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# exam_2 - 10.40 Fall 2003 Exam 2 9 to 11 am Thermodynamics...

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10.40 Fall 2003 Thermodynamics Exam 2 9 to 11 am Use of Thermodynamics and Its Applicati ons, 3 rd ed. and 10.40 class notes and handouts and a hand calculator are permitted. No other aids or documents are permitted. Please answer each question in a separate exam book. Be careful about managing your time and be aware of the maximum points allotted to each part of the 6 problems. 1. (20 points) For a 1 mole molecular system that can only occupy any of 4 different states: E 3 = 11 kcal/mol E 2 = 8 kcal/mol E 1 = 8 kcal/mol E o = 3 kcal/mol (a) (4 points) What is U at T = 300 K? (b) (4 points) What is the probability that a given snapshot of the system will have an energy of 3 kcal/mol at 300 K? (c) (4 points) If each energy state is increased by 2 kcal/mol, what is the probability that a given snapshot of the system will have an energy of 3 kcal/mol at 300 K? (d) (4 points) What is U as T gets very large? (e) (4 points) What is U as T gets very small? 2. (10 points) Imagine a lattice consisting of 10000 sites filled with 3000 indistinguishable particles at temperature T . Only one particle can reside at each lattice site and there is no energy of interaction between particles of any type. The

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exam_2 - 10.40 Fall 2003 Exam 2 9 to 11 am Thermodynamics...

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