"emphasis\">m<\/em> is the mass in grams)<\/span><\/span>\r\n<p id=\"gob-ch07_s03_p07\" class=\"para editable block\">For the boiling or condensation, use these expressions:<\/p>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">n<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> (where <em class=\"emphasis\">n<\/em> is the number of moles)<\/span><\/span>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">or<\/span><\/span>\r\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> (where <em class=\"emphasis\">m<\/em> is the mass in grams)<\/span><\/span>\r\n<p id=\"gob-ch07_s03_p08\" class=\"para editable block\">Remember that a phase change depends on the direction of the heat transfer. If heat transfers in, solids become liquids, and liquids become solids at the melting and boiling points, respectively. If heat transfers out, liquids solidify, and gases condense into liquids.<\/p>\r\n\r\n<div id=\"gob-ch07_s03_n03\" class=\"exercises block\">\r\n<h3 class=\"title\">Example 4<\/h3>\r\n<p id=\"gob-ch07_s03_p09\" class=\"para\">How much heat is necessary to melt 55.8 g of ice (solid H<sub class=\"subscript\">2<\/sub>O) at 0\u00b0C? The heat of fusion of H<sub class=\"subscript\">2<\/sub>O is 79.9 cal\/g.<\/p>\r\n<p class=\"simpara\">Solution<\/p>\r\n<p id=\"gob-ch07_s03_p10\" class=\"para\">We can use the relationship between heat and the heat of fusion to determine how many joules of heat are needed to melt this ice:<\/p>\r\n<span class=\"informalequation\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub><\/span><\/span>\r\n<span class=\"informalequation\"> heat\u00a0=\u00a0(55.8\u00a0g)(79.9[latex]\\frac{\\text{cal}}{\\text{g}}[\/latex])=4,460\u00a0cal <\/span>\r\n\r\n<\/div>\r\n<div id=\"gob-ch07_s03_qs01\" class=\"qandaset block\">\r\n<div class=\"textbox exercises\">\r\n<h3 class=\"title\">Skill-Building Exercise<\/h3>\r\n<ol id=\"gob-ch07_s03_qs01_qd01\" class=\"qandadiv\">\r\n \t<li id=\"gob-ch07_s03_qs01_qd01_qa01\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs01_p01\" class=\"para\">How much heat is necessary to vaporize 685 g of H<sub class=\"subscript\">2<\/sub>O at 100\u00b0C? The heat of vaporization of H<sub class=\"subscript\">2<\/sub>O is 540 cal\/g.<\/p>\r\n\r\n<\/div><\/li>\r\n<\/ol>\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>\r\n<p id=\"gob-ch07_s03_p13\" class=\"para editable block\"><a class=\"xref\" href=\"#gob-ch07_s03_t01\">Table 7.4 \"Heats of Fusion and Vaporization for Selected Substances\"<\/a> lists the heats of fusion and vaporization for some common substances. Note the units on these quantities; when you use these values in problem solving, make sure that the other variables in your calculation are expressed in units consistent with the units in the specific heats or the heats of fusion and vaporization.<\/p>\r\n\r\n<div id=\"gob-ch07_s03_t01\" class=\"table block\">\r\n<h5 class=\"title\"><strong><span class=\"title-prefix\">Table 7.4<\/span> Heats of Fusion and Vaporization for Selected Substances<\/strong><\/h5>\r\n<table style=\"border-spacing: 0px\" cellpadding=\"0\">\r\n<thead>\r\n<tr>\r\n<th>Substance<\/th>\r\n<th align=\"right\">\u0394<em class=\"emphasis bolditalic\">H<\/em><sub class=\"subscript\">fus<\/sub> (cal\/g)<\/th>\r\n<th align=\"right\">\u0394<em class=\"emphasis bolditalic\">H<\/em><sub class=\"subscript\">vap<\/sub> (cal\/g)<\/th>\r\n<\/tr>\r\n<\/thead>\r\n<tbody>\r\n<tr>\r\n<td>aluminum (Al)<\/td>\r\n<td align=\"right\">94.0<\/td>\r\n<td align=\"right\">2,602<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>gold (Au)<\/td>\r\n<td align=\"right\">15.3<\/td>\r\n<td align=\"right\">409<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>iron (Fe)<\/td>\r\n<td align=\"right\">63.2<\/td>\r\n<td align=\"right\">1,504<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>water (H<sub class=\"subscript\">2<\/sub>O)<\/td>\r\n<td align=\"right\">79.9<\/td>\r\n<td align=\"right\">540<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>sodium