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Miscellaneous

Miscellaneous. Contributions by: John L. Falconer & Will Medlin Department of Chemical and Biological Engineering University of Colorado Boulder, CO 80309-0424 Supported by the National Science Foundation. Consider the following exact differential: Which of the following is incorrect?. A.

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Miscellaneous

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  1. Miscellaneous Contributions by: John L. Falconer & Will MedlinDepartment of Chemical and Biological EngineeringUniversity of ColoradoBoulder, CO 80309-0424 Supported by the National Science Foundation

  2. Consider the following exact differential: Which of the following is incorrect? A. C. D. B. E.

  3. Which Maxwell relationship can be derived from the fundamental property relationship: A. C. D. B. E.

  4. For this P-H diagram, which is the most likely behavior for a constant volume process at the critical volume? B A D C E P H

  5. Which of these derivatives is zero for an ideal gas? 1, 3, & 6 2, 3, & 6 2 & 6 4 & 6 5 & 6 1) 2) 3) 4) 5) 6)

  6. As the temperature of a subcritical gas decreases, the correction term in the second virial coefficient _________. approaches zero becomes increasingly positive becomes increasingly negative

  7. Which fluid do you expect to have the largest value of the “a” variable in the van der Waals EOS? Water Helium Methane Nitrogen

  8. Assume you identified three roots using the Peng-Robinson equation of state. Which of the three roots represent the physical state of the system? The liquid root because liquids have lower U The vapor root because vapors have higher S The middle root Vapor and liquid coexist Do not have enough information

  9. Which of the following gases do you expect to have the largest value of “b” in the van der Waals EOS? Helium Oxygen 2,3,5‐Trimethyloctane Water

  10. This is an isotherm at 75°C. There are 3 roots for the cubic EOS at 2 bar. Which is correct about these roots? Z3 > Z2 > Z1 Z1 > Z2 > Z3 Z1 = Z2 = Z3 Z1 = Z3, but cannot say anything about Z2 Depends on the gas, no general relation Fugacity x x P Psat x Z1 Z2 Z3 fvap= fliq V

  11. Why is the compressibility factor less than 1 at most conditions? Attractive forces dominate Repulsive forces dominate Real molecules occupy volume It is not less than 1 at most conditions

  12. Van der Waals accounted for the interaction of molecules. Using any cubic equation of state, an increase in the parameter associated with the strength of the molecular interactions (with everything else constant) would __________ pressure. increase decrease not affect

  13. Comparing a radial distribution function for a square well fluid, how would g(r) change for an Leonard-Jones fluid? The discontinuities at r = σ and r = 1.5 σ would be smoothed out The value of g would be highest at r = 0 The value of g would go through a maximum at r = 1.5 σ

  14. The radial distribution function shown below belongs to: An ideal gas A supercritical fluid A liquid A crystalline solid 15 10 g (r) 5 0 1 2 3 4 5 distance (A)

  15. Which will have the highest magnitude for the enthalpy departure function at 100oC? Water at 2.0 bar Water at 0.5 bar Argon at 2.0 bar Argon at 0.5 bar

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