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.
Enter your answer here:
2. Imagine a single atom of mass M which is free to move in a cubical box of volume V = L3. There is a quantity known as the "quantum concentration," nQ, which is basically the inverse of the volume of a cube whose side has a length equal to the thermal average de Broglie wavelength. The quantum concentration has units of cm-3 or m-3. Estimate the value of the quantum concentration for oxygen at atmospheric pressure and room temperature. Please show the values you pick for each constant needed, and briefly explain how you got your estimate. (Don't forget to specify units.)
3. Consider a system S which consists of 3 particles. Let the partition function which describes this system be called Z3. Also consider three separate systems of just 1 particle each, and let the partition function which describes each of those systems be called Z1. Which is true?
Check the correct answer: a) Z3 = (Z1)3, but only if the particles are distinguishable (not identical).b) Z3 = (Z1)3, but only if the particles are indistinguishable (identical).c) Z3 = [1/(3!)](Z1)3, but only if the particles are distinguishable (not identical).d) Z3 = [1/(3!)](Z1)3, but only if the particles are indistinguishable (identical). e) both (b) and (c).f) both (a) and (d). 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.
I received no help from anyone on this assignment. I received help from someone on this assignment (document in comments section).