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<blockquote data-quote="fishD" data-source="post: 12754112" data-attributes="member: 289272"><p><strong><span style="color: DarkRed"><u><strong><span style="font-size: 22px">Thermodynamics</span></strong></u></span></strong></p><p></p><p><strong><span style="color: Green">First law</span></strong></p><p></p><p> <span style="color: Green">The <a href="http://en.wikipedia.org/wiki/First_law_of_thermodynamics" target="_blank">first law of thermodynamics</a> may be expressed by several forms of the <a href="http://en.wikipedia.org/wiki/Fundamental_thermodynamic_relation" target="_blank">fundamental thermodynamic relation</a> for a closed system:</span></p><p> <span style="color: Green"><em>Increase in internal energy of a system</em> = <em>heat supplied to the system</em> - <em>work done by the system</em>. U = Q - W</span> <span style="color: Green"><em>For a <a href="http://en.wikipedia.org/wiki/Thermodynamic_cycle" target="_blank">thermodynamic cycle</a>, the net <a href="http://en.wikipedia.org/wiki/Heat" target="_blank">heat</a> supplied to the system equals the net <a href="http://en.wikipedia.org/wiki/Work_%28thermodynamics%29" target="_blank">work</a> done by the system.</em></span> <span style="color: Green">More specifically, the First Law encompasses the following three principles:</span></p><p> </p><ul> <li data-xf-list-type="ul"><span style="color: Green"><em><a href="http://en.wikipedia.org/wiki/Conservation_of_energy" target="_blank">The law of conservation of energy</a></em></span><ul> <li data-xf-list-type="ul"><span style="color: Green">This states that energy can be neither created nor destroyed. However, energy can change forms, and energy can flow from one place to another. The total energy of an <em>isolated</em> system remains the same.</span></li> </ul> </li> <li data-xf-list-type="ul"><span style="color: Green"><em>The flow of <a href="http://en.wikipedia.org/wiki/Heat" target="_blank">heat</a> is a form of energy transfer.</em></span><ul> <li data-xf-list-type="ul"><span style="color: Green">(In other words, a quantity of heat that flows from a hot object to a cold object can be expressed as an amount of energy being transferred from the hot object to the cold object.)</span></li> </ul> </li> <li data-xf-list-type="ul"><span style="color: Green"><em>Performing <a href="http://en.wikipedia.org/wiki/Work_%28thermodynamics%29" target="_blank">work</a> is a form of energy transfer.</em></span><ul> <li data-xf-list-type="ul"><span style="color: Green">(For example, when a machine lifts a heavy object upwards, some energy is transferred from the machine to the object. The object acquires its energy in the form of <a href="http://en.wikipedia.org/wiki/Gravitational_potential_energy" target="_blank">gravitational potential energy</a> in this example.)</span></li> </ul> </li> </ul><p><span style="color: Green">Combining these three principles gives the first law of thermodynamics.</span></p><p></p><p></p><p></p><p></p><p></p><p></p><p><strong><span style="color: Navy">Second law</span></strong></p><p></p><p> <span style="color: Navy">The <a href="http://en.wikipedia.org/wiki/Second_law_of_thermodynamics" target="_blank">second law of thermodynamics</a> asserts the existence of a quantity called the <a href="http://en.wikipedia.org/wiki/Entropy" target="_blank">entropy</a> of a system and further states that</span></p><p style="margin-left: 20px"> <span style="color: Navy">When two <a href="http://en.wikipedia.org/wiki/Isolated_system" target="_blank">isolated systems</a> in separate but nearby regions of space, each in <a href="http://en.wikipedia.org/wiki/Thermodynamic_equilibrium" target="_blank">thermodynamic equilibrium</a> in itself (but not necessarily in equilibrium with each other at first) are at some time allowed to interact, breaking the isolation that separates the two systems, allowing them to exchange matter or energy, they will eventually reach a mutual thermodynamic equilibrium. The sum of the <a href="http://en.wikipedia.org/wiki/Entropy" target="_blank">entropies</a> of the initial, isolated systems is less than or equal to the entropy of the final combination of exchanging systems. In the process of reaching a new thermodynamic equilibrium, total entropy has increased, or at least has not decreased.</span></p> <p style="margin-left: 20px"></p><p><span style="color: Navy">It follows that the entropy of an isolated macroscopic system never decreases. The second law states that spontaneous natural processes increase entropy overall, or in another formulation that heat can spontaneously be conducted or radiated only from a higher-temperature region to a lower-temperature region, but not the other way around.</span></p><p> <span style="color: Navy">The second law refers to a wide variety of processes, reversible and irreversible. Its main import is to tell about irreversibility.