#### Interactive Self-Study Module: Clapeyron, Clausius-Clapeyron, and Antoine Equations

##### Overview:

This module uses screencasts and interactive simulations to explain the Clapeyron, Clausius-Clapeyron, and Antoine equations. It then provides example problems to allow the user to test themselves. Your retention of material in this module will increase if you write down reasons for your answers to ConcepTests, questions in screencasts, and questions to answer before using interactive simulations, and you try to solve the example problems before watching the screencast solutions. We suggest using the learning resources in the following order:

- Attempt to answer the multiple-choice ConcepTest and solve the example problem before watching the screencast or working with the simulation.
- Watch the screencast that derives the Clapeyron and Clausius-Clapeyron equations and answer the questions within the screencast.
- Review important equations for this topic.
- Use the interactive simulation to compare the Clausius-Clapeyron and Antoine equations.
- Try to solve the example problems before watching the solutions in the screencasts.
- Answer the ConcepTests.
- Look at the list of key points, but only after you try to list the key points yourself.

##### Motivation:

- This module is intended for a thermodynamics course.

##### Before studying this module, you should be able to:

- Explain vapor-liquid equilibrium for a single component.
- Interpret single-component phase diagrams.
- Apply the ideal gas law.

##### After studying this module, you should be able to:

- Calculate the saturation pressure at a given temperature using Antoine’s equation.
- Calculate the saturation pressure at a given temperature using the Clausius-Clapeyron equation (for vapor-liquid or vapor-solid equilibrium).
- Apply the Clapeyron equation to solid-liquid equilibrium to determine equilibrium pressure as a function of temperature.
- Determine which component has the higher heat of vaporization on a plot of \(ln(P^{sat})\) versus inverse temperature.