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05:_Thermochemistry
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<p class="lt-chem-21660" style="background-color: unset;"></p> <p class="lt-chem-21660" style="background-color: unset;">This chapter introduces you to <strong>thermochemistry</strong>, a branch of chemistry that describes the energy changes that occur during chemical reactions. In some situations, the energy produced by chemical reactions is actually of greater interest to chemists than the material products of the reaction. For example, the controlled combustion of organic molecules, primarily sugars and fats, within our cells provides the energy for physical activity, thought, and other complex chemical transformations that occur in our bodies. Similarly, our energy-intensive society extracts energy from the combustion of fossil fuels, such as coal, petroleum, and natural gas, to manufacture clothing and furniture, heat your home in winter and cool it in summer, and power the car or bus that gets you to class and to the movies. By the end of this chapter, you will know enough about thermochemistry to explain why ice cubes cool a glass of soda, how instant cold packs and hot packs work, and why swimming pools and waterbeds are heated. You will also understand what factors determine the caloric content of your diet and why even “nonpolluting” uses of fossil fuels may be affecting the environment.</p> <p class="lt-chem-21660" style="background-color: unset;"></p><div id="590bb0e4-fc39-7d64-1652-edcc56a579a0" class="mt-guide-content"><div class="noindex"><ul class="mt-topic-hierarchy-listings mt-guide-listings"><li data-page-id="21720" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.1: The Nature of Energy" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.01:_The_Nature_of_Energy"><span class="mt-icon-article-topic"></span>5.1: The Nature of Energy</a></dt><dd class="mt-listing-detailed-overview">All forms of energy can be interconverted. Three things can change the energy of an object: the transfer of heat, work performed on or by an object, or some combination of heat and work. Thermochemistry is a branch of chemistry that qualitatively and quantitatively describes the energy changes that occur during chemical reactions. Energy is the capacity to do work.</dd></dl></li><li data-page-id="21721" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.2: The First Law of Thermodynamics" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.02:_The_First_Law_of_Thermodynamics"><span class="mt-icon-article-topic"></span>5.2: The First Law of Thermodynamics</a></dt><dd class="mt-listing-detailed-overview">The first law of thermodynamics states that the energy of the universe is constant. The change in the internal energy of a system is the sum of the heat transferred and the work done. At constant pressure, heat flow (q) and internal energy (U) are related to the system’s enthalpy (H). The heat flow is equal to the change in the internal energy.</dd></dl></li><li data-page-id="21723" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.3: Enthalpy" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.03:_Enthalpy"><span class="mt-icon-article-topic"></span>5.3: Enthalpy</a></dt><dd class="mt-listing-detailed-overview">At constant pressure, heat flow (q) and internal energy (U) are related to the system’s enthalpy (H).</dd></dl></li><li data-page-id="21722" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.4: Enthalpy of Reaction" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.04:_Enthalpy_of_Reaction"><span class="mt-icon-article-topic"></span>5.4: Enthalpy of Reaction</a></dt><dd class="mt-listing-detailed-overview">For a chemical reaction, the enthalpy of reaction (<mjx-container 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data-semantic-level-number="3" data-speech-node="true">x</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="n" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:n" data-semantic-level-number="3" data-speech-node="true">n</mi></mrow></msub></math></mjx-assistive-mml></mjx-container>) is the difference in enthalpy between products and reactants; the units of <mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" overflow="linebreak" tabindex="0" ctxtmenu_counter="97" style="font-size: 85%; position: relative;"><svg width="6.549ex" height="1.977ex" role="img" focusable="false" 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data-c="1D465" href="#MJX-98-NCM-I-1D465"></use></g><g data-mml-node="mo" data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-id="6" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true" transform="translate(1023,0)"><use data-c="2062" href="#MJX-98-NCM-N-2062"></use></g><g data-mml-node="mi" data-latex="n" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-id="4" data-semantic-parent="7" data-semantic-attributes="latex:n" data-semantic-level-number="3" data-speech-node="true" transform="translate(1023,0)"><use data-c="1D45B" href="#MJX-98-NCM-I-1D45B"></use></g></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math