chloride (NaCl)<\/td>\r\n<td align=\"right\">123.5<\/td>\r\n<td align=\"right\">691<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>ethanol (C<sub class=\"subscript\">2<\/sub>H<sub class=\"subscript\">5<\/sub>OH)<\/td>\r\n<td align=\"right\">45.2<\/td>\r\n<td align=\"right\">200.3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>benzene (C<sub class=\"subscript\">6<\/sub>H<sub class=\"subscript\">6<\/sub>)<\/td>\r\n<td align=\"right\">30.4<\/td>\r\n<td align=\"right\">94.1<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_n05\" class=\"callout block\">\r\n<div class=\"textbox shaded\">\r\n<h3 class=\"title\">Looking Closer: Sublimation and deposition<\/h3>\r\n<p id=\"gob-ch07_s03_p14\" class=\"para\">There is also a phase change where a solid goes directly to a gas:<\/p>\r\n<p style=\"text-align: center\"><span class=\"informalequation\"><span class=\"mathphrase\">solid \u2192 gas\u00a0\u00a0 <strong>(sublimation)<\/strong>\r\n<\/span><\/span><\/p>\r\n<p id=\"gob-ch07_s03_p16\" class=\"para\">We encounter sublimation in several ways. You may already be familiar with dry ice, which is simply solid carbon dioxide (CO<sub class=\"subscript\">2<\/sub>). At \u221278.5\u00b0C, solid carbon dioxide sublimes, changing directly from the solid phase to the gas phase:<\/p>\r\n<p style=\"text-align: center\"><span class=\"informalequation\"> CO<sub>2<\/sub>(s)\u00a0\u00a0\u2192\u00a0 CO<sub>2<\/sub>(g)\u00a0 at \u221278.5\u00b0C\r\n<\/span><\/p>\r\n<p id=\"gob-ch07_s03_p17\" class=\"para\">Solid carbon dioxide is called <em>dry<\/em> ice because it does not pass through the liquid phase but goes directly to the gas phase at normal atmospheric pressure. Dry ice has many practical uses, including the long-term preservation of medical samples.<\/p>\r\n<p id=\"gob-ch07_s03_p18\" class=\"para\">Even plain old ice, solid H<sub class=\"subscript\">2<\/sub>O, slowly sublimes at temperatures below 0\u00b0C. For example, ice cubes in a freezer may get smaller over time. Although frozen, the solid water slowly sublimes, releasing water molecules into the air in the freezer. Water also sublimes from frozen foods, giving them an unattractive, mottled appearance called freezer burn. It is not really a \u201cburn,\u201d and the food has not necessarily gone bad, although it looks unappetizing. Freezer burn can be minimized by lowering a freezer\u2019s temperature and by wrapping foods tightly so water does not have any space to sublime into.<\/p>\r\n<strong>Deposition<\/strong> is the opposite of sublimation in that molecules leave the gas phase and go directly to the solid phase when they hit a cold object.\r\n<p style=\"text-align: center\"><span class=\"informalequation\"><span class=\"mathphrase\">gas \u2192 solid \u00a0 <strong>(deposition)<\/strong><\/span><\/span><\/p>\r\nThe formation of frost on a car windshield is an example of deposition, as is the formation of snowflakes in clouds.\u00a0 The lacy appearance of frost and snow flakes reflects their molecule-by-molecule deposition on a cold surface.\u00a0 In contrast, ice looks smooth because a water sample went from liquid to solid in bulk, not molecule-by-molecule.\r\n\r\n<\/div>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_qs02\" class=\"qandaset block\">\r\n<div class=\"textbox exercises\">\r\n<div id=\"gob-ch07_s03_qs02\" class=\"qandaset block\">\r\n<h3 class=\"title\">Concept Review Exercises<\/h3>\r\n<ol id=\"gob-ch07_s03_qs02_qd01\" class=\"qandadiv\">\r\n \t<li id=\"gob-ch07_s03_qs02_qd01_qa01\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs02_p01\" class=\"para\">Explain what happens when heat flows into or out of a substance at its melting point or boiling point.<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs02_qd01_qa02\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs02_p03\" class=\"para\">How does the amount of heat required for a phase change relate to the mass of the substance?