390_Problem_Set_4 - Problem Set 4 Chem 3900: Physical...

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1 Problem Set 4 Chem 3900: Physical Chemistry II Spring 2009 Due: Class, Wednesday, February 25 th Please make sure to write your name and the recitation you’ll attend. When you print out your work, try to minimize the number of pages. Feel free to use Mathematica to solve these problems. Problem 1. A class with 120 students ( not Chem 3900! ) is graded on a curve with a median grade of B. The number of students receiving each type of grade in this case would be, grade (number of students), A+(3), A(15), A (12), B+(17), B(16), B (16), C+(11), C(10), C (9), D/F(11). (1) Suppose that instead of assigning grades based on performance, the instructor ( not me!) decides to assign grades randomly. How many ways can the instructor assign grades, consistent with this curve? Your answer should be expressed in scientific notation. (2) Following in the footsteps of Boltzmann, assign a dimensionless “grade entropy” to this distribution of grades, and calculate this entropy. (3) Now consider a different grading distribution in which the same number of students is assigned to each of the 10 grade categories listed above. Calculate the “grade entropy” for
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390_Problem_Set_4 - Problem Set 4 Chem 3900: Physical...

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