Chem390_solution_4 - ProblemSet4 Problem 1. (1) number of...

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Unformatted text preview: ProblemSet4 Problem 1. (1) number of possibilities In[8]:= W A 120 ! 3 ! " 15 ! " 12 ! " 17 ! " 16 ! " 16 ! " 11 ! " 10 ! " 9 ! " 11 ! Out[8]= 5 448 297 540 512612918563672792570333385742257553025189020613782904905045120742468687 063028505681207521280000000 (2) dimensionless entropy In[22]:= # A Log W A $ 1. ! Out[22]= 250.374 (3) Equal number of students per grade In[23]:= W B 120 ! " 10 ! # 10 Out[23]= 16895207051905392532437687531579872569661427487516520810147054469668461596117119515 958 027 355 429 671 766558165478691427886458470400000000 In[24]:= # B Log W B $ 1. ! Out[24]= 306.768 Problem 4. (1) entropy for three states First, the partition function plotted vs ! is as follows. At high temperatures (small ! ), it reaches 3, since all three states are accessible whereas at large ! (low temperatures) it approaches 1. When two states are closer two each other (f=0.01 or 0.99), their behaviors are interesting. Q increases from 2->3 at higher temperatures when f=0.01 since two lower states are accessible already whereas Q increases from 1->3 when f=0.99 since top two states are accessible only already whereas Q increases from 1->3 when f=0....
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This note was uploaded on 05/04/2009 for the course CHEM 3900 taught by Professor Park during the Spring '08 term at Cornell University (Engineering School).

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Chem390_solution_4 - ProblemSet4 Problem 1. (1) number of...

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