<\/p>\r\n\r\n<\/div><\/li>\r\n<\/ol>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_qs02_ans\" class=\"qandaset block\">\r\n<h3 class=\"title\">Answers<\/h3>\r\n[reveal-answer q=\"402994\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"402994\"]\r\n<ol>\r\n \t<li>The energy goes into changing the phase, not the temperature.<\/li>\r\n \t<li>The amount of heat is a constant per gram of substance.[\/hidden-answer]<\/li>\r\n<\/ol>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_n07\" class=\"key_takeaways editable block\">\r\n<div class=\"textbox key-takeaways\">\r\n<h3 class=\"title\">Key Takeaway<\/h3>\r\n<ul id=\"gob-ch07_s03_l03\" class=\"itemizedlist\">\r\n \t<li>There is an energy change associated with any phase change.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_qs03\" class=\"qandaset block\">\r\n<div class=\"textbox exercises\">\r\n<div id=\"book-content\">\r\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\r\n<div id=\"gob-ch07_s03_qs03\" class=\"qandaset block\">\r\n<h3 class=\"title\">Exercises<\/h3>\r\n<ol id=\"gob-ch07_s03_qs03_qd01\" class=\"qandadiv\">\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa01\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p01\" class=\"para\">How much energy is needed to melt 43.8 g of Au at its melting point of 1,064\u00b0C?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa02\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p03\" class=\"para\">How much energy is given off when 563.8 g of NaCl solidifies at its freezing point of 801\u00b0C?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa03\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p05\" class=\"para\">What mass of ice can be melted by 558 cal of energy?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa04\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p07\" class=\"para\">How much ethanol (C<sub class=\"subscript\">2<\/sub>H<sub class=\"subscript\">5<\/sub>OH) in grams can freeze at its freezing point if 1,225 cal of heat are removed?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa05\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p09\" class=\"para\">What is the heat of vaporization of a substance if 10,776 cal are required to vaporize 5.05 g? Express your final answer in joules per gram.<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa06\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p11\" class=\"para\">If 1,650 cal of heat are required to vaporize a sample that has a heat of vaporization of 137 cal\/g, what is the mass of the sample?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa07\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p13\" class=\"para\">What is the heat of fusion of water in calories per mole?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa08\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p15\" class=\"para\">What is the heat of vaporization of benzene (C<sub class=\"subscript\">6<\/sub>H<sub class=\"subscript\">6<\/sub>) in calories per mole?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa09\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p17\" class=\"para\">What is the heat of vaporization of gold in calories per mole?<\/p>\r\n\r\n<\/div><\/li>\r\n \t<li id=\"gob-ch07_s03_qs03_qd01_qa10\" class=\"qandaentry\">\r\n<div class=\"question\">\r\n<p id=\"gob-ch07_s03_qs03_p19\" class=\"para\">What is the heat of fusion of iron in calories per mole?<\/p>\r\n\r\n<\/div><\/li>\r\n<\/ol>\r\n<\/div>\r\n<div id=\"gob-ch07_s03_qs03_ans\" class=\"qandaset block\">\r\n<h3 class=\"title\">Answers<\/h3>\r\n[reveal-answer q=\"228956\"]Show Answer[\/reveal-answer]\r\n[hidden-answer a=\"228956\"]\r\n\r\n1. 670 cal\r\n\r\n3. 6.98 g\r\n\r\n5. 8,930 J\/g\r\n\r\n7. 1,440 cal\/mol\r\n\r\n9. 80,600 cal\/mol \u00a0[\/hidden-answer]\r\n<div class=\"answer\"><\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"<div id=\"navbar-top\" class=\"navbar\">\n<div class=\"navbar-part left\">\n<div class=\"textbox learning-objectives\">\n<h3>Learning Objectives<\/h3>\n<div id=\"book-content\">\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\n<div id=\"gob-ch07_s03_n01\" class=\"learning_objectives editable block\">\n<ol id=\"gob-ch07_s03_l01\" class=\"orderedlist\">\n<li>Determine the heat associated with a phase change.