pset5 - BE.011/2.772 Problem Set 5 Due March 17, 2004 Dill...

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BE.011/2.772 Problem Set 5 Due March 17, 2004 Dill 9.1, 9.3, 9.8 and 9.10
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l is U 0 , and we are asked to show that this implies that C V T T V = = U 9.3 We are given that V 0. But we know that we can 0 . Thus, T E , p 0 T E , T f , This is useful, because we are likely able measure how the length of the crystal changes with the field . T f , a) The first thing to note in this question is that we are considering T and p as variables (which we end up holding constant). That means that we need to use the Gibbs free energy. S E , which we want. We need to first transform our equation to a new energy variable T 9.8 The first thing to note is that if we take the cross derivatives of dU , we end up getting not a function of V . For this, we need only prove that permute the order of the derivatives, so we get that . 0 SdT Now if we take the cross derivatives we can get an expression for Edp 0 dE p 0 Ep 0 TdS TS pV fdl fl Vdp ldf U TS TdS TS U SdT pdV dU dX X dU H G dG rather than X(T,f,E) .
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.772J taught by Professor Kimhamad-schifferli during the Spring '05 term at MIT.

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pset5 - BE.011/2.772 Problem Set 5 Due March 17, 2004 Dill...

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