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Unformatted text preview: measured and behaves as shown to the right. The numbers on the plot indicate the slope of ln( ) vs. 1/T. Label the regions of this graph. Draw a schematic band diagram for this material in the form of E vs. N (E). Indicate as many energy terms as you can (in units of eV). 6. The phase diagram of H 2 O is shown to the right. a) For T 1 = 5C plot schematically G solid , G liquid and G vapor as functions of P. b) Do the same for T 2 = 10C. c) What is G P T N i ,{ } ? pressure, atm temperature, C1C, 0.05atm10 10 20 liquid solid vapor 7. Show that the entropy (per mole) due to mixing of A and B atoms is given by S mix = RX A lnX A RX B lnX B . a) Begin with the statistical definition of entropy, S = k b ln , b) Compare the entropies of the mixed and unmixed solutions (having N o atoms) c) Use Stirlings approximation, ln(N!) ~ Nln(N) N for large N, to evaluate S d) Note the relationship between k b , R and N o ....
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This note was uploaded on 01/03/2012 for the course MS 115a taught by Professor List during the Fall '09 term at Caltech.
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