data-latex="ΔH_{rxn}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:1" data-semantic-="" data-semantic-children="0,8" data-semantic-content="9" data-semantic-attributes="latex:ΔH_{rxn}" data-semantic-owns="0 9 8" data-semantic-level-number="0" data-speech-node="true" data-semantic-structure="(10 0 9 (8 1 (7 2 5 3 6 4)))"><mi mathvariant="normal" data-latex="Δ" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-annotation="clearspeak:simple;nemeth:number;depth:2" data-semantic-="" data-semantic-parent="10" data-semantic-attributes="latex:Δ" data-semantic-level-number="1" data-speech-node="true">Δ</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-parent="10" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="1" data-speech-node="true">⁢</mo><msub data-latex="H_{r x n}" data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-children="1,7" data-semantic-parent="10" data-semantic-attributes="latex:H_{r x n}" data-semantic-owns="1 7" data-semantic-level-number="1" data-speech-node="true"><mi data-latex="H" data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:3" data-semantic-="" data-semantic-parent="8" data-semantic-attributes="latex:H" data-semantic-level-number="2" data-speech-node="true">H</mi><mrow data-mjx-texclass="ORD" data-latex="{r x n}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:3" data-semantic-="" data-semantic-children="2,3,4" data-semantic-content="5,6" data-semantic-parent="8" data-semantic-attributes="latex:{r x n};texclass:ORD" data-semantic-owns="2 5 3 6 4" data-semantic-level-number="2" data-speech-node="true"><mi data-latex="r" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:r" data-semantic-level-number="3" data-speech-node="true">r</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="x" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:x" data-semantic-level-number="3" data-speech-node="true">x</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="n" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:n" data-semantic-level-number="3" data-speech-node="true">n</mi></mrow></msub></math></mjx-assistive-mml></mjx-container> are kilojoules per mole. Reversing a chemical reaction reverses the sign of <mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" overflow="linebreak" tabindex="0" ctxtmenu_counter="98" style="font-size: 85%; position: relative;"><svg width="6.549ex" height="1.977ex" role="img" focusable="false" viewbox="0 -716 2894.6 873.8" aria-hidden="true" style="vertical-align: -0.357ex;"><defs><path id="MJX-99-NCM-N-394" d="M759 0C776 0 785 4 785 13L445 696C438 709 429 716 416 716C403 716 394 709 387 696L52 25C49 18 47 14 47 12C47 4 56 0 73 0M384 604L644 83L124 83Z"></path><path id="MJX-99-NCM-N-2062" d=""></path><path id="MJX-99-NCM-I-1D43B" d="M881 668C881 678 875 683 863 683L736 680L609 683C593 683 586 674 586 659C586 652 589 647 594 646C604 645 612 644 617 644C648 643 665 641 670 640C675 639 678 636 678 631C677 628 676 622 674 613L615 375L321 375L379 602C384 623 393 636 406 641C413 643 430 644 458 644C485 644 496 644 496 668C496 678 490 683 478 683L351 680L223 683C207 683 200 674 200 659C200 652 203 647 209 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data-semantic-level-number="0" data-speech-node="true" data-semantic-structure="(10 0 9 (8 1 (7 2 5 3 6 4)))"><g data-mml-node="mi" data-latex="Δ" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-annotation="clearspeak:simple;nemeth:number;depth:2" data-semantic-id="0" data-semantic-parent="10" data-semantic-attributes="latex:Δ" data-semantic-level-number="1" data-speech-node="true"><use data-c="394" href="#MJX-99-NCM-N-394"></use></g><g data-mml-node="mo" data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:2" data-semantic-id="9" data-semantic-parent="10" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="1" data-speech-node="true" transform="translate(833,0)"><use data-c="2062" href="#MJX-99-NCM-N-2062"></use></g><g data-mml-node="msub" data-latex="H_{r x n}" data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-annotation="depth:2" data-semantic-id="8" data-semantic-children="1,7" data-semantic-parent="10" data-semantic-attributes="latex:H_{r x n}" data-semantic-owns="1 7" data-semantic-level-number="1" data-speech-node="true" transform="translate(833,0)"><g data-mml-node="mi" data-latex="H" data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:3" data-semantic-id="1" data-semantic-parent="8" data-semantic-attributes="latex:H" data-semantic-level-number="2" data-speech-node="true"><use data-c="1D43B" href="#MJX-99-NCM-I-1D43B"></use></g><g data-mml-node="TeXAtom" transform="translate(864,-150) scale(0.707)" data-mjx-texclass="ORD" data-latex="{r x n}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:3" data-semantic-id="7" data-semantic-children="2,3,4" data-semantic-content="5,6" data-semantic-parent="8" data-semantic-attributes="latex:{r x n};texclass:ORD" data-semantic-owns="2 5 3 6 4" data-semantic-level-number="2" data-speech-node="true"><g data-mml-node="mi" data-latex="r" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-id="2" data-semantic-parent="7" data-semantic-attributes="latex:r" data-semantic-level-number="3" data-speech-node="true"><use data-c="1D45F" href="#MJX-99-NCM-I-1D45F"></use></g><g