Due: Tuesday, April 27, 1999

1. Smith, van Ness & Abbott, problem 13.9
2. Smith, van Ness & Abbott, problem 13.17.
3. Apply the Peng-Robinson equation of state to water. See Eq. 13.32 and associated formulas for details, and use Table B.1 for critical properties and acentric factor needed in the equation. Do the following
1. Plot four isotherms (all on the same graph) using the equation of state; that is, plot pressure (in bar) versus density (in mol/liter) for four temperatures: T = 373.15K, T = 600K, 647.1K, and T = 700 K. Plot for pressures ranging from 0 to 500 bar. Add to your graph experimental data to compare against the equation of state prediction. Use at least 5 (preferably more) representative points for each isotherm---"representative" means that you should have data points over the entire range of your plot. Also place on your plot predictions of the ideal-gas equation of state, but only over the range in which you find it is valid (i.e., to avoid cluttering up the diagram, truncate the ideal-gas plot where it begins to depart from the others).
   
   You can get experimental data from the steam tables in the back of your book, but data are not given there for the complete range of your plot. Obtain additional data from more extensive steam tables in the library, or you might try the NIST Chemistry Webbook.
   
2. Use the equation of state to prepare a plot of the vapor-liquid coexistence curve in the pressure-density plane, for temperatures ranging from the freezing point to the critical point. Add representative data points, which are available in Table F.1 over the entire range of your plot.

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