</span></p><p> <span style="color: Navy">The prime example of irreversibility is in the transfer of heat by conduction or radiation. It was known long before the discovery of the notion of entropy that when two bodies of different temperatures are connected with each other by purely thermal connection, conductive or radiative, then heat always flows from the hotter body to the colder one. This fact is part of the basic idea of heat, and is related also to the so-called zeroth law, though the textbooks' statements of the zeroth law are usually reticent about that, because they have been influenced by Carathéodory's basing his axiomatics on the law of conservation of energy and trying to make heat seem a theoretically derivative concept instead of an axiomatically accepted one. Šilahvý (1997) notes that Carathéodory's approach does not work for the description of irreversible processes that involve both heat conduction and conversion of kinetic energy into internal energy by viscosity (which is another prime example of irreversibility), because "the mechanical power and the rate of heating are not expressible as differential forms in the 'external parameters'".<a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-9" target="_blank">[10]</a></span></p><p> <span style="color: Navy">The second law tells also about kinds of irreversibility other than heat transfer, and the notion of entropy is needed to provide that wider scope of the law.</span></p><p> <span style="color: Navy">According to the second law of thermodynamics, in a reversible heat transfer, an element of heat transferred, <em>δQ</em>, is the product of the temperature (<em>T</em>), both of the system and of the sources or destination of the heat, with the increment (<em>dS</em>) of the system's conjugate variable, its <a href="http://en.wikipedia.org/wiki/Entropy" target="_blank">entropy</a> (<em>S</em>)</span></p><p> <span style="color: Navy"><img src="http://upload.wikimedia.org/wikipedia/en/math/0/6/d/06d4d643bc8b4821d724e0a8e2274bee.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /><a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-Guggenheim_1985-0" target="_blank">[1]</a></span> <span style="color: Navy">The second law defines <a href="http://en.wikipedia.org/wiki/Entropy" target="_blank">entropy</a>, which may be viewed not only as a macroscopic variable of classical thermodynamics, but may also be viewed as a measure of deficiency of physical information about the microscopic details of the motion and configuration of the system, given only predictable experimental reproducibility of bulk or <a href="http://en.wikipedia.org/wiki/Macroscopic" target="_blank">macroscopic</a> behavior as specified by macroscopic variables that allow the distinction to be made between heat and work. More exactly, the law asserts that for two given macroscopically specified states of a system, there is a quantity called the difference of entropy between them. The entropy difference tells how much additional microscopic physical information is needed to specify one of the macroscopically specified states, given the macroscopic specification of the other, which is often a conveniently chosen reference state. It is often convenient to presuppose the reference state and not to explicitly state it. A final condition of a natural process always contains microscopically specifiable effects which are not fully and exactly predictable from the macroscopic specification of the initial condition of the process. This is why entropy increases in natural processes. The entropy increase tells how much extra microscopic information is needed to tell the final macroscopically specified state from the initial macroscopically specified state.<a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10" target="_blank">http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10</a></span></p><p></p><p><span style="color: Navy"><a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10" target="_blank">http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10</a></span></p><p><strong><span style="color: Orange">Third law</span></strong></p><p></p><p> <span style="color: Orange">The <a href="http://en.wikipedia.org/wiki/Third_law_of_thermodynamics" target="_blank">third law of thermodynamics</a> is sometimes stated as follows:</span></p><p style="margin-left: 20px"> <span style="color: Orange">The <a href="http://en.wikipedia.org/wiki/Entropy" target="_blank">entropy</a> of a perfect <a href="http://en.wikipedia.org/wiki/Crystal" target="_blank">crystal</a> at <a href="http://en.wikipedia.org/wiki/Absolute_zero" target="_blank">absolute zero</a> is exactly equal to zero.</span></p> <p style="margin-left: 20px"></p><p><span style="color: Orange">At zero temperature the system must be in a state with the minimum thermal energy. This statement holds true if the perfect crystal has only one <a href="http://en.wikipedia.org/wiki/Microstate_%28statistical_mechanics%29" target="_blank">state with minimum energy</a>. Entropy is related to the number of possible microstates according to <em>S</em> = <em>k</em>Bln(<em>Ω</em>), where <em>S</em> is the entropy of the system, <em>k</em>B Boltzmann's constant, and <em>Ω</em> the number of microstates (e.g. possible configurations of atoms). At absolute zero there is only 1 microstate possible (<em>Ω</em>=1) and ln(1) = 0.