data-mml-node="mo" data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-id="5" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true" transform="translate(451,0)"><use data-c="2062" href="#MJX-99-NCM-N-2062"></use></g><g data-mml-node="mi" data-latex="x" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-id="3" data-semantic-parent="7" data-semantic-attributes="latex:x" data-semantic-level-number="3" data-speech-node="true" transform="translate(451,0)"><use data-c="1D465" href="#MJX-99-NCM-I-1D465"></use></g><g data-mml-node="mo" data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-id="6" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true" transform="translate(1023,0)"><use data-c="2062" href="#MJX-99-NCM-N-2062"></use></g><g data-mml-node="mi" data-latex="n" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-id="4" data-semantic-parent="7" data-semantic-attributes="latex:n" data-semantic-level-number="3" data-speech-node="true" transform="translate(1023,0)"><use data-c="1D45B" href="#MJX-99-NCM-I-1D45B"></use></g></g></g></g></g></svg><mjx-assistive-mml unselectable="on" display="inline"><math data-latex="ΔH_{rxn}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:1" data-semantic-="" data-semantic-children="0,8" data-semantic-content="9" data-semantic-attributes="latex:ΔH_{rxn}" data-semantic-owns="0 9 8" data-semantic-level-number="0" data-speech-node="true" data-semantic-structure="(10 0 9 (8 1 (7 2 5 3 6 4)))"><mi mathvariant="normal" data-latex="Δ" data-semantic-type="identifier" data-semantic-role="greekletter" data-semantic-font="normal" data-semantic-annotation="clearspeak:simple;nemeth:number;depth:2" data-semantic-="" data-semantic-parent="10" data-semantic-attributes="latex:Δ" data-semantic-level-number="1" data-speech-node="true">Δ</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-parent="10" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="1" data-speech-node="true">⁢</mo><msub data-latex="H_{r x n}" data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-children="1,7" data-semantic-parent="10" data-semantic-attributes="latex:H_{r x n}" data-semantic-owns="1 7" data-semantic-level-number="1" data-speech-node="true"><mi data-latex="H" data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:3" data-semantic-="" data-semantic-parent="8" data-semantic-attributes="latex:H" data-semantic-level-number="2" data-speech-node="true">H</mi><mrow data-mjx-texclass="ORD" data-latex="{r x n}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:3" data-semantic-="" data-semantic-children="2,3,4" data-semantic-content="5,6" data-semantic-parent="8" data-semantic-attributes="latex:{r x n};texclass:ORD" data-semantic-owns="2 5 3 6 4" data-semantic-level-number="2" data-speech-node="true"><mi data-latex="r" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:r" data-semantic-level-number="3" data-speech-node="true">r</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="x" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:x" data-semantic-level-number="3" data-speech-node="true">x</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="n" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="7" data-semantic-attributes="latex:n" data-semantic-level-number="3" data-speech-node="true">n</mi></mrow></msub></math></mjx-assistive-mml></mjx-container>.</dd></dl></li><li data-page-id="21724" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.5: Calorimetry" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.05:_Calorimetry"><span class="mt-icon-article-topic"></span>5.5: Calorimetry</a></dt><dd class="mt-listing-detailed-overview">Calorimetry measures enthalpy changes during chemical processes, where the magnitude of the temperature change depends on the amount of heat released or absorbed and on the heat capacity of the system. It uses devices called calorimeters, which measure the change in temperature when a chemical reaction is carried out. The magnitude of the temperature change depends on the amount of heat released or absorbed and on the heat capacity of the system.</dd></dl></li><li data-page-id="21725" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.6: Hess's Law" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.06:_Hess's_Law"><span class="mt-icon-article-topic"></span>5.6: Hess's Law</a></dt><dd class="mt-listing-detailed-overview">Hess's law argues that for a chemical reaction, the enthalpy of reaction (ΔHrxn) is the difference in enthalpy between products and reactants; the units of ΔHrxn are kilojoules per mole. Reversing a chemical reaction reverses the sign of ΔHrxn. The magnitude of ΔHrxn also depends on the physical state of the reactants and the products because processes such as melting solids or vaporizing liquids are also accompanied by enthalpy changes: the enthalpy of fusion (ΔHfus) and the enthalpy of vaporiz</dd></dl></li><li data-page-id="21726" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.7: Enthalpies of Formation" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.07:_Enthalpies_of_Formation"><span class="mt-icon-article-topic"></span>5.7: Enthalpies of Formation</a></dt><dd class="mt-listing-detailed-overview">The standard state for measuring and reporting enthalpies