l02 - 20.110J / 2.772J / 5.601J Thermodynamics of...

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20 .110/5.60 Fall 2005 Lecture #2 page 1 Work, Heat, and the First Law Work : Epansion work: () ext AV wp p = −∆ =− A If ext is not constant, then we have to look at infinitesimal changes dV w = means this is not an exact differential Integral 2 1 depends on the path !!! Other kinds of work Surface work: γ = d A … where is the surface tension (J/m 2 ) and dA is the differential change in area. This is the work to change surface area. Elongation work: where f is the force per unit length and d is the length differential. This is important for discussing changing the length of polymers or DNA. = A wfd Electrostatic work: where V is a fixed potential and de is the change in charge. = wVd e Path dependence of Example: assume a reversible process so that ext = Ar (g, 1 , V 1 ) = Ar (g, 2 , 2 ) Compression 1 > 2 and 1 < 2 d - d - d - d - d - 20.110J / 2.772J / 5.601J Thermodynamics of Biomolecular Systems Instructors: Linda G. Griffith, Kimberly Hamad-Schifferli, Moungi G. Bawendi, Robert W. Field
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20 .110/5.60 Fall 2005 Lecture #2 page 2 p =p 1 ext p 2 ext p 11 ,V p 22 ,V c o m p re ssio n initial final Two paths: (1) First V 1 2 at p = 1 (2)
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This note was uploaded on 11/11/2011 for the course BIO 20.010j taught by Professor Lindagriffith during the Spring '06 term at MIT.

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l02 - 20.110J / 2.772J / 5.601J Thermodynamics of...

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