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Lect24 - PHYS 172 Modern Mechanics Lecture 24 Heat Capacity...

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Fall 2011 PHYS 172: Modern Mechanics Lecture 24 – Heat Capacity Read 12.6 1

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Last Time Einstein Model of Solids (springs + balls) ( ) ( ) 1 ! ! 1 ! q N q N + ! # = ! # microstates N oscillators & q quanta Fundamental assumption of statistical mechanics Over time, an isolated system in a given macrostate (total energy) is equally likely to be found in any of its microstates (microscopic distribution of energy). 2
Energy is exchanged until the most probable distribution is reached. ln S k ! " int 1 dS T dE ! 1 2 1 1 1 0 dS dS dS dq dq dq = + = 1 2 1 2 dS dS dq dq = Equilibrium = Most Probable Distribution 3

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Brief Review of Heat Capacity Today: Heat Capacity Pb vs Al: A Chain of Reasoning Quantum versus Classical 4
Note: How Do Heat and Work Differ? WORK Compress a solid (force through a distance): SHAPE changes Energy Levels Change HEAT Energy levels don ` t change. Transfer quanta from one place to another. 5

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Heat Capacity How much heat do you have to add to change the temperature by a certain amount?
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Lect24 - PHYS 172 Modern Mechanics Lecture 24 Heat Capacity...

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