<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><span style=\"font-size: 1rem;text-align: initial\">Depending on the surrounding conditions, normal matter usually exists as one of three <\/span><em class=\"emphasis\" style=\"font-size: 1rem;text-align: initial\">phases<\/em><span style=\"font-size: 1rem;text-align: initial\">: solid, liquid, or gas.<\/span><\/p>\n<\/div>\n<\/div>\n<div id=\"book-content\">\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\n<p id=\"gob-ch07_s03_p02\" class=\"para editable block\">A <span class=\"margin_term\"><strong><span class=\"glossterm\">phase change\u00a0<\/span><\/strong><\/span>is a physical process in which a substance goes from one phase to another. Usually the change occurs when adding or removing heat at a particular temperature, known as the melting point or the boiling point of the substance. The <span class=\"margin_term\"><strong><span class=\"glossterm\">melting point<\/span><\/strong><\/span>\u00a0is the temperature at which the substance goes from a solid to a liquid, and it is exactly the same temperature as the\u00a0<strong>freezing point<\/strong>, the temperature at which a substance goes from a liquid to a solid). The <span class=\"margin_term\"><strong><span class=\"glossterm\">boiling point<\/span><\/strong><\/span>\u00a0is the temperature at which a substance goes from a liquid to a gas at normal atmospheric pressure. The nature of the phase change depends on the direction of the heat transfer. Heat going <em class=\"emphasis\">into<\/em> a substance changes it from a solid to a liquid or a liquid to a gas. Removing heat <em class=\"emphasis\">from<\/em> a substance changes a gas to a liquid or a liquid to a solid.\u00a0 Adding energy to molecules makes them more faster and become more disorderly.\u00a0 Removing energy from molecules makes them slow down and become more orderly.<\/p>\n<p class=\"para editable block\">Two key points are worth emphasizing. First, at a substance\u2019s melting point or boiling point, two phases can exist simultaneously. Take water (H<sub class=\"subscript\">2<\/sub>O) as an example. On the Celsius scale, H<sub class=\"subscript\">2<\/sub>O has a melting point of 0\u00b0C and a boiling point of 100\u00b0C. At 0\u00b0C, both the solid and liquid phases of H<sub class=\"subscript\">2<\/sub>O can coexist. However, if heat is added, some of the solid H<sub class=\"subscript\">2<\/sub>O will melt and turn into liquid H<sub class=\"subscript\">2<\/sub>O. If heat is removed, the opposite happens: some of the liquid H<sub class=\"subscript\">2<\/sub>O turns into solid H<sub class=\"subscript\">2<\/sub>O. A similar process can occur at 100\u00b0C: adding heat increases the amount of gaseous H<sub class=\"subscript\">2<\/sub>O, while removing heat increases the amount of liquid H<sub class=\"subscript\">2<\/sub>O.<\/p>\n<div class=\"textbox\">\n<p id=\"gob-ch07_s03_p03\" class=\"para editable block\"><span style=\"color: #6c64ad;font-size: 1.2em;font-weight: 600;background-color: initial\">Note<\/span><\/p>\n<div id=\"gob-ch07_s03_n02\" class=\"callout editable block\">\n<p id=\"gob-ch07_s03_p04\" class=\"para\">Water is a good substance to use as an example because many people are already familiar with it. Other substances have melting points and boiling points as well.<\/p>\n<\/div>\n<\/div>\n<p id=\"gob-ch07_s03_p05\" class=\"para editable block\">Second, the temperature of a substance does not change as the substance goes from one phase to another. In other words, phase changes are <span class=\"margin_term\"><strong><span class=\"glossterm\">isothermal,\u00a0<\/span><\/strong><span class=\"glossterm\">which<\/span><\/span> means \u201cconstant temperature\u201d). Again, consider H<sub class=\"subscript\">2<\/sub>O as an example. Solid water (ice) can exist at 0\u00b0C. If heat is added to ice at 0\u00b0C, some of the solid changes phase to make liquid, which is also at 0\u00b0C. Remember, the solid and liquid phases of H<sub class=\"subscript\">2<\/sub>O can coexist at 0\u00b0C. Only after all of the solid has melted into liquid does the addition of heat change the temperature of the substance.