Phase Equilibria and The Phase Rule

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Questions and Answers

What is the temperature at which a minute amount of solid thymol separates out to form a two-phase solid-liquid system in system X?

  • 13°C
  • 29°C (correct)
  • 35°C
  • 22°C

What is the composition of the mixture at the eutectic point in the salol-thymol system?

  • 34% thymol in salol (correct)
  • 50% thymol in salol
  • 25% thymol in salol
  • 60% thymol in salol

What is the consequence of forming eutectic mixtures in pharmaceuticals?

  • They may become less effective at ambient temperature
  • They may become more stable at ambient temperature
  • They may become more soluble at ambient temperature
  • They may liquefy at ambient temperature (correct)

What is the eutectic temperature of the 1:1 mixture of lidocaine and prilocaine?

<p>18°C (D)</p> Signup and view all the answers

What happens as system X is progressively cooled?

<p>More and more of the thymol separates as solid (C)</p> Signup and view all the answers

What is the lowest temperature at which a liquid phase can exist in the salol-thymol system?

<p>13°C (D)</p> Signup and view all the answers

What is the primary purpose of the phase rule in thermodynamics?

<p>To calculate the number of variables that can be changed independently without affecting the system's equilibrium (B)</p> Signup and view all the answers

What does the number of degrees of freedom represent in the context of phase equilibria?

<p>The number of intensive variables that must be fixed to describe the system completely (D)</p> Signup and view all the answers

What is the primary characteristic of a one-component system in terms of phase equilibria?

<p>It can exist in multiple phases at a single temperature and pressure (C)</p> Signup and view all the answers

What is the purpose of a phase diagram, such as the one shown in Figure 2?

<p>To illustrate the relationship between temperature, pressure, and phase equilibria (D)</p> Signup and view all the answers

What is the significance of the phase rule in understanding the behavior of a system at equilibrium?

<p>It allows for the prediction of the system's phase behavior at a given temperature and pressure (C)</p> Signup and view all the answers

What is the primary purpose of a tie line in a two-component system?

<p>To calculate the composition of each phase. (A)</p> Signup and view all the answers

What is the relationship between the number of degrees of freedom and the number of intensive variables in a system?

<p>The number of degrees of freedom is the least number of intensive variables that must be fixed to describe the system completely (A)</p> Signup and view all the answers

What is the minimum number of phases present in a two-component system at equilibrium?

<p>2 (A)</p> Signup and view all the answers

What happens to the composition of the phases when the temperature of a two-component system is increased?

<p>The composition of the phases changes. (C)</p> Signup and view all the answers

What is the purpose of the phase rule in a two-component system?

<p>To determine the number of variables that can be changed independently. (C)</p> Signup and view all the answers

Suppose we prepare a system containing 60% by weight of thymol in salol and raise the temperature of the mixture to 50°C. What can be said about the system at this point?

<p>The system is at equilibrium. (C)</p> Signup and view all the answers

What is the importance of knowing the composition of each phase in a two-component system?

<p>It is used to determine the weight of each phase. (C)</p> Signup and view all the answers

What is the role of the tie line in determining the weight of each phase?

<p>It is used to determine the weight of each phase directly. (C)</p> Signup and view all the answers

What happens to the weight of each phase when the temperature of a two-component system is increased?

<p>The weight of each phase changes. (A)</p> Signup and view all the answers

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Study Notes

Phase Equilibria and The Phase Rule

  • The phase rule is a relationship that determines the least number of independent variables (e.g., temperature, pressure, density, and concentration) that can be changed without changing the equilibrium state of the system.
  • The number of variables that may be changed independently without causing the appearance of a new phase or disappearance of an existing phase is referred to as the number of degrees of freedom.
  • The number of degrees of freedom is the least number of intensive variables that must be fixed/known to describe the system completely.

One Component Systems

  • A phase diagram for water at moderate pressures is shown in Figure 2.

Two Component Systems

  • Importance of Tie line:
    • Calculation of the composition of each phase.
    • Determination of the weight of each phase.

Phase Diagrams and Eutectic Points

  • A system containing 60% by weight of thymol in salol:
    • Remains a single liquid until the temperature falls to 29°C, at which point a minute amount of solid thymol separates out to form a two-phase solid–liquid system.
    • As the system is progressively cooled, more and more of the thymol separates as solid.
  • A system containing salol and thymol:
    • The solid phase that separates at 22°C is pure salol.
    • The lowest temperature at which a liquid phase can exist in the salol–thymol system is 13°C, and this occurs in a mixture containing 34% thymol in salol.
    • This point on the phase diagram is known as the eutectic point, where three phases (liquid, solid salol, and solid thymol) coexist.

Pharmaceutical Importance

  • Numerous drugs form eutectic mixtures (solid dispersion), with the consequence that they may liquefy at ambient temperature owing to the melting point decrease characteristic at the eutectic point.
  • Example: Lidocaine and prilocaine, two local anesthetic agents, form a 1:1 mixture having a eutectic temperature of 18°C.

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