Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 17, Problem 17.12E

If the n i values are all the same, a shorthand way of indicating a combination is C ( x , y ) , which is read, “How many combinations are there of x distinguishable objects separated into systems, each of which have y things?” Evaluate (a) C ( 10 , 2 ) (b) C ( 3 , 1 ) (c) C ( 6 , 3 ) (d) C ( 6 , 2 ) . (Hint:You should determine the number of systems you need for each case first.)

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Hospital patients are often given glucose (blood sugar) through a tube connected to a bottle suspended over their beds. Suppose that this "drip" supplies glucose at the rate of 15 mg per minute, and each minute 20% of the accumulated glucose is consumed by the body. Then the amount y(t) of glucose (in excess of the normal level) in the body after t minutes satisfies the following. y'  =  15 − 0.2y    (Do you see why?) y(0)  =  0    (zero excess glucose at t = 0) Solve this differential equation and initial condition.
2. You have a two level system and three particles that occupy this system. The total energy is not fixed. Energy kgT 2 kgT Macrostate 1 Macrostate 2 Macrostate 3 Macrostate 4 Figure 2: A diagram of the three macrostates for the two level system. The bottom energy level has energy S and the top energy level has energy (3) (a) Draw into Figure 2 the missing three macrostates. (4) (b) Determine the partition function, q, for this system. (Ь)
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