<\/p>\n<p id=\"gob-ch07_s03_p06\" class=\"para editable block\">For each phase change of a substance, there is a characteristic quantity of heat needed to perform the phase change per gram (or per mole) of material. The <span class=\"margin_term\"><strong><span class=\"glossterm\">heat of fusion<\/span><\/strong><\/span>\u00a0(\u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub>) is the amount of heat per gram (or per mole) required for a phase change that occurs at the melting point. The <span class=\"margin_term\"><strong><span class=\"glossterm\">heat of vaporization<\/span><\/strong><\/span>\u00a0(\u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub>) is the amount of heat per gram (or per mole) required for a phase change that occurs at the boiling point. If you know the total number of grams or moles of material, you can use the \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> or the \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> to determine the total heat being transferred for melting or solidification using these expressions:<\/p>\n<p><span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">n<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> (where <em class=\"emphasis\">n<\/em> is the number of moles)<\/span><\/span><br \/>\n<span class=\"informalequation block\"><span class=\"mathphrase\">or<\/span><\/span><br \/>\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub> (where <em class=\"emphasis\">m<\/em> is the mass in grams)<\/span><\/span><\/p>\n<p id=\"gob-ch07_s03_p07\" class=\"para editable block\">For the boiling or condensation, use these expressions:<\/p>\n<p><span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">n<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> (where <em class=\"emphasis\">n<\/em> is the number of moles)<\/span><\/span><br \/>\n<span class=\"informalequation block\"><span class=\"mathphrase\">or<\/span><\/span><br \/>\n<span class=\"informalequation block\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">vap<\/sub> (where <em class=\"emphasis\">m<\/em> is the mass in grams)<\/span><\/span><\/p>\n<p id=\"gob-ch07_s03_p08\" class=\"para editable block\">Remember that a phase change depends on the direction of the heat transfer. If heat transfers in, solids become liquids, and liquids become solids at the melting and boiling points, respectively. If heat transfers out, liquids solidify, and gases condense into liquids.<\/p>\n<div id=\"gob-ch07_s03_n03\" class=\"exercises block\">\n<h3 class=\"title\">Example 4<\/h3>\n<p id=\"gob-ch07_s03_p09\" class=\"para\">How much heat is necessary to melt 55.8 g of ice (solid H<sub class=\"subscript\">2<\/sub>O) at 0\u00b0C? The heat of fusion of H<sub class=\"subscript\">2<\/sub>O is 79.9 cal\/g.<\/p>\n<p class=\"simpara\">Solution<\/p>\n<p id=\"gob-ch07_s03_p10\" class=\"para\">We can use the relationship between heat and the heat of fusion to determine how many joules of heat are needed to melt this ice:<\/p>\n<p><span class=\"informalequation\"><span class=\"mathphrase\">heat = <em class=\"emphasis\">m<\/em> \u00d7 \u0394<em class=\"emphasis\">H<\/em><sub class=\"subscript\">fus<\/sub><\/span><\/span><br \/>\n<span class=\"informalequation\"> heat\u00a0=\u00a0(55.8\u00a0g)(79.9[latex]\\frac{\\text{cal}}{\\text{g}}[\/latex])=4,460\u00a0cal <\/span><\/p>\n<\/div>\n<div id=\"gob-ch07_s03_qs01\" class=\"qandaset block\">\n<div class=\"textbox exercises\">\n<h3 class=\"title\">Skill-Building Exercise<\/h3>\n<ol id=\"gob-ch07_s03_qs01_qd01\" class=\"qandadiv\">\n<li id=\"gob-ch07_s03_qs01_qd01_qa01\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs01_p01\" class=\"para\">How much heat is necessary to vaporize 685 g of H<sub class=\"subscript\">2<\/sub>O at 100\u00b0C? The heat of vaporization of H<sub class=\"subscript\">2<\/sub>O is 540 cal\/g.