1. problem 1.8, parts (a) and (b) only. I did something like part (c) in class when I showed you the 2-dimensional derivation, showing you where the 2-d β≈2α arose. For part (b), you should definitely make a drawing that goes along with your word explanation (i.e. a drawing alone is not sufficient).
2. problem 1.9
3. problem 1.12. "Volume per molecule" means "V/N." Find (wiki, etc.) the size of the molecules they mention and write those sizes down in order to make this comparison.
4. problem 1.14. Have your final answer to 4 significant figures here.
5. problem 1.16 part (d) only. Use the fixed temperature of 22^oC for this (yes, I know it's unrealistic and will change, but that's OK).
   Note: I did the derivation it talks you through in parts (a)-(c); it would be very good for you to repeat that derivation yourself on a separate sheet of paper. Knowing where the pressure gradient equation, dP/dz=(-)ρg comes from is a very useful thing.
6. The barometric equation for an ideal gas fluid is dP/dz=(-)ρg= (-)(m/N)(g/kT)P, as I derived in class. Now, let the temperature vary with height according to T(z)=T₀-c*z² where c is a constant whose units are ^oC per kilometer², and T_o=22^oC.
   (a) Integrate the barometric equation now (by hand, using Maple, etc.), being sure to use the definite integral height limits of z_f and z₀ as I did in class. You should end up with a general expression with a bunch of letters in this part.
   (b) Assuming that the value for c is c=7.0 ^oC per kilometer², find the atmospheric pressure in Ogden, Utah (see problem 1.16 for Ogden's elevation).
7. problem 1.20
8. problem 1.23. Note: Helium is usually a monatomic gas, He. (Air is mostly diatomic molecules such as N₂, O₂, etc.)
9. problem 1.24

That's all for homework #1. I'll put in a statement like this when I'm finished posting each homework.

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