1. How many phases are present at each of the points a-d indicated in the phase diagram (for a pure substance)? Evaluate the number of degrees of freedom based on Gibbs' phase rule for each point. Pressure Temperature 2. Using the same phase diagram as in (1), trace the following processes using points to label initial and final states and a directed arrow to show the change: a. The substance starts in the single-phase region occupied by point a, is heated isobarically, passes through a triple point, and then ends as another single phase to the right of this triple point. b. The substance starts at the lowest single-phase region and is then compressed isothermally until it completely undergoes three phase transitions. C. The substance starts as a two-phase mixture along the line that contains d, expands isothermally until it becomes a single phase within the region of a, and then is heated at constant pressure until it becomes a two-phase mixture on the line between b and c.

1. How many phases are present at each of the points a-d indicated in the phase diagram (for a pure substance)? Evaluate the number of degrees of freedom based on Gibbs' phase rule for each point. Pressure Temperature 2. Using the same phase diagram as in (1), trace the following processes using points to label initial and final states and a directed arrow to show the change: a. The substance starts in the single-phase region occupied by point a, is heated isobarically, passes through a triple point, and then ends as another single phase to the right of this triple point. b. The substance starts at the lowest single-phase region and is then compressed isothermally until it completely undergoes three phase transitions. C. The substance starts as a two-phase mixture along the line that contains d, expands isothermally until it becomes a single phase within the region of a, and then is heated at constant pressure until it becomes a two-phase mixture on the line between b and c.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter6: Equilibria In Single-component Systems

Section: Chapter Questions

Problem 6.25E: 6.25. Phosphorus exists as several allotropes that have varying properties. The enthalpy of...

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6.25. Phosphorus exists as several allotropes that have varying properties. The enthalpy of transition from white P to red P, , is . The densities of white and red phosphorus are and , respectively. At what temperature does white phosphorus become the stable phase at of pressure? Assume the formula for phosphorus is .
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