</span></p><p> <span style="color: Orange">A more general form of the third law that applies to systems such as <a href="http://en.wikipedia.org/wiki/Glass" target="_blank">glasses</a> that may have more than one minimum energy state:</span></p><p style="margin-left: 20px"> <span style="color: Orange">The entropy of a system approaches a constant value as the temperature approaches zero.</span></p> <p style="margin-left: 20px"></p><p><span style="color: Orange">The constant value (not necessarily zero) is called the <a href="http://en.wikipedia.org/wiki/Residual_entropy" target="_blank">residual entropy</a> of the system.</span></p><p></p><p><span style="color: Navy"><a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10" target="_blank">http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10</a></span></p><p><span style="color: Navy"><a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10" target="_blank"></a></span></p><p><span style="color: Navy"><a href="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10" target="_blank"></a></span></p></blockquote><p></p>
[QUOTE="fishD, post: 12754112, member: 289272"] [B][COLOR=DarkRed][U][B][SIZE=6]Thermodynamics[/SIZE][/B][/U][/COLOR][/B] [B][COLOR=Green]First law[/COLOR][/B] [COLOR=Green]The [URL="http://en.wikipedia.org/wiki/First_law_of_thermodynamics"]first law of thermodynamics[/URL] may be expressed by several forms of the [URL="http://en.wikipedia.org/wiki/Fundamental_thermodynamic_relation"]fundamental thermodynamic relation[/URL] for a closed system:[/COLOR] [COLOR=Green][I]Increase in internal energy of a system[/I] = [I]heat supplied to the system[/I] - [I]work done by the system[/I]. U = Q - W[/COLOR] [COLOR=Green][I]For a [URL="http://en.wikipedia.org/wiki/Thermodynamic_cycle"]thermodynamic cycle[/URL], the net [URL="http://en.wikipedia.org/wiki/Heat"]heat[/URL] supplied to the system equals the net [URL="http://en.wikipedia.org/wiki/Work_%28thermodynamics%29"]work[/URL] done by the system.[/I][/COLOR] [COLOR=Green]More specifically, the First Law encompasses the following three principles:[/COLOR] [LIST] [*][COLOR=Green][I][URL="http://en.wikipedia.org/wiki/Conservation_of_energy"]The law of conservation of energy[/URL][/I][/COLOR] [LIST] [*][COLOR=Green]This states that energy can be neither created nor destroyed. However, energy can change forms, and energy can flow from one place to another. The total energy of an [I]isolated[/I] system remains the same.[/COLOR] [/LIST] [*][COLOR=Green][I]The flow of [URL="http://en.wikipedia.org/wiki/Heat"]heat[/URL] is a form of energy transfer.[/I][/COLOR] [LIST] [*][COLOR=Green](In other words, a quantity of heat that flows from a hot object to a cold object can be expressed as an amount of energy being transferred from the hot object to the cold object.)[/COLOR] [/LIST] [*][COLOR=Green][I]Performing [URL="http://en.wikipedia.org/wiki/Work_%28thermodynamics%29"]work[/URL] is a form of energy transfer.[/I][/COLOR] [LIST] [*][COLOR=Green](For example, when a machine lifts a heavy object upwards, some energy is transferred from the machine to the object. The object acquires its energy in the form of [URL="http://en.wikipedia.org/wiki/Gravitational_potential_energy"]gravitational potential energy[/URL] in this example.)[/COLOR] [/LIST] [/LIST] [COLOR=Green]Combining these three principles gives the first law of thermodynamics.[/COLOR] [B][COLOR=Navy]Second law[/COLOR][/B] [COLOR=Navy]The [URL="http://en.wikipedia.org/wiki/Second_law_of_thermodynamics"]second law of thermodynamics[/URL] asserts the existence of a quantity called the [URL="http://en.wikipedia.org/wiki/Entropy"]entropy[/URL] of a system and further states that[/COLOR] [INDENT] [COLOR=Navy]When two [URL="http://en.wikipedia.org/wiki/Isolated_system"]isolated systems[/URL] in separate but nearby regions of space, each in [URL="http://en.wikipedia.org/wiki/Thermodynamic_equilibrium"]thermodynamic equilibrium[/URL] in itself (but not necessarily in equilibrium with each other at first) are at some time allowed to interact, breaking the isolation that separates the two systems, allowing them to exchange matter or energy, they will eventually reach a mutual thermodynamic equilibrium. The sum of the [URL="http://en.wikipedia.org/wiki/Entropy"]entropies[/URL] of the initial, isolated systems is less than or equal to the entropy of the final combination of exchanging systems. In the process of reaching a new thermodynamic equilibrium, total entropy has increased, or at least has not decreased.[/COLOR] [/INDENT] [COLOR=Navy]It follows that the entropy of an isolated macroscopic system never decreases. The second law states that spontaneous natural processes increase entropy overall, or in another formulation that heat can spontaneously be conducted or radiated only from a higher-temperature region to a lower-temperature region, but not the other way around.[/COLOR] [COLOR=Navy]The second law refers to a wide variety of processes, reversible and irreversible. Its main import is to tell about irreversibility.