of formation or reaction is 25 oC and 1 atm. The elemental form of each atom is that with the lowest enthalpy in the standard state. The standard state heat of formation for the elemental form of each atom is zero. The enthalpy of formation (ΔHf) is the enthalpy change that accompanies the formation of a compound from its elements. Standard enthalpies of formation (ΔHof) are determined under standard conditions: a pressure of 1 atm for ga</dd></dl></li><li data-page-id="21727" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.8: Foods and Fuels" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.08:_Foods_and_Fuels"><span class="mt-icon-article-topic"></span>5.8: Foods and Fuels</a></dt><dd class="mt-listing-detailed-overview">Thermochemical concepts can be applied to determine the actual energy available in food. The nutritional Calorie is equivalent to 1 kcal (4.184 kJ). 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data-semantic-level-number="1" data-speech-node="true">Δ</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-parent="12" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="1" data-speech-node="true">⁢</mo><msub data-latex="H_{c o m b}" data-semantic-type="subscript" data-semantic-role="simple function" data-semantic-annotation="depth:2" data-semantic-="" data-semantic-children="1,9" data-semantic-parent="12" data-semantic-attributes="latex:H_{c o m b}" data-semantic-owns="1 9" data-semantic-level-number="1" data-speech-node="true"><mi data-latex="H" data-semantic-type="identifier" data-semantic-role="simple function" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:3" data-semantic-="" data-semantic-parent="10" data-semantic-attributes="latex:H" data-semantic-level-number="2" data-speech-node="true">H</mi><mrow data-mjx-texclass="ORD" data-latex="{c o m b}" data-semantic-type="infixop" data-semantic-role="implicit" data-semantic-annotation="clearspeak:unit;depth:3" data-semantic-="" data-semantic-children="2,3,4,5" data-semantic-content="6,7,8" data-semantic-parent="10" data-semantic-attributes="latex:{c o m b};texclass:ORD" data-semantic-owns="2 6 3 7 4 8 5" data-semantic-level-number="2" data-speech-node="true"><mi data-latex="c" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-attributes="latex:c" data-semantic-level-number="3" data-speech-node="true">c</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="o" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-attributes="latex:o" data-semantic-level-number="3" data-speech-node="true">o</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="m" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-attributes="latex:m" data-semantic-level-number="3" data-speech-node="true">m</mi><mo data-semantic-type="operator" data-semantic-role="multiplication" data-semantic-annotation="depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-added="true" data-semantic-operator="infixop,⁢" data-semantic-level-number="3" data-speech-node="true">⁢</mo><mi data-latex="b" data-semantic-type="identifier" data-semantic-role="latinletter" data-semantic-font="italic" data-semantic-annotation="clearspeak:simple;depth:4" data-semantic-="" data-semantic-parent="9" data-semantic-attributes="latex:b" data-semantic-level-number="3" data-speech-node="true">b</mi></mrow></msub></math></mjx-assistive-mml></mjx-container> per gram. The typical caloric contents for food are 9 Cal/g for fats, 4 Cal/g for carbohydrates and proteins, and 0 Cal/g for water and minerals.</dd></dl></li><li data-page-id="24781" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.E: Thermochemistry (Exercises)" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.E:_Thermochemistry_(Exercises)"><span class="mt-icon-article-topic"></span>5.E: Thermochemistry (Exercises)</a></dt><dd class="mt-listing-detailed-overview">These are homework exercises to accompany the Textmap created for "Chemistry: The Central Science" by Brown et al.</dd></dl></li><li data-page-id="70547" class="mt-list-topics"><dl class="mt-listing-detailed"><dt class="mt-listing-detailed-title"><a title="5.S: Thermochemistry (Summary)" class="internal" href="/Sandboxes/johnnyphung/chemistry_central/05:_Thermochemistry/5.S:_Thermochemistry_(Summary)"><span class="mt-icon-article-topic"></span>5.S: Thermochemistry (Summary)</a></dt><dd class="mt-listing-detailed-overview"></dd></dl></li></ul></div></div><script type="application/json" id="mt-localizations-guide-tabs-settings">/*<![CDATA[*/{"MindTouch.IDF3.label.guide.settings.classifications":"Classification settings","MindTouch.IDF3.label.guide.settings.learningpath":"Path settings","MindTouch.IDF3.label.overview.max.count":"{0} characters remaining.","MindTouch.IDF3.label.overview.max.count.over":"Warning. {0} characters will be truncated.","MindTouch.LearningPath.dialog.remove.cancel":"Cancel","MindTouch.LearningPath.dialog.remove.confirm":"OK","MindTouch.LearningPath.dialog.remove.header":"Remove path","MindTouch.LearningPath.dialog.remove.message":"You are about to remove this path from this guide."}/*]]>*/</script> <p></p> <p class="hideprint">Thumbnail: Dancing Flames of burning charcoal in the dark. 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