PHYS 330 Homework
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   Homework #8: Due Friday, October 17, by 5:30pm.
  1. problem 5.48. When you do these derivations remember--no sudden "miracles" where the answer just suddenly pops up out of chaos.
  2. The van der Waals parameters for methane are a=2.300 atm L2/mol2 and b=0.0430 L/mol. Find (P, V, T) of the critical point for methane. Be careful of your units.
  3. Time to construct the phase diagram for the all-too-familiar water H2O. The triple point for water is characterized by PTP=6.04x10-3atm, PTP273.16K.
    1. Use the data in the thermodynamic table in the back of your book to contruct the liquid-vapor line by filling in a table with the following headings: P(atm) , T(K), ΔH(kJ/mol), where ΔH is the heat/enthalpy for the phase transition at the initial temperature Ti for that data point. Do this for at least 10K, using an appropriate ΔT.
    2. Use the data in the thermodynamic table in the back of your book to contruct the solid-vapor line by filling in a table with the following headings: P(atm) , T(K), ΔH(kJ/mol), where ΔH is the heat/enthalpy for the phase transition at the initial temperature Ti for that data point. Do this for at least 10K, using an appropriate ΔT.
    3. Use the data in the thermodynamic table in the back of your book to contruct the solid-liquid line by filling in a table with the following headings: P(atm) , T(K), ΔH (kJ/mol), where ΔH is the heat/enthalpy for the phase transition at the initial temperature Ti for that data point. Do this for at least 1K, using an appropriate ΔT.
    4. Note: I strongly suggest you do as I did and set this up in a spreadsheet, and turn in the printout of that sheet. Otherwise, you will need to fill out the table by hand.
  4. You have 4 two-sided (heads, tails) coins that you are flipping. What is the probability of getting (a) one heads and 3 tails, (b) two heads and two tails, (c) three heads and one tail, and (d) 4 tails?
   That's all for homework #8.