[/COLOR] [COLOR=Navy]The prime example of irreversibility is in the transfer of heat by conduction or radiation. It was known long before the discovery of the notion of entropy that when two bodies of different temperatures are connected with each other by purely thermal connection, conductive or radiative, then heat always flows from the hotter body to the colder one. This fact is part of the basic idea of heat, and is related also to the so-called zeroth law, though the textbooks' statements of the zeroth law are usually reticent about that, because they have been influenced by Carathéodory's basing his axiomatics on the law of conservation of energy and trying to make heat seem a theoretically derivative concept instead of an axiomatically accepted one. Šilahvý (1997) notes that Carathéodory's approach does not work for the description of irreversible processes that involve both heat conduction and conversion of kinetic energy into internal energy by viscosity (which is another prime example of irreversibility), because "the mechanical power and the rate of heating are not expressible as differential forms in the 'external parameters'".[URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-9"][10][/URL][/COLOR] [COLOR=Navy]The second law tells also about kinds of irreversibility other than heat transfer, and the notion of entropy is needed to provide that wider scope of the law.[/COLOR] [COLOR=Navy]According to the second law of thermodynamics, in a reversible heat transfer, an element of heat transferred, [I]δQ[/I], is the product of the temperature ([I]T[/I]), both of the system and of the sources or destination of the heat, with the increment ([I]dS[/I]) of the system's conjugate variable, its [URL="http://en.wikipedia.org/wiki/Entropy"]entropy[/URL] ([I]S[/I])[/COLOR] [COLOR=Navy][IMG]http://upload.wikimedia.org/wikipedia/en/math/0/6/d/06d4d643bc8b4821d724e0a8e2274bee.png[/IMG][URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-Guggenheim_1985-0"][1][/URL][/COLOR] [COLOR=Navy]The second law defines [URL="http://en.wikipedia.org/wiki/Entropy"]entropy[/URL], which may be viewed not only as a macroscopic variable of classical thermodynamics, but may also be viewed as a measure of deficiency of physical information about the microscopic details of the motion and configuration of the system, given only predictable experimental reproducibility of bulk or [URL="http://en.wikipedia.org/wiki/Macroscopic"]macroscopic[/URL] behavior as specified by macroscopic variables that allow the distinction to be made between heat and work. More exactly, the law asserts that for two given macroscopically specified states of a system, there is a quantity called the difference of entropy between them. The entropy difference tells how much additional microscopic physical information is needed to specify one of the macroscopically specified states, given the macroscopic specification of the other, which is often a conveniently chosen reference state. It is often convenient to presuppose the reference state and not to explicitly state it. A final condition of a natural process always contains microscopically specifiable effects which are not fully and exactly predictable from the macroscopic specification of the initial condition of the process. This is why entropy increases in natural processes. The entropy increase tells how much extra microscopic information is needed to tell the final macroscopically specified state from the initial macroscopically specified state.[URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10"][/URL][/COLOR] [COLOR=Navy][URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10"][/URL][/COLOR] [B][COLOR=Orange]Third law[/COLOR][/B] [COLOR=Orange]The [URL="http://en.wikipedia.org/wiki/Third_law_of_thermodynamics"]third law of thermodynamics[/URL] is sometimes stated as follows:[/COLOR] [INDENT] [COLOR=Orange]The [URL="http://en.wikipedia.org/wiki/Entropy"]entropy[/URL] of a perfect [URL="http://en.wikipedia.org/wiki/Crystal"]crystal[/URL] at [URL="http://en.wikipedia.org/wiki/Absolute_zero"]absolute zero[/URL] is exactly equal to zero.[/COLOR] [/INDENT] [COLOR=Orange]At zero temperature the system must be in a state with the minimum thermal energy. This statement holds true if the perfect crystal has only one [URL="http://en.wikipedia.org/wiki/Microstate_%28statistical_mechanics%29"]state with minimum energy[/URL]. Entropy is related to the number of possible microstates according to [I]S[/I] = [I]k[/I]Bln([I]Ω[/I]), where [I]S[/I] is the entropy of the system, [I]k[/I]B Boltzmann's constant, and [I]Ω[/I] the number of microstates (e.g. possible configurations of atoms). At absolute zero there is only 1 microstate possible ([I]Ω[/I]=1) and ln(1) = 0.[/COLOR] [COLOR=Orange]A more general form of the third law that applies to systems such as [URL="http://en.wikipedia.org/wiki/Glass"]glasses[/URL] that may have more than one minimum energy state:[/COLOR] [INDENT] [COLOR=Orange]The entropy of a system approaches a constant value as the temperature approaches zero.[/COLOR] [/INDENT] [COLOR=Orange]The constant value (not necessarily zero) is called the [URL="http://en.wikipedia.org/wiki/Residual_entropy"]residual entropy[/URL] of the system.[/COLOR] [COLOR=Navy][URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10"][/URL][/COLOR] [COLOR=Navy][URL="http://en.wikipedia.org/wiki/Laws_of_thermodynamics#cite_note-10"] [/URL][/COLOR] [/QUOTE]
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