# lec12 - MIT OpenCourseWare http/ocw.mit.edu 8.044...

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Unformatted text preview: MIT OpenCourseWare http://ocw.mit.edu 8.044 Statistical Physics I Spring 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . ~~~~~~~ Paths Experimental conditions, not just math floating piston fills container bath insulation ∆ V=0 ∆ P=0 ∆ T=0 ∆ Q=0 8.044L12B1 ∆ Q = 0 could come from time considerations Example Sound Wave ρ (x) v x too fast for heat to flow out of compressed regions 1 v = ρκ S 8.044L12B2 Example Hydrostatic system: an ideal gas, PV=NkT ∂U New information = 0 , ∂V T 3 possible sources • Experiment free expansion bath initially at T observe T f = T i i 8.044L12B3 No work done so ∆ W = 0 T f = T i ⇒ ∆ Q = 0 together ∆ U = 0 ( ∂U/∂V ) T = 0 → ⇒ here quasi-static changes • Physics: no interactions, single particle energies only ⇒ ( ∂U/∂V ) T = 0 Thermo: 2 nd law + ( P V = NkT ) ⇒ ( ∂U/∂V ) T = 0 • 8.044 L12B4 Consequences ∂U ∂U dU = dT + dV ∂T V ∂V T C V 0 T U = C...
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## This note was uploaded on 11/08/2011 for the course PHYSICS 8.004 taught by Professor Staff during the Spring '08 term at MIT.

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lec12 - MIT OpenCourseWare http/ocw.mit.edu 8.044...

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