1. Now that we are considering systems in which there can be diffusive flow, the "Thermodynamic Identity" from Chapter 3 can become more general. Specifically, we can write dU = .... What are the terms on the right hand side? Briefly explain each term and in particular, explain the signs of each term.
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2. We can think of the chemical potential m as having an internal energy term and an entropy term:
About how big are the internal energy term and the entropy term which combine to yield the chemical potential? Express your answer in terms of t.
What would happen if the gas had an even smaller density, but everything else remained the same? (Which term(s) would change, and in which direction?)
3. The Gibbs factor
Check the correct answer: a) is proportional to the probability of finding a system in state s of energy es and number of particles N.b) is proportional to the probability of finding a system with energy es and number of particles N.c) is already normalized because it includes the number of particles N in the exponential.d) can be summed over all states s of the system to yield the familiar old partition function, Z. Below is a space for your thoughts, including general comments about today's assignment (what seemed impossible, what reading didn't make sense, what we should spend class time on, what was "cool", etc.): You may change your mind as often as you wish. When you are satisfied with your responses click the SUBMIT button.
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