<\/p>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<p id=\"gob-ch07_s03_p13\" class=\"para editable block\"><a class=\"xref\" href=\"#gob-ch07_s03_t01\">Table 7.4 &#8220;Heats of Fusion and Vaporization for Selected Substances&#8221;<\/a> lists the heats of fusion and vaporization for some common substances. Note the units on these quantities; when you use these values in problem solving, make sure that the other variables in your calculation are expressed in units consistent with the units in the specific heats or the heats of fusion and vaporization.<\/p>\n<div id=\"gob-ch07_s03_t01\" class=\"table block\">\n<h5 class=\"title\"><strong><span class=\"title-prefix\">Table 7.4<\/span> Heats of Fusion and Vaporization for Selected Substances<\/strong><\/h5>\n<table style=\"border-spacing: 0px\" cellpadding=\"0\">\n<thead>\n<tr>\n<th>Substance<\/th>\n<th align=\"right\">\u0394<em class=\"emphasis bolditalic\">H<\/em><sub class=\"subscript\">fus<\/sub> (cal\/g)<\/th>\n<th align=\"right\">\u0394<em class=\"emphasis bolditalic\">H<\/em><sub class=\"subscript\">vap<\/sub> (cal\/g)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>aluminum (Al)<\/td>\n<td align=\"right\">94.0<\/td>\n<td align=\"right\">2,602<\/td>\n<\/tr>\n<tr>\n<td>gold (Au)<\/td>\n<td align=\"right\">15.3<\/td>\n<td align=\"right\">409<\/td>\n<\/tr>\n<tr>\n<td>iron (Fe)<\/td>\n<td align=\"right\">63.2<\/td>\n<td align=\"right\">1,504<\/td>\n<\/tr>\n<tr>\n<td>water (H<sub class=\"subscript\">2<\/sub>O)<\/td>\n<td align=\"right\">79.9<\/td>\n<td align=\"right\">540<\/td>\n<\/tr>\n<tr>\n<td>sodium chloride (NaCl)<\/td>\n<td align=\"right\">123.5<\/td>\n<td align=\"right\">691<\/td>\n<\/tr>\n<tr>\n<td>ethanol (C<sub class=\"subscript\">2<\/sub>H<sub class=\"subscript\">5<\/sub>OH)<\/td>\n<td align=\"right\">45.2<\/td>\n<td align=\"right\">200.3<\/td>\n<\/tr>\n<tr>\n<td>benzene (C<sub class=\"subscript\">6<\/sub>H<sub class=\"subscript\">6<\/sub>)<\/td>\n<td align=\"right\">30.4<\/td>\n<td align=\"right\">94.1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<div id=\"gob-ch07_s03_n05\" class=\"callout block\">\n<div class=\"textbox shaded\">\n<h3 class=\"title\">Looking Closer: Sublimation and deposition<\/h3>\n<p id=\"gob-ch07_s03_p14\" class=\"para\">There is also a phase change where a solid goes directly to a gas:<\/p>\n<p style=\"text-align: center\"><span class=\"informalequation\"><span class=\"mathphrase\">solid \u2192 gas\u00a0\u00a0 <strong>(sublimation)<\/strong><br \/>\n<\/span><\/span><\/p>\n<p id=\"gob-ch07_s03_p16\" class=\"para\">We encounter sublimation in several ways. You may already be familiar with dry ice, which is simply solid carbon dioxide (CO<sub class=\"subscript\">2<\/sub>). At \u221278.5\u00b0C, solid carbon dioxide sublimes, changing directly from the solid phase to the gas phase:<\/p>\n<p style=\"text-align: center\"><span class=\"informalequation\"> CO<sub>2<\/sub>(s)\u00a0\u00a0\u2192\u00a0 CO<sub>2<\/sub>(g)\u00a0 at \u221278.5\u00b0C<br \/>\n<\/span><\/p>\n<p id=\"gob-ch07_s03_p17\" class=\"para\">Solid carbon dioxide is called <em>dry<\/em> ice because it does not pass through the liquid phase but goes directly to the gas phase at normal atmospheric pressure. Dry ice has many practical uses, including the long-term preservation of medical samples.<\/p>\n<p id=\"gob-ch07_s03_p18\" class=\"para\">Even plain old ice, solid H<sub class=\"subscript\">2<\/sub>O, slowly sublimes at temperatures below 0\u00b0C. For example, ice cubes in a freezer may get smaller over time. Although frozen, the solid water slowly sublimes, releasing water molecules into the air in the freezer. Water also sublimes from frozen foods, giving them an unattractive, mottled appearance called freezer burn. It is not really a \u201cburn,\u201d and the food has not necessarily gone bad, although it looks unappetizing. Freezer burn can be minimized by lowering a freezer\u2019s temperature and by wrapping foods tightly so water does not have any space to sublime into.