The Micro & Macro picture, Ideal Gas Part II

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The following three questions refer to the material you were to read in preparation for the lesson. Questions one and two require you to write a three or four sentence response. Number three is a multiple choice question. Click in the appropriate circle.

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1.

Suppose you want to find an expression for the entropy of a system whose energies and quantum states you know (such as the ideal gas atom in a box). Describe, mostly in words (and sparingly in equations as needed), the steps that it would be reasonable to take in order to find an expression for the entropy of the system.

2.

Suppose an ideal gas particle were confined to a two-dimensional square whose sides have length L. What would be an expression for n_Q, the quantum concentration? (Briefly define any symbols you use.)
About how big would this quantity be for the helium atom described on page 73 of the text?

3.

Consider a system composed of 2 kinds of particles, X and Y, mixed together. The system has a total of N particles, with N-t of X and t of Y. Let f = t/N, a fraction between 0 and 1 that represents the amount present of type Y.
Which could be a graph of the mixing entropy as a function of f?

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