<\/p>\n<p><strong>Deposition<\/strong> is the opposite of sublimation in that molecules leave the gas phase and go directly to the solid phase when they hit a cold object.<\/p>\n<p style=\"text-align: center\"><span class=\"informalequation\"><span class=\"mathphrase\">gas \u2192 solid \u00a0 <strong>(deposition)<\/strong><\/span><\/span><\/p>\n<p>The formation of frost on a car windshield is an example of deposition, as is the formation of snowflakes in clouds.\u00a0 The lacy appearance of frost and snow flakes reflects their molecule-by-molecule deposition on a cold surface.\u00a0 In contrast, ice looks smooth because a water sample went from liquid to solid in bulk, not molecule-by-molecule.<\/p>\n<\/div>\n<\/div>\n<div id=\"gob-ch07_s03_qs02\" class=\"qandaset block\">\n<div class=\"textbox exercises\">\n<div id=\"gob-ch07_s03_qs02\" class=\"qandaset block\">\n<h3 class=\"title\">Concept Review Exercises<\/h3>\n<ol id=\"gob-ch07_s03_qs02_qd01\" class=\"qandadiv\">\n<li id=\"gob-ch07_s03_qs02_qd01_qa01\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs02_p01\" class=\"para\">Explain what happens when heat flows into or out of a substance at its melting point or boiling point.<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs02_qd01_qa02\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs02_p03\" class=\"para\">How does the amount of heat required for a phase change relate to the mass of the substance?<\/p>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<div id=\"gob-ch07_s03_qs02_ans\" class=\"qandaset block\">\n<h3 class=\"title\">Answers<\/h3>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q402994\">Show Answer<\/span><\/p>\n<div id=\"q402994\" class=\"hidden-answer\" style=\"display: none\">\n<ol>\n<li>The energy goes into changing the phase, not the temperature.<\/li>\n<li>The amount of heat is a constant per gram of substance.<\/div>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"gob-ch07_s03_n07\" class=\"key_takeaways editable block\">\n<div class=\"textbox key-takeaways\">\n<h3 class=\"title\">Key Takeaway<\/h3>\n<ul id=\"gob-ch07_s03_l03\" class=\"itemizedlist\">\n<li>There is an energy change associated with any phase change.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div id=\"gob-ch07_s03_qs03\" class=\"qandaset block\">\n<div class=\"textbox exercises\">\n<div id=\"book-content\">\n<div id=\"gob-ch07_s03\" class=\"section\" xml:lang=\"en\">\n<div id=\"gob-ch07_s03_qs03\" class=\"qandaset block\">\n<h3 class=\"title\">Exercises<\/h3>\n<ol id=\"gob-ch07_s03_qs03_qd01\" class=\"qandadiv\">\n<li id=\"gob-ch07_s03_qs03_qd01_qa01\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p01\" class=\"para\">How much energy is needed to melt 43.8 g of Au at its melting point of 1,064\u00b0C?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa02\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p03\" class=\"para\">How much energy is given off when 563.8 g of NaCl solidifies at its freezing point of 801\u00b0C?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa03\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p05\" class=\"para\">What mass of ice can be melted by 558 cal of energy?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa04\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p07\" class=\"para\">How much ethanol (C<sub class=\"subscript\">2<\/sub>H<sub class=\"subscript\">5<\/sub>OH) in grams can freeze at its freezing point if 1,225 cal of heat are removed?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa05\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p09\" class=\"para\">What is the heat of vaporization of a substance if 10,776 cal are required to vaporize 5.05 g? Express your final answer in joules per gram.<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa06\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p11\" class=\"para\">If 1,650 cal of heat are required to vaporize a sample that has a heat of vaporization of 137 cal\/g, what is the mass of the sample?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa07\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p13\" class=\"para\">What is the heat of fusion of water in calories per mole?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa08\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p15\" class=\"para\">What is the heat of vaporization of benzene (C<sub class=\"subscript\">6<\/sub>H<sub class=\"subscript\">6<\/sub>) in calories per mole?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa09\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p17\" class=\"para\">What is the heat of vaporization of gold in calories per mole?<\/p>\n<\/div>\n<\/li>\n<li id=\"gob-ch07_s03_qs03_qd01_qa10\" class=\"qandaentry\">\n<div class=\"question\">\n<p id=\"gob-ch07_s03_qs03_p19\" class=\"para\">What is the heat of fusion of iron in calories per mole?<\/p>\n<\/div>\n<\/li>\n<\/ol>\n<\/div>\n<div id=\"gob-ch07_s03_qs03_ans\" class=\"qandaset block\">\n<h3 class=\"title\">Answers<\/h3>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q228956\">Show Answer<\/span><\/p>\n<div id=\"q228956\" class=\"hidden-answer\" style=\"display: none\">\n<p>1. 670 cal<\/p>\n<p>3. 6.98 g<\/p>\n<p>5. 8,930 J\/g<\/p>\n<p>7. 1,440 cal\/mol<\/p>\n<p>9. 80,600 cal\/mol \u00a0<\/p><\/div>\n<\/div>\n<div class=\"answer\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-728\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>The Basics of General, Organic, and Biological Chemistry v. 1.0. <strong>Provided by<\/strong>: Saylor Academy. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/saylordotorg.github.io\/text_the-basics-of-general-organic-and-biological-chemistry\/\">https:\/\/saylordotorg.github.io\/text_the-basics-of-general-organic-and-biological-chemistry\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/\">CC BY-NC: Attribution-NonCommercial<\/a><\/em>. <strong>License Terms<\/strong>: This text was adapted by Saylor Academy under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License without attribution as requested by the work&#039;s original creator or licensor.<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":44985,"menu_order":4,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"The Basics of General, Organic, and Biological Chemistry v. 1.0\",\"author\":\"\",\"organization\":\"Saylor Academy\",\"url\":\"https:\/\/saylordotorg.github.io\/text_the-basics-of-general-organic-and-biological-chemistry\/\",\"project\":\"\",\"license\":\"cc-by-nc\",\"license_terms\":\"This text was adapted by Saylor Academy under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License without attribution as requested by the work\\'s original creator or licensor.\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-728","chapter","type-chapter","status-publish","hentry"],"part":705,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapters\/728","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/wp\/v2\/users\/44985"}],"version-history":[{"count":7,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapters\/728\/revisions"}],"predecessor-version":[{"id":3254,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapters\/728\/revisions\/3254"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/parts\/705"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapters\/728\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/wp\/v2\/media?parent=728"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/pressbooks\/v2\/chapter-type?post=728"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/wp\/v2\/contributor?post=728"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-monroecc-orgbiochemistry\/wp-json\/wp\/v2\/license?post=728"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}